{"id":13592,"date":"2023-12-12T16:22:59","date_gmt":"2023-12-12T10:52:59","guid":{"rendered":"https:\/\/envisionmathanswerkey.com\/?p=13592"},"modified":"2023-12-13T16:12:19","modified_gmt":"2023-12-13T10:42:19","slug":"envision-math-common-core-grade-5-answer-key-topic-12","status":"publish","type":"post","link":"https:\/\/envisionmathanswerkey.com\/envision-math-common-core-grade-5-answer-key-topic-12\/","title":{"rendered":"enVision Math Common Core Grade 5 Answer Key Topic 12 Convert Measurements"},"content":{"rendered":"

Go through the\u00a0enVision Math Common Core Grade 5 Answer Key<\/a>\u00a0Topic 12 Convert Measurements<\/strong>\u00a0regularly and improve your accuracy in solving questions.<\/p>\n

enVision Math Common Core 5th Grade Answers Key Topic 12 Convert Measurements<\/h2>\n

\"Envision
\nenVision STEM Project: Grand Canyon<\/strong>
\nDo Research<\/strong> Use the Internet and other sources to learn about the Grand Canyon and the Colorado River. Where is the Grand Canyon? How was it formed? What do the different rock layers tell us? Predict how you think the canyon dimensions will change in a million years.
\nJournal: Write a Report<\/strong> Include what you found. Also in your report:
\n\u2022 Describe the canyon’s dimensions.
\n\u2022 Describe the Colorado River’s dimensions.
\n\u2022 Define erosion.
\n\u2022 Make up and solve problems involving measurement units and conversions.<\/p>\n

Review What You Know<\/strong><\/p>\n

A-Z Vocabulary<\/strong><\/p>\n

Choose the best term from the box. Write it on the blank.<\/p>\n

\u2022 customary
\n\u2022 multiplication
\n\u2022 subtraction
\n\u2022 exponent
\n\u2022 metric<\/p>\n

Question 1.
\nA meter is a unit of length in the ___ system of measurement.
\nAnswer:<\/p>\n

A meter is a unit of length in the Metric system of measurement.<\/p>\n

Question 2.
\nA foot is a unit of length in the ____ system of measurement.
\nAnswer:<\/p>\n

A foot is a unit of length in the British imperial and United States customary system of measurement.<\/p>\n

Question 3.
\nThe division has an inverse relationship with _____
\nAnswer:<\/p>\n

The division has an inverse relationship with Multiplication.<\/p>\n

\"Convert<\/p>\n

Question 4.
\nA(n) ____ shows the number of times a base is used as a factor.<\/p>\n

Answer:<\/p>\n

An Exponent\u00a0shows the number of times a base is used as a factor.<\/p>\n

Multiplication<\/strong><\/p>\n

Find each product.<\/p>\n

Question 5.
\n60 \u00d7 6
\nAnswer:<\/p>\n

60 \u00d7 6 = 360<\/p>\n

Question 6.
\n24 \u00d7 103<\/sup>
\nAnswer:<\/p>\n

24 \u00d7 103\u00a0\u00a0<\/sup><\/p>\n

= 24000<\/p>\n

Question 7
\n16 \u00d7 7
\nAnswer:<\/p>\n

16 \u00d7 7 = 112<\/p>\n

Question 8.
\n102<\/sup> \u00d7 1.6
\nAnswer:<\/p>\n

102<\/sup> \u00d7 1.6 = 160<\/p>\n

Question 9.
\n100 \u00d7 34
\nAnswer:<\/p>\n

100 x 34 = 3400<\/p>\n

Question 10.
\n104<\/sup> \u00d7 0.37
\nAnswer:<\/p>\n

104<\/sup> \u00d7 0.37 = 3700<\/p>\n

Question 11.
\n46.102 \u00d7 102<\/sup>
\nAnswer:<\/p>\n

46.102 \u00d7 102 =\u00a0<\/sup><\/p>\n

= 4702. 404<\/p>\n

Question 12.
\n101<\/sup> \u00d7 0.005
\nAnswer:<\/p>\n

0.05<\/p>\n

Division<\/strong>
\nFind each quotient.<\/p>\n

Question 13.
\n1,000 \u00f7 100
\nAnswer:<\/p>\n

1,000 \u00f7 100<\/p>\n

Quotient = 10<\/p>\n

Question 14.
\n176 \u00f7 16
\nAnswer:<\/p>\n

176 \u00f7 16<\/p>\n

Quotient = 11<\/p>\n

Question 15.
\n3,600 \u00f7 60
\nAnswer:<\/p>\n

3,600 \u00f7 60<\/p>\n

Quotient = 60<\/p>\n

Question 16.
\n120 \u00f7 24
\nAnswer:<\/p>\n

120 \u00f7 24<\/p>\n

Quotient = 5<\/p>\n

Measurement<\/strong>
\nCircle the more appropriate unit of measure for each item.<\/p>\n

Question 17.
\nThe capacity of a swimming pool: liters or milliliters
\nAnswer: Liters<\/p>\n

Question 18.<\/span><\/p>\n

The length of an ear of corn: yards or inches
\nAnswer: Yards<\/p>\n

\"Convert<\/p>\n

Question 19.
\nThe mass of a gorilla: grams or kilograms
\nAnswer: Kilograms<\/p>\n

Question 20.
\nThe weight of a tennis ball: ounces or pounds<\/p>\n

Answer: Ounces<\/p>\n

Question 21.<\/p>\n

Would you use more centimeters or meters to measure the length of car? Explain.
\nAnswer:<\/p>\n

meters is more useful to measure the length of the car.<\/p>\n

meters are used to measure the length of the car. Because centimeters are shorter than meters.<\/p>\n

Pick a Project<\/strong>
\nPROJECT 12A<\/strong>
\nWhat makes a treehouse so cool?
\nProject: Build a Model of a Treehouse
\n\"Envision<\/p>\n

PROJECT 12B<\/strong>
\nWhat would you weigh on Mars?
\nProject: Make a Mobile Display of the Solar System
\n\"Envision<\/p>\n

PROJECT 12C<\/strong>
\nHave you ever heard of National Punch Day?
\nProject: Plan a Class Party
\n\"Envision<\/p>\n

PROJECT 12D<\/strong>
\nWhat are the characteristics of Florida panthers?
\nProject: Design a Zoo Space for Florida Panther Cubs
\n\"Envision<\/p>\n

Lesson 12.1 Convert Customary Units of Length<\/h3>\n

Activity<\/strong><\/p>\n

Solve & Share<\/strong>
\nWilliam has a piece of wire that measures 1 yard long. He will use wire to fix several electrical outlets in his house. How many inches long is the wire? Solve this problem by using bar diagrams.<\/p>\n

You can show the relationship between yards and inches in a bar diagram. Show your work!
\n\"Envision<\/p>\n

\"Envision<\/p>\n

Look Back! Generalize<\/strong> How can you convert inches to yards? Would you multiply or divide when converting from a smaller unit to a larger unit? Explain.<\/p>\n

Visual Learning Bridge<\/strong><\/p>\n

Essential Question<\/strong> How Do You Change from One Leon Unit of Length to Another?<\/p>\n

A.<\/strong>
\nSome frogs can jump 11\\(\\frac{1}{4}\\) feet. What are some other ways to describe the same distance?
\n\"Envision<\/p>\n

The table shows equivalent measures.
\n\"Envision<\/p>\n

B.<\/strong>
\nTo change larger units to smaller units, multiply.
\n\"Envision<\/p>\n

You know 1 foot equals 12 inches.
\n\"Envision
\nYou know 3 feet is equal to 1 yard.<\/p>\n

C.<\/strong>
\nTo change smaller units to larger units, divide.
\nEd’s frog jumped 11 feet. How many yards is this?
\n\"Envision
\n11 \u00f7 3 = 3 R2 So, 11 feet = 3 yards, 2 feet.<\/p>\n

Convince Me! Generalize<\/strong> In the example above, explain how you could use a mixed number to write 11 feet as an equivalent measure in yards.<\/p>\n

Guided Practice<\/strong><\/p>\n

Do You Understand?<\/strong><\/p>\n

Question 1.
\nIf you want to convert yards to feet, what operation would you use?
\nAnswer:<\/p>\n

To convert a yard measurement to a foot measurement,\u00a0multiply the length by the conversion ratio. The length in feet is equal to the yards multiplied by 3.<\/p>\n

\"Convert<\/p>\n

Question 2.
\nIf you want to convert feet to miles, what operation would you use?
\nAnswer:<\/p>\n

To convert a foot measurement to a mile measurement,\u00a0divide the length by the conversion ratio.<\/p>\n

Question 3.
\nWhat are some tools you could select to measure length? Explain when you would use them.
\nAnswer:<\/p>\n

The most common way to measure length is by using the scale on some sort of hand-held tool or implement, but you can also measure length — or distance — with radar, sonar, and laser beams.<\/p>\n

Do You Know How?<\/strong><\/p>\n

In 4-8, convert each unit of length.<\/p>\n

Question 4.
\n9 ft = ___ yd
\nAnswer: 3<\/p>\n

Question 5.
\n8 ft 7 in. = ___ in.
\nAnswer:<\/p>\n

103 inches<\/p>\n

Question 6.
\n5\\(\\frac{1}{2}\\) ft = __in.
\nAnswer: 66 inches<\/p>\n

Question 7.
\n288 in. = __ yd
\nAnswer:<\/p>\n

8 yards<\/p>\n

Question 8.
\n219 in. = ___ ft ___ in. or. ___ ft
\nAnswer:<\/p>\n

18 feet 3 inches<\/p>\n

18.25 ft<\/p>\n

Independent Practice<\/strong><\/p>\n

In 9 and 10, complete the table to show equivalent measures.<\/p>\n

Will the number in your answer be greater than or less than the number in the given measurement?
\n\"Envision<\/p>\n

Question 9.
\n\"Envision
\nAnswer:<\/p>\n

1 feet = 12 inches<\/p>\n

2 feet = 24 inches<\/p>\n

3 feet = 36 inches<\/p>\n

4 feet = 48 inches<\/p>\n

Question 10.
\n\"Envision
\nAnswer:<\/p>\n

1 yard = 3 feet<\/p>\n

2 yard = 6 feet<\/p>\n

3 yard = 9 feet<\/p>\n

4 yard = 12 feet<\/p>\n

In 11-16, convert each unit of length.<\/p>\n

Question 11.
\n3 yd = ___ in.
\nAnswer:<\/p>\n

3 yd = 108 inches<\/p>\n

Question 12.
\n324 ft =__ yd
\nAnswer:<\/p>\n

324 ft = 108 yd<\/p>\n

Question 13.
\n2\\(\\frac{2}{3}\\) mi = ___ ft
\nAnswer:<\/p>\n

2 2\/3 miles = 14080 feet<\/p>\n

Question 14.
\n56 ft = ___ yd ___ ft
\nAnswer:<\/p>\n

56 ft = 18 yd 2 ft<\/p>\n

Question 15.
\n12\\(\\frac{1}{2}\\)\u00a0 = ___ in.
\nAnswer:<\/p>\n

12 1\/2 feet = 150 inches<\/p>\n

Question 16.
\n6 in. = ___ ft
\nAnswer:<\/p>\n

6 in = 0.5 feet<\/p>\n

In 17-19, compare lengths. Write >,<, or = for each \"Envision<\/p>\n

\"Convert<\/p>\n

Question 17.
\n100 ft \"Envision 3 yd
\nAnswer:<\/p>\n

100 ft >3 yd<\/p>\n

Question 18.
\n74 in. \"Envision 2 yds 2 in.
\nAnswer:<\/p>\n

74 in = 2 yd 2 in<\/p>\n

Question 19.
\n5,200 ft 145 in. \"Envision 1 mi 40 in.
\nAnswer:<\/p>\n

5200 ft 145 in > 1 mi 40 in.<\/p>\n

Problem Solving<\/strong><\/p>\n

Question 20.
\nNumber Sense Which number would be greater, the height of a tree in feet or the height of the same tree in yards?
\nAnswer:<\/p>\n

1 feet = 30.48 centimeters<\/p>\n

1 yard = 91.44 centimeters.<\/p>\n

Question 21.
\nReasoning<\/strong> The dimensions of the nation’s smallest post office are 8 feet 4 inches by 7 feet 3 inches. Why would you use the measurement 8 feet 4 inches instead of 7 feet 16 inches?<\/p>\n

Answer:<\/p>\n

16 inches = 1 foot 4 inches<\/p>\n

1 foot is added to 7 inches<\/p>\n

Therefore,<\/p>\n

The measurement 8 feet 4 inches instead of 7 feet 16 inches<\/p>\n

Question 22.
\nRoger earns $24 a week mowing lawns. He spends \\(\\frac{1}{6}\\) of his earnings on lunch and \\(\\frac{2}{3}\\) of his earnings on music. He saves the rest. How many dollars does Roger save? Tell me how you found the answer.
\nAnswer:<\/p>\n

Given that, Roger earns $24 a week<\/p>\n

The amount he spends on his lunch = 1\/6 of his earnings<\/p>\n

Which means, 1\/6 x 24 = 4<\/p>\n

Also given, he spends 2\/3 of his earnings on music<\/p>\n

This means, 2\/3 x 24 = 16<\/p>\n

Total amount he spend = 16 + 4 = 20<\/p>\n

Remaining amount = 24 – 20<\/p>\n

= $4<\/p>\n

Therefore, Roger saves 4 dollars.<\/p>\n

Question 23.
\nAriana has 144 peaches. She has to pack 9 boxes with an equal number of peaches. How many peaches should she pack in each box?
\n\"Envision
\nAnswer:<\/p>\n

Total number of peaches = 144<\/p>\n

The number of boxes she has to pack\u00a0 = 9<\/p>\n

Now,<\/p>\n

144\/9 = 16<\/p>\n

Therefore, Ariana has to pack 15 peaches in each box.<\/p>\n

Question 24.
\nHigher-Order Thinking<\/strong> How do you convert 108 inches to yards?
\nAnswer:<\/p>\n

108 inches = 3 yards<\/p>\n

1 inch = 0.02 yards<\/p>\n

108 inches =<\/p>\n

= 108 x 0.02<\/p>\n

= 3 yards.<\/p>\n

Question 25.
\nA-Z Vocabulary<\/strong> What is an appropriate customary unit to use when measuring the length of a driveway? Justify your answer.
\nAnswer:<\/p>\n

The most appropriate units are either feet, yards, or meters.<\/p>\n

Assessment Practice<\/strong><\/p>\n

Question 26.
\nSelect all of the measurements greater than 7 feet.
\n\"Envision 2 yards
\n\"Envision 2 yards 2 inches
\n\"Envision 2 yards 2 feet
\n\"Envision 3 yards
\nAnswer:<\/p>\n

c. 2 yards 2 feet<\/p>\n

d. 3 yards.<\/p>\n

Question 27.
\nSelect all of the measurements less than 435 inches.
\n\"Envision 37 feet
\n\"Envision 36 feet 2 inches
\n\"Envision 12 yards 3 inches
\n\"Envision 12 feet 3 inches
\nAnswer:<\/p>\n

36 feet 2 inches<\/p>\n

12 feet 3 inches<\/p>\n

Lesson 12.2 Convert Customary Units of Capacity<\/h3>\n

Activity<\/strong><\/p>\n

Solve&Share<\/strong><\/p>\n

A recipe makes 16 cups of soup. How many quarts does the recipe make? Remember, there are 2 cups in a pint and 2 pints in a quart. Solve this problem any way you choose!<\/p>\n

\"Envision<\/p>\n

Given,<\/p>\n

There are 16 cups of soup<\/p>\n

4 cup =\u00a0 1 quart<\/p>\n

16 cups = 4 pints.<\/p>\n

You can use reasoning to help you convert between different units.
\n\"Envision<\/p>\n

Look Back!<\/strong> Is the number of cups greater than or less than the number of quarts? Why do you think that is?<\/p>\n

Visual Learning Bridge<\/strong><\/p>\n

Essential Question<\/strong> How Do You Convert Customary stion Units of Capacity?<\/p>\n

A.<\/strong>
\nSue is making punch. She needs 3\\(\\frac{3}{4}\\) cups of orange juice and 5 pints of lemonade. How many fluid ounces of orange juice and how many quarts of lemonade does she need?<\/p>\n

1 gallon (gal) = 4 quarts (qt)
\n1 quart = 2 pints (pt)
\n1 pint = 2 cups (c)
\n1 cup = 8 fluid Ounces (fl oz)<\/p>\n

You can multiply or divide to convert one unit of capacity to a different one.
\n\"Envision<\/p>\n

B.<\/strong>
\nTo change a larger unit to a smaller unit, multiply.
\n\"Envision<\/p>\n

C.<\/strong>
\nTo change a smaller unit to a larger unit, divide.
\n\"Envision
\nFind 5 \u00f7 2.
\n5 \u00f7 2 = \\(\\frac{5}{2}\\) = 2\\(\\frac{1}{2}\\)
\nSo, 5 pints = 2\\(\\frac{1}{2}\\) quarts.<\/p>\n

Convince Me! Generalize<\/strong> When you convert from pints to quarts, why do you divide?<\/p>\n

Guided Practice<\/strong><\/p>\n

Do You Understand?<\/strong><\/p>\n

Question 1.
\nWhy would you change 4 gallons 5 quarts to 5 gallons 1 quart?
\nAnswer:<\/p>\n

Given, 4 gallons 5 quarts<\/p>\n

4 quarts = 1 gallon<\/p>\n

So, 4 gallons 5 quarts can also be written as 5 gallons 1 quart.<\/p>\n

Question 2.
\nWhy is \\(\\frac{1}{8}\\) cup equal to 1 fluid ounce?
\nAnswer:<\/p>\n

1 cup = 8 fluid ounces<\/p>\n

1\/8 cup = 2 tablespoon\u00a0 = 1 fluid ounce<\/p>\n

Do You Know How?<\/strong><\/p>\n

In 3-8, convert each unit of capacity.<\/p>\n

Question 3.
\n32c = __ gal
\nAnswer:<\/p>\n

2 gal<\/p>\n

Question 4.
\n\\(\\frac{1}{4}\\)qt = __ gal
\nAnswer:<\/p>\n

64 gal<\/p>\n

Question 5.
\n48 qt = __ pt
\nAnswer:<\/p>\n

96 pt<\/p>\n

Question 6.
\n6\\(\\frac{1}{8}\\) qt = __ c
\nAnswer:<\/p>\n

1 qt = 4 cups<\/p>\n

6 qt = 24 cups<\/p>\n

1\/8 qt = 0.5 cups<\/p>\n

6 1\/8 qt = 24.5 cups<\/p>\n

Question 7.
\n73 qt 1 pt = __ pt
\nAnswer: 147 pints<\/p>\n

1 qt = 2 pints<\/p>\n

73 qt= 73 x 2<\/p>\n

= 146<\/p>\n

146 pt + 1 pt<\/p>\n

= 147 pints.<\/p>\n

Question 8.
\n9 pt = __ qt__ pt or ___ qt
\nAnswer:<\/p>\n

1 qt = 2 pt<\/p>\n

9 pt =<\/p>\n

4 qt 1 pt<\/p>\n

or<\/p>\n

4.5 qt.<\/p>\n

Independent Practice<\/strong><\/p>\n

You may need to convert more than once.
\n\"Envision<\/p>\n

In 9-20, convert each unit of capacity.<\/p>\n

Question 9.
\n10 pt = __ qt
\nAnswer: 5 qt<\/p>\n

Question 10.
\n48 fl oz = ___ c
\nAnswer: 6 c<\/p>\n

Question 11.
\n\\(\\frac{1}{2}\\)c = __ pt
\nAnswer: 0.25 pt<\/p>\n

1\u00a0 cup = 0.5 pt<\/p>\n

So, 1\/2 cup = 0.25 pt<\/p>\n

Question 12.
\n9\\(\\frac{1}{4}\\) pt = ___ c
\nAnswer:<\/p>\n

1 pt = 2 cups<\/p>\n

9 pt = 9 x 2 = 18 cups<\/p>\n

1\/4 = 0.5 or 1\/2 cups<\/p>\n

Total = 18+0.5<\/p>\n

= 18.5 cups<\/p>\n

Question 13.
\n36 pt = ___ qt
\nAnswer: 18 qt<\/p>\n

1 pt = 0.5 qt<\/p>\n

36 pt =<\/p>\n

36 x 0.5<\/p>\n

= 18 qt.<\/p>\n

Question 14.
\n30 qt = __ gal __ qt
\nAnswer:<\/p>\n

1 quart = 0.25 gal<\/p>\n

30 qt = 7 gal 2 qt<\/p>\n

Question 15.
\n1qt = ____ gal
\nAnswer:<\/p>\n

1 qt = 0.25 gal<\/p>\n

Question 16.
\n5 gal = ___ c
\nAnswer:<\/p>\n

1 gal = 16 cups<\/p>\n

So, 5 gal = 5 x 16 = 80 cups.<\/p>\n

Question 17.
\n1 gal 1c = ___ fl oz
\nAnswer:<\/p>\n

136 fl oz<\/p>\n

1 gal = 16 c<\/p>\n

16 c + 1 c = 17 c<\/p>\n

1 c = 8 fl oz<\/p>\n

17 c = 17 x 8 = 136 fl oz<\/p>\n

Question 18.
\n7c = __ fl oz
\nAnswer:<\/p>\n

1 cup = 8 fl oz<\/p>\n

7 c = 7 x 8<\/p>\n

= 56 fl oz<\/p>\n

Question 19.
\n72 pt = ___ gal
\nAnswer: 9 gal<\/p>\n

Question 20.
\n\\(\\frac{1}{3}\\) pt = ___ c
\nAnswer:<\/p>\n

1\/3 pt = 0.66 c<\/p>\n

Question 21.
\nComplete the table to show equivalent measures.
\n\"Envision
\nAnswer:<\/p>\n

1 gallon = 4 quarts = 8 pints = 16 cups = 128 fl oz<\/p>\n

2 gallon = 8 quarts = 16 pints = 36 cups = 256 fl oz.<\/p>\n

Problem Solving<\/strong><\/p>\n

For 22-24, use the aquarium.<\/p>\n

Question 22.
\nThe class aquarium holds 2 gallons of water. How many cups is this? How many fluid ounces is this?
\n\"Envision
\nAnswer:<\/p>\n

1 gallon = 16 cups<\/p>\n

Which means, 2 gallon\u00a0 = 2 x 16 = 32 cups<\/p>\n

Therefore, there are 32 cups in 2 gallons<\/p>\n

1 gallon = 128 fl oz<\/p>\n

Which means, 2 gallons = 2 x 128 = 256 fl oz .<\/p>\n

Therefore, 256 fl oz are there in 2 gallons.<\/p>\n

Question 23.
\nSusan finds that 2 pints 1 cup of water have evaporated from the class aquarium. How many pints of water are left in the aquarium?
\nAnswer:<\/p>\n

The number of cups in aquarium = 32 cups<\/p>\n

2 pints 1 cup = 5 cups<\/p>\n

Now, 32 – 5 = 27 cups<\/p>\n

1 cup = 0.5 pints<\/p>\n

So, 27 cups = 13.5 pints<\/p>\n

Therefore, 13.5 pints of water are left in the aquarium.<\/p>\n

Question 24.
\nIf all of the dimensions of the aquarium were doubled, what would be the volume of the new aquarium?
\nAnswer:<\/p>\n

Given,<\/p>\n

the dimensions of the aquarium are doubles means<\/p>\n

Volume = 20 in x 16 in x 18 in<\/p>\n

= 4320 cubic inches.<\/p>\n

Therefore, the volume of the new aquarium = 4320 cubic inches.<\/p>\n

Question 25.
\nCarrie has 3 gallons of paint. Bryan has 10 quarts of paint. How many more pints of paint does Carrie have than Bryan?
\nAnswer:<\/p>\n

Given Carrie has 3 gallons of paint<\/p>\n

3 gallons = 24 pints<\/p>\n

Bryan has 10 quarts of paint<\/p>\n

10 quarts = 20 pints<\/p>\n

Now,<\/p>\n

24 pints – 20 pints<\/p>\n

= 4 pints<\/p>\n

There are 4 more pints of paint Carrie has than Bryan.<\/p>\n

Question 26.
\nReasoning<\/strong> Lorelei filled her 5-gallon jug with water. How many times could she fill her 2-quart canteen with water from the jug? Explain.
\nAnswer:<\/p>\n

1 gallon = 4 quarts<\/p>\n

5 gallons = 4 x 5 = 20 quarts<\/p>\n

Now, 20\/2 = 10<\/p>\n

Therefore, she can fill the canteen by 10 times.<\/p>\n

Question 27.
\nHigher-Order Thinking<\/strong> A recipe calls for 3 tablespoons of pineapple juice. A can of pineapple juice is 12 fluid ounces. How many teaspoons of juice are in the can?
\n\"Envision
\nAnswer:<\/p>\n

Given, a can of pineapple juice = 12 fluid ounces<\/p>\n

1 fl oz = 2 tablespoon<\/p>\n

Now, 12 fl oz = 24 tablespoons<\/p>\n

The amount of pineapple juice recipe contains = 3 tablespoon<\/p>\n

Now, 3\u00a0 x 24 tablespoons = 72 teaspoon<\/p>\n

Therefore, there are 72 teaspoons of pineapple are there in the can.<\/p>\n

Assessment Practice<\/strong><\/p>\n

Question 28.
\nChoose all the measurements that are greater than 4 cups.
\n\"Envision 30 fluid ounces
\n\"Envision 2 pints
\n\"Envision 3 pints
\n\"Envision 1 quart
\n\"Envision 1 gallon
\nAnswer:<\/p>\n

1 gallon > 4 cups.<\/p>\n

Question 29.
\nChoose all the statements that are true.
\n\"Envision 15 pt < 2 gal
\n\"Envision 1 gal < 5 qt
\n\"Envision 12 fl oz > 2c
\n\"Envision 2 qt 1 cup > 10 cups
\n\"Envision 20 pints = 10 quarts
\nAnswer:<\/p>\n

20 pints = 10 quarts<\/p>\n

Lesson 12.3 Convert Customary Units of Weight<\/h3>\n

Activity<\/strong><\/p>\n

Solve & Share<\/strong>
\nMaria adopted 4 dogs. All together they eat 1\\(\\frac{3}{4}\\) pound of food each day. One pound is equal to 16 ounces. How many ounces of food will the dogs eat in 5 days? Solve this problem any way you choose.<\/p>\n

Answer:<\/p>\n

1 pound = 16 ounces<\/p>\n

1 3\/4 pounds = 28 ounces<\/p>\n

Number of days = 5<\/p>\n

Now, 28 x 5<\/p>\n

= 140 ounces<\/p>\n

Therefore, the dogs can eat 140 ounces of food in 5 days.<\/p>\n

A model with Math<\/strong> You can use drawings or equations to solve the problem. Show your work!
\n\"Envision<\/p>\n

Look Back!<\/strong> Which is the larger unit of weight, an ounce or a pound? How can you use this relationship to find the number of ounces in 5 pounds?<\/p>\n

Answer:<\/p>\n

1 pound = 16 ounces<\/p>\n

5 pounds = 5 x 16 = 80 ounces<\/p>\n

Visual Learning Bridge<\/strong><\/p>\n

Essential Question<\/strong> How Can You Convert Units of Weight?<\/p>\n

A.<\/strong>
\nAn adult African elephant weighs about 5 tons. A baby African elephant weighs about 250 pounds. How many pounds does the adult elephant weigh? How can you convert 250 pounds to tons?
\n\"Envision<\/p>\n

To convert from one unit of weight to another, you can use multiplication or division.
\n\"Envision<\/p>\n

B.<\/strong>
\nTo convert from larger units to smaller units, multiply.
\n\"Envision
\nFind 5 \u00d7 2,000.
\n5 \u00d7 2,000 = 10,000
\nSo, 5 tons = 10,000 pounds.<\/p>\n

C.<\/strong>
\nTo convert from smaller units to larger units, divide.
\n\"Envision<\/p>\n

Convince Me! Generalize<\/strong> When you convert 16 pounds to ounces, do you multiply or divide? Explain.<\/p>\n

To convert pounds to ounces we have to multiply.<\/p>\n

16 pounds = 256 ounces<\/p>\n

Guided Practice<\/strong><\/p>\n

Do You Understand?<\/strong><\/p>\n

Question 1.
\nWould it be best to measure the weight of an egg in tons, pounds, or ounces? Explain.
\nAnswer:<\/p>\n

Ounces are the best way to measure the weight of an egg.<\/p>\n

Question 2.
\nWhat types of tools do people select to measure weight? Explain your example.
\nAnswer:<\/p>\n

A scale or a balance are the tools used to measure weight<\/p>\n

A balance is used to determine an object’s mass.<\/p>\n

A scale to measure ounces and pounds.<\/p>\n

Do You Know How?<\/strong><\/p>\n

In 3-6, convert each unit of weight.<\/p>\n

Question 3.
\n2,000 lb = __ T
\nAnswer: 0.907 T<\/p>\n

Question 4.
\n48 oz = ___ lb
\nAnswer: 3 lb<\/p>\n

Question 5.
\n6,500 lb = ___oz
\nAnswer: 96000 oz<\/p>\n

Question 6.
\n\\(\\frac{1}{2}\\) lb = __ oz
\nAnswer: 8 oz<\/p>\n

In 7 and 8, compare. Write >, <, or = for each \"Envision.<\/p>\n

Question 7.
\n2T \"Envision 45,000 lb
\nAnswer:<\/p>\n

2T <\u00a045,000 lb<\/p>\n

Question 8.
\n4 lb \"Envision 64 oz
\nAnswer:<\/p>\n

4 lb = 64 oz<\/p>\n

Independent Practice<\/strong><\/p>\n

In 9-14, convert each unit of weight.<\/p>\n

Will your answer be greater than or less than the number you started with?
\n\"Envision<\/p>\n

Question 9.
\n240 oz = __ lb
\nAnswer: 15 lb<\/p>\n

Question 10.
\n7\\(\\frac{1}{10}\\)T = ___ lb
\nAnswer: 14200lb<\/p>\n

Question 11.
\n8 lb = ___ oz
\nAnswer: 128 oz<\/p>\n

Question 12.
\n4 oz = ___ lb
\nAnswer: 0.25 lb<\/p>\n

Question 13.
\n250 lb = ___ T
\nAnswer: 0.113 T<\/p>\n

Question 14.
\n1 T = ___ oz
\nAnswer: 32,000 oz<\/p>\n

In 15-17, compare. Write >, <, or = for each \"Envision.<\/p>\n

Question 15.
\n5,000 lb \"Envision 3 T
\nAnswer:<\/p>\n

5,000 lb >\u00a03 T<\/p>\n

Question 16.
\n24 lb \"Envision 124 oz
\nAnswer:<\/p>\n

24 lb > 124 oz<\/p>\n

Question 17.
\n64,000 oz \"Envision 2 T
\nAnswer:<\/p>\n

64,000 oz <\u00a02 T<\/p>\n

In 18 and 19, complete each table to show equivalent measures.<\/p>\n

Question 18.
\n\"Envision
\nAnswer:<\/p>\n

1\/2 lb = 8<\/p>\n

2 lb = 32 oz<\/p>\n

5 lb = 80 oz<\/p>\n

Question 19.
\n\"Envision
\nAnswer:<\/p>\n

1\/2 t = 1000 pounds<\/p>\n

2 pounds = 4000<\/p>\n

6 tons = 12,000<\/p>\n

Problem Solving<\/strong><\/p>\n

Question 20.
\nBe Precise<\/strong> The perimeter of the rectangular playground shown below is 160 feet. What is the area of the playground?
\n\"Envision
\nAnswer:<\/p>\n

Given, perimeter = 160 feet<\/p>\n

We know that, perimeter = 2 (l + b )<\/p>\n

160 = 2 ( 50 + b )<\/p>\n

80 = 50 + b<\/p>\n

b = 80 – 50<\/p>\n

b = 30 feet<\/p>\n

We know that area of rectangle = length x breadth<\/p>\n

A = 80 x 30<\/p>\n

= 2400 square feet<\/p>\n

Therefore, Area = 2400 square feet.<\/p>\n

Question 21.
\nenVision\u00ae STEM<\/strong> Humans exploring space have left behind bags of trash, bolts, gloves, and pieces of satellites. There are currently about 4,000,000 pounds of litter in orbit around Earth. Julia says that this amount using number names is four billion. Do you agree? Explain your thinking.
\nAnswer:<\/p>\n

No,\u00a0 I do not agree because 4 billion > 4,000,000<\/p>\n

In 22-25, use the table.<\/p>\n

Question 22.
\nWhat would be the most appropriate unit to measure the combined weight of 4 horses?
\nAnswer: Tons will be the most appropriate unit to measure the combined weight of 4 horses<\/p>\n

\"Envision<\/p>\n

Question 23.
\nAbout how much would 4 horses weigh? Write the weight in two different ways.
\nAnswer: The horses weigh 1500 pounds<\/p>\n

1500 pounds = 0.75 tons<\/p>\n

1500 pounds = 24000 ounces<\/p>\n

Question 24.
\nHow many more ounces do the sheep weigh than the ape?
\nAnswer:<\/p>\n

1600 ounces more the sheep weigh than the ape.<\/p>\n

Question 25.
\nHigher-Order Thinking<\/strong> What is the difference in weight between the horse and the combined weight of the dolphin and the ape? Write your answer in tons.
\nAnswer:<\/p>\n

The\u00a0 weight of 4 horses = 0.75 tons<\/p>\n

The combined weight of dolphin and ape = 0.3 tons<\/p>\n

Now, the difference between the weights =<\/p>\n

= 0.75 – 0.3<\/p>\n

= 0.45 tons<\/p>\n

Therefore, the weight difference = 0.445 tons<\/p>\n

Assessment Practice<\/strong><\/p>\n

Question 26.
\nPart A<\/strong>
\nThe world’s heaviest lobster weighed 44 pounds 6 ounces. Write the lobster’s weight in ounces below.
\n44 lb 6 oz = ___ ounces<\/p>\n

Answer:<\/p>\n

44 lb 6 oz = 710 ounces
\nPart B<\/strong>
\nDescribe the steps you took to find your answer.
\nAnswer:<\/p>\n

1 lb = 16 ounces<\/p>\n

44 lb = 44 x 16<\/p>\n

= 704 oz<\/p>\n

704 oz + 6 oz<\/p>\n

= 710 oz<\/p>\n

Lesson 12.4 Convert Metric Units of Length<\/h3>\n

Activity<\/strong><\/p>\n

Solve & Share<\/strong>
\nMeasure the length of your book in centimeters. Then measure it in millimeters. What do you notice about the two measurements?<\/p>\n

\"Envision<\/p>\n

1 cm = 10 mm<\/p>\n

length of book = 25 cm<\/p>\n

length of book = 250 mm<\/p>\n

You can select appropriate units and tools to measure the length of objects!
\n\"Envision<\/p>\n

Look Back! Use Structure<\/strong> How many meters long is your textbook? How do you know?<\/p>\n

Visual Learning Bridge<\/strong><\/p>\n

Essential Question<\/strong> How Do You Convert Metric question Units of Length?<\/p>\n

A.<\/strong>
\nThe most commonly used metric units of length are the kilometer (km), meter (m), centimeter (cm), and millimeter (mm).
\n1 km = 103<\/sup> m = 1,000 m
\n1 m = 102<\/sup> cm = 100 cm
\n1 m = 103<\/sup> mm = 1,000 mm
\n1 cm = 10 mm
\n\"Envision<\/p>\n

Every metric unit is 10 times as great as the next smaller unit.
\n\"Envision<\/p>\n

B.<\/strong>
\nThe distance between two towns is 3 kilometers. How many meters apart are they?
\n3 km = __ m
\nTo change from larger units to smaller units, multiply.
\nFind 3 \u00d7 103<\/sup>.
\n3 km = 3,000 m
\nSo, the towns are 3,000 meters apart.<\/p>\n

One kilometer equals 1,000 meters.
\n\"Envision
\nTo change from smaller units to larger units, divide.<\/p>\n

C.<\/strong>
\nThe distance between a kitchen and living room is 1,200 centimeters. How many meters apart are they?
\n1,200 cm = __ m
\nFind 1,200 \u00f7 102<\/sup>
\n1,200 cm = 12 m
\nSo, the kitchen and the living room are 12 meters apart.<\/p>\n

Convince Me! Critique Reasoning<\/strong> Elena says that 25 cm is equal to 250 mm. Do you agree? Why or why not?<\/p>\n

Answer:<\/p>\n

Yes, I agree because,<\/p>\n

1 cm = 10 mm<\/p>\n

Now,<\/p>\n

25 cm = 25 x 10 = 250 mm<\/p>\n

Guided Practice<\/strong><\/p>\n

Do You Understand?<\/strong><\/p>\n

Question 1.
\nTo find the number of meters in six kilometers, why do you multiply 6 \u00d7 103<\/sup>?
\nAnswer: 6000 meters = 6 kilometers<\/p>\n

Because, 1 km = 1000 m<\/p>\n

6 km = 6 x 1000 = 6000m<\/p>\n

Question 2.
\nConvert 12.5 centimeters to millimeters. Explain.
\nAnswer:<\/p>\n

12.5 cm = 125 mm<\/p>\n

Explanation:<\/p>\n

1 cm = 10 mm<\/p>\n

12 cm = 120mm<\/p>\n

0.5 cm = 5 mm<\/p>\n

Total : 120 + 5 = 125 mm<\/p>\n

Do You Know How?<\/strong><\/p>\n

In 3-6, convert each unit of length.<\/p>\n

Question 3.
\n103<\/sup> cm = __ m
\nAnswer: 1000 m<\/p>\n

Question 4.
\n58 m = ___ mm
\nAnswer: 58000 mm<\/p>\n

Question 5.
\n1,000 mm = __ cm
\nAnswer: 100 cm<\/p>\n

Question 6.
\n3 km = ___ m
\nAnswer: 3000 m<\/p>\n

In 7 and 8, compare lengths. Write >,<, or = for each \"Envision.<\/p>\n

Question 7.
\n9,000 m \"Envision 20 km
\nAnswer:<\/p>\n

9,000 m <\u00a020 km<\/p>\n

Question 8.
\n400 cm \"Envision 4m
\nAnswer:<\/p>\n

400 cm = 4 m<\/p>\n

Independent Practice<\/strong><\/p>\n

In 9-14, convert each unit of length.<\/p>\n

Question 9.
\n7.5 cm = ___ mm
\nAnswer: 75 mm<\/p>\n

Question 10.
\n6m = __ \u0441m
\nAnswer: 600 cm<\/p>\n

Question 11.
\n0.8 km = ___ cm
\nAnswer: 80000 cm<\/p>\n

Question 12.
\n17,000 m = ___ km
\nAnswer: 17 km<\/p>\n

Question 13.
\n48,000 mm = ___ m
\nAnswer: 48 m<\/p>\n

Question 14.
\n4 km = ___ m
\nAnswer: 4000 m<\/p>\n

In 15-20, compare lengths. Write >, <, or = for each \"Envision.<\/p>\n

Question 15.
\n25,365 cm \"Envision 30 m
\nAnswer:<\/p>\n

25,365 cm >\u00a030 m<\/p>\n

Question 16.
\n3.6 km \"Envision 3,600 m
\nAnswer:<\/p>\n

3.6 km = 3600<\/p>\n

Question 17.
\n1,200 mm \"Envision 12 m
\nAnswer:<\/p>\n

1200 mm< 12 m<\/p>\n

Question 18.
\n52,800 cm \"Envision 1 km
\nAnswer:<\/p>\n

52,800 cm <\u00a0 1 km<\/p>\n

Question 19.
\n7,500,000 m \"Envision 750 km
\nAnswer:<\/p>\n

7,500,000 m > 750 km<\/p>\n

Question 20.
\n800 m \"Envision 799,999 mm
\nAnswer:<\/p>\n

800 m > 799,999 mm<\/p>\n

In 21 and 22, complete each table.<\/p>\n

Question 21.
\n\"Envision
\nAnswer:<\/p>\n

1 km = 1000 m<\/p>\n

0.5 km = 500 m<\/p>\n

0.1 km = 100 m<\/p>\n

Question 22.
\n\"Envision
\nAnswer:<\/p>\n

50 m = 5,000 cm<\/p>\n

5 m = 500 cm<\/p>\n

0.5 m = 50 cm<\/p>\n

Problem Solving<\/strong><\/p>\n

Question 23.
\nNumber Sense<\/strong> Let x = the length of an object in meters and y = the length of the same object in millimeters. Which is a smaller number, x or y?
\nAnswer: y<\/p>\n

1 meter = 1000 mm<\/p>\n

1 mm = 0.001 mm<\/p>\n

Therefore, Y is smaller than x<\/p>\n

Question 24.
\nHigher-Order Thinking<\/strong> How many millimeters are equal to one kilometer? Show your work.
\nAnswer:<\/p>\n

One kilometer is equal to 1000000 millimeters.<\/p>\n

1 km = 1000000 mm<\/p>\n

Question 25.
\nReasoning<\/strong> Which fraction is greater: \\(\\frac{7}{8}\\) or \\(\\frac{9}{12}\\)? Explain how you know.
\nAnswer:<\/p>\n

7\/8 >9\/12<\/p>\n

Explanation :<\/p>\n

L.c.m of 8,12 = 24<\/p>\n

Now,<\/p>\n

7\/8 x 3\/3 = 21\/24<\/p>\n

9\/12 x 2\/2 = 18\/24<\/p>\n

21\/24 > 18\/24<\/p>\n

Therefore,<\/p>\n

7\/8 >9\/12<\/p>\n

Question 26.
\nA week ago, Trudy bought the pencil shown. Now the pencil measures 12.7 centimeters.
\nHow many centimeters of the pencil has been used?
\n\"Envision
\nAnswer:<\/p>\n

The original length of the pencil = 18 cm<\/p>\n

The present length of pencil = 12.7 cm<\/p>\n

Length difference = 18 – 12.7<\/p>\n

= 5.3 cm<\/p>\n

Therefore, the length of pencil used = 5.3 cm<\/p>\n

How do you compare fractions?
\n\"Envision<\/p>\n

Question 27.
\nenVision\u00ae STEM<\/strong> Mount St. Helens, located in Washington, erupted on May 18, 1980. Before the eruption, the volcano was 2.95 kilometers high. After the eruption, the volcano was 2.55 kilometers high. Use the bar diagram to find the difference in height of Mount St. Helens before and after the eruption. Convert the difference to meters.
\n\"Envision
\nAnswer:<\/p>\n

The original height of the volcano = 2.95 km<\/p>\n

After the eruption, the height of the volcano = 2.55 km<\/p>\n

Difference = 2.95 – 2.55<\/p>\n

= 0.4 km<\/p>\n

0.4 km = 400 meters.<\/p>\n

Therefore, the difference in height of the volcano = 400 meters.<\/p>\n

Assessment Practice<\/strong><\/p>\n

Question 28.
\nEileen plants a tree that is 2 meters tall in her yard. Which of the following is equivalent to 2 meters?
\nA. 200 mm
\nB. 20 cm
\nC. 200 km
\nD. 2,000 mm
\nAnswer:<\/p>\n

B. 2 meters = 20 cm<\/p>\n

Question 29.
\nWhich of these number sentences is NOT true?
\nA. 600 cm = 6 m
\nB. 1 m < 9,000 mm
\nC. 900 mm = 9 cm
\nD. 10 km > 5,000 m
\nAnswer:<\/p>\n

B.\u00a01 m < 9,000 mm<\/p>\n

Lesson 12.5 Convert Metric Units of Capacity<\/h3>\n

Solve & Share<\/strong>
\nA pitcher holds 4 liters of water. How many milliliters does the pitcher hold? Solve this problem any way you choose.<\/p>\n

You can convert metric units of capacity using multiplication or division. Show your work!
\n\"Envision<\/p>\n

Answer:<\/p>\n

1 liter = 1000000 milliliters<\/p>\n

4 liters = 4 x 1000000 mL<\/p>\n

= 4000000 mL<\/p>\n

Look Back! Look for Relationships<\/strong> Juanita shares a one-liter bottle of water equally with 3 friends. How much water does each person get? Give your answer in liters and milliliters.<\/p>\n

Visual Learning Bridge<\/strong><\/p>\n

Essential Question<\/strong> How Do You Convert Metric Units of Capacity?<\/p>\n

A.<\/strong>
\nThe most commonly used units of capacity in the metric system are the liter (L) and the milliliter (mL).<\/p>\n

Can you find a liter or milliliter in the real world?
\n\"Envision<\/p>\n

B.<\/strong>
\nSusan has 1.875 liters of water. How many milliliters is this?
\n1.875 L = __ mL
\nTo change a larger unit to a smaller unit, multiply.
\nFind 1.875 \u00d7 103<\/sup>.
\n1.875 \u00d7 103<\/sup> = 1,875
\n1.875 L = 1,875 mL
\nSo, Susan has 1,875 milliliters of water.<\/p>\n

C.<\/strong>
\nJorge has 3,500 milliliters of water. How many liters is this?
\n3,500 mL = __ L
\nTo change a smaller unit to a larger unit, divide.
\nFind 3,500 \u00f7 103<\/sup>.
\n3,500 \u00f7 103<\/sup> = 3.5
\n3,500 mL = 3.5 L
\nSo, Jorge has 3.5 liters of water.<\/p>\n

Convince Me! Reasoning<\/strong> Order these measurements from greatest to least. Explain how you decided.
\n\"Envision<\/p>\n

2,300 L >22L > 3000 mL > 2L > 500 mL<\/p>\n

Guided Practice<\/strong><\/p>\n

Do You Understand?<\/strong><\/p>\n

Question 1.
\nExplain how you can convert milliliters to liters.
\nAnswer:<\/p>\n

1 milliliters = 0.001 liters<\/p>\n

To convert milliliters to liters, we divide by 1000.<\/p>\n

Question 2.
\nWhat types of tools would you select to measure capacity? Give an example and explain how that tool could be used.
\nAnswer:<\/p>\n

The most popular tool used to measure capacity is\u00a0the measuring cup.<\/p>\n

And also There are five basic units for measuring capacity in the U.S. customary measurement system. These are the\u00a0fluid ounce, cup, pint, quart, and gallon.<\/p>\n

Do You Know How?<\/strong><\/p>\n

In 3-8, convert each unit of capacity.<\/p>\n

Question 3.
\n2.75 L = ___ mL
\nAnswer: 2750 ml<\/p>\n

Question 4.
\n3,000 mL = ___L
\nAnswer: 3 L<\/p>\n

Question 5.
\n5L = ___ mL
\nAnswer: 5000 mL<\/p>\n

Question 6.
\n250 mL = __ L
\nAnswer: 0.25 L<\/p>\n

Question 7.
\n0.027 L = __ mL
\nAnswer: 27 ml<\/p>\n

Question 8.
\n400 mL = __ L<\/p>\n

Answer : 0.4 L<\/p>\n

Independent Practice<\/strong><\/p>\n

In 9-20, convert each unit of capacity.<\/p>\n

Question 9.
\n5,000 mL = ___ L
\nAnswer:<\/p>\n

5 L<\/p>\n

Question 10.
\n45,000 mL = __ L
\nAnswer:<\/p>\n

45<\/p>\n

Question 11.
\n4.27 L = __ mL
\nAnswer:<\/p>\n

4270 ml<\/p>\n

Question 12.
\n13 L = ___ mL
\nAnswer:<\/p>\n

13000<\/p>\n

Question 13.
\n3,700 mL = __ L
\nAnswer:<\/p>\n

3.7 L<\/p>\n

Question 14.
\n0.35 L = __ mL
\nAnswer:<\/p>\n

350 ml<\/p>\n

Question 15.
\n2,640 mL = ___ L
\nAnswer:<\/p>\n

2.64 L<\/p>\n

Question 16.
\n314 mL = ___ L
\nAnswer:<\/p>\n

0.314 L<\/p>\n

Question 17.
\n0.06 L = __ mL
\nAnswer:<\/p>\n

60<\/p>\n

Question 18.
\n2,109 mL = ___ L
\nAnswer:<\/p>\n

0.0021<\/p>\n

Question 19.
\n85 mL = __ L
\nAnswer:<\/p>\n

0.085 L<\/p>\n

Question 20.
\n9.05 L = ___ mL
\nAnswer:<\/p>\n

9050<\/p>\n

In 21 and 22, complete each table to show equivalent measures.<\/p>\n

Question 21.
\n\"Envision
\nAnswer:<\/p>\n

0.1 L = 100 mL<\/p>\n

1 L = 1000 mL<\/p>\n

10 L = 10000 mL<\/p>\n

Question 22.
\n\"Envision
\nAnswer:<\/p>\n

500 mL = 0.5<\/p>\n

5000 mL = 5<\/p>\n

50,000 mL =50<\/p>\n

Problem Solving<\/strong><\/p>\n

Question 23.
\nReasoning<\/strong> Carla’s famous punch calls for 3 liters of mango juice. The only mango juice she can find is sold in 500-milliliter cartons. How many cartons of mango juice does Carla need to buy?
\nAnswer:<\/p>\n

Amount of Carla’s Famous punch = 3 liters<\/p>\n

We know that 1 liter = 1000 milliliters<\/p>\n

Also given, 500 mL = 1 Carton<\/p>\n

Now, Number of cartons =<\/p>\n

3000\/ 500 = 6<\/p>\n

Therefore, Carla needs to buy 6 cartons of mango juice.<\/p>\n

Question 24.
\nCarla makes 6 liters of punch. She pours the punch into 800 ml bottles. How many bottles can she fill?
\nAnswer:<\/p>\n

6 liters of punch = 6000 milliliters<\/p>\n

Now, 6000\/800<\/p>\n

=\u00a0 7.5<\/p>\n

Therefore, she can fill approximately 7.5 bottles.<\/p>\n

Question 25.
\nBobby filled the jug with water for soccer practice. If each player gets 250 milliliters of water, how many players will the water jug serve?
\n\"Envision
\nAnswer:<\/p>\n

The capacity of water jug =\u00a0 5 liters<\/p>\n

1 litre = 1000 millilitres<\/p>\n

Now, 5 litres = 5000 millilitres<\/p>\n

Now, 5000\/ 250<\/p>\n

= 20<\/p>\n

Therefore, the water jug will serve 20 people.<\/p>\n

Question 26.
\nHigher-Order Thinking<\/strong> One cubic centimeter will hold 1 milliliter of water. How many milliliters will the aquarium below hold? How many liters will it hold?
\n\"Envision
\nAnswer:<\/p>\n

Volume of the aquarium =<\/p>\n

length x width x height<\/p>\n

V =\u00a0 40 x 20 x 30<\/p>\n

V = 24000 cubic centimeters<\/p>\n

We know that, 1 L = 1000 mL<\/p>\n

Therefore, The aquarium holds 24 L .<\/p>\n

Question 27.
\nTerry is buying juice. He needs 3 liters. A half-liter of juice costs $2.39. A 250-milliliter container of juice costs $1.69. What should Terry buy so he gets 3 liters at the lowest price? Explain.
\nAnswer:<\/p>\n

He needs 3 L.<\/p>\n

A half-liter of juice costs $2.39.
\nA 250 mL container of juice costs $1.69.
\nOne liter of juice in half-liter packs costs,<\/p>\n

$2.39 x 2 = $4.78.
\nOne liter of juice in 250 mL packs costs,<\/p>\n

$1.69 x 4 = $6.76.
\nSo, Terry should buy 6 half-liter packs of juice and spend
\n$2.39 x 6 = $9.56 to get 3 liters at the lowest price.<\/p>\n

What steps do you need to do to solve this problem?
\n\"Envision<\/p>\n

Assessment Practice<\/strong><\/p>\n

Question 28.
\nA birdbath holds 4 liters of water. How many milliliters of water does it hold?
\nA. 400 ml
\nB. 800 mL
\nC. 4,000 mL
\nD. 8,000 mL
\nAnswer:<\/p>\n

C. 4,000 mL<\/p>\n

1 litre = 1000 milliliters<\/p>\n

So, 4 litres = 4000 millilitres.<\/p>\n

Question 29.
\nYou are filling a 2-liter bottle with liquid from full 80-milliliter containers. How many containers will it take to fill the
\nA. 400
\nB. 250
\nC. 40
\nD. 25
\nAnswer:<\/p>\n

1 litre = 1000 millilitres<\/p>\n

So, The number of\u00a0 80 mL containers need are<\/p>\n

2000\/80<\/p>\n

= 25<\/p>\n

Therefore, 25 containers are required.<\/p>\n

Lesson 12.6 Convert Metric Units of Mass<\/h3>\n

Activity<\/strong><\/p>\n

Solve & Share<\/strong>
\nIn chemistry class, Rhonda measured 10 grams of a substance. How many milligrams is this? Solve this problem any way you choose.<\/p>\n

Answer:<\/p>\n

1 gram = 1000 mg<\/p>\n

So,<\/p>\n

10 grams = 10000 milligrams.<\/p>\n

Look for Relationships<\/strong> You can use patterns to help you see a relationship between the units.
\n\"Envision<\/p>\n

\"Envision<\/p>\n

Look Back!<\/strong> How many kilograms did Rhonda measure? Write an equation to model your work.<\/p>\n

Visual Learning Bridge<\/strong><\/p>\n

Essential Question<\/strong> How Do You Convert Metric Units of Mass?<\/p>\n

A.<\/strong>
\nThe three most commonly used units of mass are the milligram (mg), the gram (g), and the kilogram (kg).<\/p>\n

\"Envision<\/p>\n

Converting metric (units of mass is like converting other metric units.<\/p>\n

B.<\/strong>
\nA whistle has a mass of about 5 grams. How many milligrams is this?
\nTo change from a larger unit to a smaller unit, multiply.
\nFind 5 \u00d7 103<\/sup>
\n5 \u00d7 103<\/sup> = 5 \u00d7 1,000 = 5,000
\nSo, 5 g = 5,000 mg
\nSo, a whistle has a mass of about 5,000 milligrams.<\/p>\n

C.<\/strong>
\nHow many kilograms is the whistle?
\nTo change from a smaller unit to a larger unit, divide.
\nFind 5 \u00f7 103<\/sup>
\n5 \u00f7 103<\/sup> = 5 \u00f7 1,000 = 0.005
\nSo, 5 g = 0.005 kg.
\nSo, a whistle has a mass of about 0.005 kilograms.<\/p>\n

Convince Me! Use Structure<\/strong> in the picture above, what is the football player’s mass in grams and in milligrams? How can you tell?<\/p>\n

Guided Practice<\/strong><\/p>\n

Do You Understand?<\/strong><\/p>\n

Question 1.
\nA-Z Vocabulary<\/strong> How does the relationship between meters and millimeters help you understand the relationship between grams and milligrams?
\nAnswer:<\/p>\n

1 meter = 1000 millimeters.<\/p>\n

1 Gram = 1000 milligrams.<\/p>\n

Question 2.
\nWhich has the greater mass: 1 kilogram or 137,000 milligrams? Explain how you made your comparison.
\nAnswer:<\/p>\n

137,000 is greater<\/p>\n

Because, 1 kg = 1000000<\/p>\n

Therefore, 137,000 is greater than 1 kg<\/p>\n

Do You Know How?<\/strong><\/p>\n

In 3 and 4, convert each unit of mass.<\/p>\n

Question 3.
\n9.25 g = ___ mg
\nAnswer:<\/p>\n

9250 mg<\/p>\n

Question 4.
\n190 g = __ kg
\nAnswer:<\/p>\n

0.19 kg<\/p>\n

In 5 and 6, compare. Write >,<, or = for each \"Envision<\/p>\n

Question 5.
\n7,000 mg \"Envision 7,000 g
\nAnswer:<\/p>\n

7,000 mg < 7,000 g<\/p>\n

Question 6.
\n102<\/sup> kg \"Envision 104<\/sup> g
\nAnswer:<\/p>\n

102<\/sup> kg >\u00a0104<\/sup> g<\/p>\n

Independent Practice<\/strong><\/p>\n

In 7-12, convert each unit of mass.<\/p>\n

Question 7.
\n17,000 g = ___ kg
\nAnswer:<\/p>\n

17,000 = 17 kg<\/p>\n

Question 8.
\n18 kg = ___ g
\nAnswer:<\/p>\n

18 kg = 18000 g<\/p>\n

Question 9.
\n4,200 mg = ___ g
\nAnswer: 4.2 g<\/p>\n

Question 10.
\n0.276 g = ____ mg
\nAnswer: 276 mg<\/p>\n

Question 11.
\n4.08 kg = ___ g
\nAnswer: 4080 g<\/p>\n

Question 12.
\n43 mg = ___ g
\nAnswer: 0.043 g<\/p>\n

In 13-18, compare. Write >, <, or = for each \"Envision<\/p>\n

Question 13.
\n2,000 g \"Envision 3 kg
\nAnswer:<\/p>\n

2000 g < 3 kg<\/p>\n

Question 14.
\n4 kg \"Envision 4,000 g
\nAnswer:<\/p>\n

4 kg = 4000 g<\/p>\n

4 kg\u00a0 = 4,000 g<\/p>\n

Question 15.
\n104<\/sup> mg \"Envision 13 g
\nAnswer:<\/p>\n

104<\/sup> mg <\u00a013 g<\/p>\n

Question 16.
\n7 kg \"Envision 7,000 g
\nAnswer:<\/p>\n

7 kg < 7000 g<\/p>\n

Question 17.
\n9,000 g \"Envision 8 kg
\nAnswer:<\/p>\n

9000 g > 8 kg<\/p>\n

Question 18.
\n8,000 g \"Envision 5 kg
\nAnswer:<\/p>\n

8000 > 5 kg<\/p>\n

In 19 and 20, complete each table.<\/p>\n

Question 19.
\n\"Envision
\nAnswer:<\/p>\n

1 grams = 1000 milligrams<\/p>\n

10 grams = 10000 milligrams<\/p>\n

100 grams = 100000 milligrams<\/p>\n

Question 20.
\n\"Envision
\nAnswer:<\/p>\n

500 grams = 0.5 kg<\/p>\n

5000 grams = 5 kg<\/p>\n

50000 grams = 50 kg<\/p>\n

Problem Solving<\/strong><\/p>\n

Question 21.
\nMake Sense and Persevere<\/strong> Sheryl has a recipe for pasta with vegetables. The recipe calls for 130 grams of vegetables and twice as much pasta as vegetables. What is the total mass in grams of the recipe?
\nAnswer:<\/p>\n

Given,<\/p>\n

The mass of vegetables = 130 grams<\/p>\n

Also given, the mass of pasta is twice as vegetables<\/p>\n

Which means, 130 x 2 = 260<\/p>\n

Total mass = 260 + 130<\/p>\n

= 390 grams<\/p>\n

Therefore, the total mass of the recipe = 390 grams.<\/p>\n

Question 22.
\nTerri is beginning a science experiment in the lab. The instructions call for 227 milligrams of potassium. Calculate the difference between this amount and 1 gram.
\nAnswer:<\/p>\n

We know that,<\/p>\n

1 gram = 1000 milligrams<\/p>\n

Given that, The weight of potassium = 227 milligrams<\/p>\n

Now, The difference between the amount<\/p>\n

= 1000 – 227<\/p>\n

= 773 grams.<\/p>\n

Therefore, the difference between the amount and 1 gram = 773 grams.<\/p>\n

Question 23.
\nNumber Sense<\/strong> One of the world’s heaviest hailstones weighed 2.2 pounds. Which is more appropriate to express its mass, 1 kilogram or 1 gram?
\nAnswer:<\/p>\n

2.2 pounds = 0.997 kg<\/p>\n

2.2 pounds = 997. 9 grams<\/p>\n

Therefore, 1 kilogram is more appropriate to express the mass.<\/p>\n

Question 24.
\nHigher Order Thinking<\/strong> A cook has 6 onions that have a total mass of 900 grams and 8 apples that have a total mass of 1 kilogram. All onions are the same size, and all apples are the same size. Which has the greater mass, an onion or an apple? Explain.
\nAnswer:<\/p>\n

Given,<\/p>\n

Number of onions = 6<\/p>\n

Total mass = 900 grams<\/p>\n

Weight of each onion = 900\/6<\/p>\n

= 150 grams.<\/p>\n

Number of apples = 8<\/p>\n

Total mass = 1 kg or 1000 grams<\/p>\n

Weight of each apple = 1000\/8<\/p>\n

= 125 grams.<\/p>\n

Therefore, Onion has a greater mass than apple.<\/p>\n

In 25 and 26, use the given information and the picture.<\/p>\n

\"Envision<\/p>\n

enVision\u00ae STEM<\/strong> If a man weighs 198 pounds on Earth, his mass on Earth is 90 kilograms.<\/p>\n

Question 25.
\nWhat is this man’s weight on the Moon?
\nAnswer:<\/p>\n

Given,<\/p>\n

The weight of the person on the moon is 1\/6 weight on earth.<\/p>\n

Also given, the mass on earth = 90 kgs<\/p>\n

The weight of man’s weight on the moon =<\/p>\n

90\/6 =15 or 14.9 approx.<\/p>\n

Question 26.
\nWhat is his mass in grams?
\nAnswer:<\/p>\n

1 kg = 1000 grams.<\/p>\n

15 kg = 15000 grams<\/p>\n

Assessment Practice<\/strong><\/p>\n

Question 27.
\nWrite the following masses on the lines from least to greatest.
\n\"Envision
\nAnswer:<\/p>\n

5000 mg > 500 g > 50 kg<\/p>\n

Question 28.
\nIf you convert grams to milligrams, what operation would you use?
\nA. Addition
\nB. Subtraction
\nC. Multiplication
\nD. Division
\nAnswer:<\/p>\n

Multiplication.<\/p>\n

Lesson 12.7 Convert Units of Time<\/h3>\n

Activity<\/strong><\/p>\n

Solve&Share<\/strong>
\nEmily played softball all weekend. She was wondering the difference in time between the shortest game and the longest game. Can you help her figure it out?
\n\"Envision<\/p>\n

\"Envision<\/p>\n

Select a common unit of time to help compare game times.
\n\"Envision<\/p>\n

Look Back! Make Sense and Persevere<\/strong> Mateo saw a professional baseball game, which lasted 2\\(\\frac{1}{2}\\) hours. How many minutes longer was the professional game than Emily’s Game 3? Explain.<\/p>\n

Visual Learning Bridge<\/strong><\/p>\n

Essential Question<\/strong> How Do You Solve Problems that Involve Different Units of Time?<\/p>\n

A.<\/strong>
\nKendall’s family is driving to the theater to see a 2-hour movie. Kendall notices this sign at the parking lot closest to the theater. Do you think they should park there?<\/p>\n

You can convert one of these times so you are comparing like units.
\n\"Envision<\/p>\n

B.<\/strong>
\nOne Way:<\/strong>
\nConvert 2 hours to minutes. Then compare.
\nTo change from larger units to smaller units, multiply.<\/p>\n

Remember, 1 hour equals 60 minutes.
\n\"Envision<\/p>\n

2 \u00d7 60 minutes = 120 minutes
\n120 minutes > 90 minutes, so Kendall’s family should not park in that lot.<\/p>\n

C.<\/strong>
\nAnother Way:<\/strong>
\nConvert 90 minutes to hours. Then compare.
\nTo change from smaller units to larger units, divide.
\n90 \u00f7 60 = \\(\\frac{90}{60}\\) = 1\\(\\frac{1}{2}\\) hours
\n1\\(\\frac{1}{2}\\) hours < 2 hours, so Kendall’s family should not park in that lot.<\/p>\n

Convince Me! Make Sense and Persevere<\/strong> explain how to convert 4 hours, 15 minutes to minutes.<\/p>\n

Another example!<\/strong>
\nThere is often more than one way to show converted units of time. Find the missing numbers.
\nDivide. Write the quotient with a remainder.
\n210 \u00f7 60 = 3 R 30
\nSo, 210 seconds = 3 minutes, 30 seconds<\/p>\n

Remember, 1 minute equals 60 seconds.
\n\"Envision<\/p>\n

210 seconds = ___ minutes
\nDivide. Write the quotient as a mixed number.
\n\\(\\frac{210}{60}\\) = 3\\(\\frac{30}{60}\\) = 3\\(\\frac{1}{2}\\)
\nSo, 210 seconds = 3\\(\\frac{1}{2}\\) minutes<\/p>\n

Guided Practices<\/strong><\/p>\n

Do You Understand?<\/strong><\/p>\n

Question 1.
\nWhich is the longest time: 5 minutes, 25 seconds, or 315 seconds? Explain.
\nAnswer:<\/p>\n

5 hours 25 seconds<\/p>\n

Explanation :<\/p>\n

1 minute = 60 seconds<\/p>\n

So, 5 minutes = 300 seconds<\/p>\n

Now, 300 +25 = 325 seconds<\/p>\n

Therefore, 325 seconds is longer than 315<\/p>\n

Question 2.
\nHow many minutes are in a quarter-hour? How do you know?
\nAnswer:<\/p>\n

Quarter hour = 15 minutes<\/p>\n

We know that 15 minutes = quarter.<\/p>\n

Do You Know How?<\/strong><\/p>\n

In 3-6, convert each time.<\/p>\n

Question 3.
\n240 seconds = ___ minutes
\nAnswer:<\/p>\n

4 Minutes.<\/p>\n

Question 4.
\n2 hours, 18 minutes = ___ minutes
\nAnswer:<\/p>\n

120 + 18<\/p>\n

138 minutes<\/p>\n

Question 5.
\n4\\(\\frac{1}{2}\\) minutes ___ seconds
\nAnswer:<\/p>\n

4 minutes = 4 x 60 = 240 seconds<\/p>\n

1\/2 minute = 30 seconds<\/p>\n

Now, 240 + 30 = 270 Seconds<\/p>\n

Therefore, 4 1\/2 Minute = 270 seconds.<\/p>\n

Question 6.
\n80 minutes = ___ Seconds<\/p>\n

Answer:<\/p>\n

1 minute = 60 seconds<\/p>\n

80 minutes = 80 x 60 = 480 seconds.<\/p>\n

Independent Practice<\/strong><\/p>\n

In 7-10, convert each time.<\/p>\n

Question 7.
\n6 hours = ___ minutes
\nAnswer:<\/p>\n

1 hour = 60 minutes<\/p>\n

So, 6 hours = 6 x 60 =<\/p>\n

= 360 minutes.<\/p>\n

Question 8.
\n390 seconds = ___ minutes
\nAnswer:<\/p>\n

60 seconds = 1 minute<\/p>\n

Now, 360 seconds = 6 minutes<\/p>\n

30 seconds = 1\/2 minute<\/p>\n

390 seconds = 6 1\/2 minutes.<\/p>\n

Question 9.
\n208 minutes = ___hours, ___ minutes
\nAnswer:<\/p>\n

1 hour = 60 minutes<\/p>\n

3 hours = 180 minutes And<\/p>\n

208 – 180 = 28 minutes<\/p>\n

Therefore, 208 minutes = 3 hours 28 minutes.<\/p>\n

Question 10.
\n7 minutes, 12 seconds = ___ seconds<\/p>\n

Answer:<\/p>\n

1 minute = 60 seconds<\/p>\n

7 minutes = 7 x 60 = 420 seconds<\/p>\n

420 + 12 = 432 seconds .<\/p>\n

Therefore, 7 minutes, 12 seconds = 432 seconds<\/p>\n

In 11-12, compare. Write >, <, or = for each<\/p>\n

Question 11.
\n330 minutes \"Envision 7.5 hours
\nAnswer:<\/p>\n

330 minutes\u00a0 <\u00a07.5 hours<\/p>\n

Question 12.
\n45 minutes \"Envision \\(\\frac{3}{4}\\) hour
\nAnswer:<\/p>\n

45 minutes\u00a0 = 3\/4 \u00a0hour<\/p>\n

Problem Solving<\/strong><\/p>\n

Question 13.
\nBrock spends 15 minutes walking to school and 15 minutes walking home each day. By the end of the school week (5 days) how many hours has Brock spent traveling between home and school?
\nAnswer:<\/p>\n

Given,<\/p>\n

Brock spends 15 minutes walking to school<\/p>\n

15 minutes walking home<\/p>\n

Total = 15 + 15<\/p>\n

= 30<\/p>\n

Number of days = 5<\/p>\n

Now, 5 x 30 = 150 minutes<\/p>\n

1 hour = 60 minutes<\/p>\n

150 minutes = 2.5 hours<\/p>\n

Therefore, Brock spent 2.5 hours traveling between home and school<\/p>\n

Question 14.
\nA television station shows commercials for 7\\(\\frac{1}{2}\\) minutes each hour. How many 45-second commercials can it show per hour?
\nAnswer:<\/p>\n

1 minute\u00a0 = 60 seconds<\/p>\n

7 minutes = 60 x 7 = 420 seconds<\/p>\n

420 + 30 = 450<\/p>\n

450\/45 = 10<\/p>\n

Therefore, 10 45 second commercials it can show per hour.<\/p>\n

Question 15.
\nLeslie is making these two recipes. Which takes longer to make, the strawberry bread or the spaghetti sauce? How many minutes longer?
\n\"Envision
\nAnswer:<\/p>\n

The time is taken to prepare spaghetti sauce is 1 hour 40 minutes<\/p>\n

Also, the time taken to prepare strawberry bread is 1 hour 15 minutes<\/p>\n

Therefore spaghetti sauce takes longer<\/p>\n

Now,<\/p>\n

1 hour 40 minutes – 1 hour 15 minutes<\/p>\n

= 25 minutes<\/p>\n

spaghetti sauce takes 25 minutes longer than strawberry bread.<\/p>\n

Question 16.
\nCritique Reasoning<\/strong> The school day is 6 hours, 15 minutes long. Jenna says that it’s 6\\(\\frac{1}{4}\\) hours. Henry says it’s 6.25 hours. Can they both be correct? Explain.
\nAnswer:<\/p>\n

Jenna is correct.<\/p>\n

Given, the time of the school day = 6 hours 15 minutes long<\/p>\n

1 hour = 60 minutes<\/p>\n

1\/4 hour = 15 minutes and 6 hours<\/p>\n

Total: 6 1\/4 hour<\/p>\n

6.25 hours means 25 minutes more<\/p>\n

But the school day is only 15 minutes long<\/p>\n

Therefore, Jenna is correct.<\/p>\n

Question 17.
\nHigher-Order Thinking<\/strong> How many seconds are there in 1 hour? In 10 hours? Explain.
\nAnswer:<\/p>\n

1 hour = 60 minutes<\/p>\n

1 minute = 60 seconds<\/p>\n

60 minutes = 60 x 60 = 3600 seconds<\/p>\n

10 hours = 10 x 60 = 600 minutes<\/p>\n

600 minutes = 600 x 600 = 36000 seconds.<\/p>\n

Assessment Practice<\/strong><\/p>\n

Question 18.
\nThree hikers reported how long it took to hike a trail. Write the names of the hikers from fastest to slowest.
\n___ ____ _____
\n\"Envision
\nAnswer:<\/p>\n

Anita – First – 70 minutes<\/p>\n

Brad – second – 75 minutes<\/p>\n

Sanjay – Third – 90 minutes<\/p>\n

Lesson 12.8 Solve Word Problems Using Measurement Conversions<\/h3>\n

Activity<\/strong><\/p>\n

Solve&Share<\/strong>
\nAmy wants to frame a poster that has a width of 8 inches and a length of 1 foot. What is the perimeter of the poster? Solve this problem any way you choose.<\/p>\n

Make Sense and Persevere<\/strong>
\nYou can use measurement conversions in real-world situations. Show your work!
\n\"Envision<\/p>\n

Look Back!<\/strong> Which measurement did you convert? Can you find the perimeter by converting to the other unit of measurement?<\/p>\n

Visual Learning Bridge<\/strong><\/p>\n

Essential Question<\/strong> How Can You Convert Units of Session Measurement to Solve a Problem?<\/p>\n

A.<\/strong>
\nA city pool is in the shape of a rectangle with the dimensions shown. What is the perimeter of the pool?<\/p>\n

You can convert one of the measures so that you are adding like units.
\n\"Envision<\/p>\n

B.<\/strong>
\nWhat do you know?
\nThe dimensions of the pool:
\nl = 25 yards
\nw = 60 feet
\nWhat are you asked to find?
\nThe perimeter of the pool<\/p>\n

You can use feet for perimeter.
\n\"Envision<\/p>\n

C.<\/strong>
\nConvert 25 yards to feet so you can add like units.
\n1 yard = 3 feet
\nTo change from larger units to smaller units, multiply.
\n25 \u00d7 3 feet = 75 feet
\nSo, 25 yards = 75 feet.<\/p>\n

D.
\nSubstitute like measurements into the perimeter formula.
\nPerimeter = (2 \u00d7 length) + (2 \u00d7 width)
\nP = (2 \u00d7 l) + (2 \u00d7 w)
\nP = (2 \u00d7 75) + (2 \u00d7 60)
\nP = 150 + 120
\nP = 270 feet
\nThe perimeter of the pool is 270 feet.<\/p>\n

Convince Me! Be Precise<\/strong> If the width of the pool is increased by 3 feet, what would be the new perimeter of the pool? Explain.<\/p>\n

length = 75 feet<\/p>\n

width = 63 feet<\/p>\n

Perimeter = 2 ( l+b)<\/p>\n

2 (75+63)<\/p>\n

2 ( 138 )<\/p>\n

= 276 feet.<\/p>\n

Guided Practice<\/strong><\/p>\n

Do You Understand?<\/strong><\/p>\n

Question 1.
\nIn the example on the previous page, how could you find the perimeter by converting all measurements to yards?
\nAnswer:<\/p>\n

75 feet = 25 yards<\/p>\n

60 feet = 20 yards<\/p>\n

perimeter = 2 ( 25 + 20 )<\/p>\n

= 2 ( 45)<\/p>\n

perimeter = 90 feet<\/p>\n

Question 2.
\nWrite a real-world multiple-step problem that involves measurement.
\nAnswer:<\/p>\n

Multiple-step problem :<\/p>\n

Robert had 16 marbles.\u00a0His brother gave him 3 more bags of marbles.\u00a0If each bag contained 5 marbles, how many marbles does Robert have now?<\/p>\n

Do You Know How?<\/strong><\/p>\n

Question 3.
\nStacia needs enough ribbon to wrap around the length (l) and height (h) of a box. If the length is 2 feet and the height is 4 inches, how much ribbon will she need?
\n\"Envision
\nAnswer:<\/p>\n

Given length = 2 feet<\/p>\n

And height = 4 inches<\/p>\n

Perimeter = 2 (l+b)<\/p>\n

= 2 ( 2 + 4)<\/p>\n

= 2 (6)<\/p>\n

= 12 feet<\/p>\n

1 feet = 12 inches<\/p>\n

Now, 12 feet = 12 x 12<\/p>\n

= 144 inches.<\/p>\n

Question 4.
\nIf ribbon is sold in whole number yards and costs $1.50 per yard, how much will it cost Stacia to buy the ribbon?
\nAnswer:<\/p>\n

144 x $1.05<\/p>\n

= 151.2<\/p>\n

Therefore it costs approx $151 to buy the ribbon.<\/p>\n

Independent Practice<\/strong><\/p>\n

In 5-7, use conversions to solve each problem.<\/p>\n

Edging means she will put bricks around the perimeter of the hexagon.
\n\"Envision<\/p>\n

Question 5.
\nBecca wants to edge her hexagonal garden with brick. All sides are equal. The brick costs $6 per yard. What is the perimeter of the garden? How much will it cost to buy the edging she needs?
\nAnswer:<\/p>\n

The perimeter of the hexagon =<\/p>\n

Number of sides = 6<\/p>\n

Now, 12 x 6 = 72 feet<\/p>\n

The perimeter of hexagon = 72 feet or 24 yards<\/p>\n

Given, the cost of the brick = $6<\/p>\n

Now, 24 x $6<\/p>\n

= $144<\/p>\n

Therefore, it costs $144 to buy the edging.<\/p>\n

Question 6.
\nIsaac buys milk to make milkshakes for his friends. He buys 1 quart of milk and \\(\\frac{1}{2}\\) gallon of milk. How many cups of milk does he buy?
\nAnswer:<\/p>\n

1 quart = 4 cups<\/p>\n

1\/2 gallon = 8 cups<\/p>\n

Total = 4 + 8<\/p>\n

= 12 cups<\/p>\n

Therefore, he bought 12 cups of milk.<\/p>\n

Question 7.
\nMaggie buys 1\\(\\frac{1}{2}\\) pounds of walnuts, 8 ounces of pecans, and pound of almonds. How much do the nuts weigh in all?
\nAnswer:<\/p>\n

1 1\/2 pounds of walnuts = 24 ounces<\/p>\n

8 ounces of pecans<\/p>\n

1 pound of walnuts = 16 ounces<\/p>\n

Total : 24 + 8 + 16<\/p>\n

= 48 ounces<\/p>\n

Therefore, the nuts weigh 48 ounces<\/p>\n

Problem Solving<\/strong><\/p>\n

Question 8.
\nReasoning Matt’s family is thinking about buying a family pass to the city pool. The pass is $80 for a family of 4. Individual passes are $25 each. How much money can Matt’s family save by purchasing a family pass instead of 4 individual passes?
\nAnswer:<\/p>\n

Given, the amount of family pass = $80<\/p>\n

Also given, the price of an individual pass = $25<\/p>\n

Total number of family members = 4<\/p>\n

Now, $25 x 4<\/p>\n

= $100<\/p>\n

So, $100 – $80<\/p>\n

=$20<\/p>\n

Therefore, Matt’s family saves $20 by purchasing a family pass instead of 4 individual passes<\/p>\n

\"Convert<\/p>\n

Question 9.
\nMarcia walked 900 meters on Friday. On Saturday, she walked 4 kilometers. On Sunday, she walked 3 kilometers, 600 meters. How many kilometers did Marcia walk over all three days?
\nAnswer:<\/p>\n

Given,<\/p>\n

On Monday she walked 900 meters<\/p>\n

On Tuesday she walked 4 kilometers<\/p>\n

1 km = 1000 m<\/p>\n

4 km = 4000 m<\/p>\n

On Sunday, she walked 3 km,600 m<\/p>\n

3 km =3000 m + 600 m<\/p>\n

= 3600 m<\/p>\n

Total : 900 + 4000 + 3600<\/p>\n

= 8500 meters.<\/p>\n

8500 meters = 8.5 kilometers<\/p>\n

Therefore, Marica walked 8.5 kilometers.<\/p>\n

Question 10.
\nHigher-Order Thinking<\/p>\n

Raul wants to put wood shavings in his rabbit’s cage. The floor of the cage measures 1 yard wide by 5 feet long. One bag of shavings covers 10 square feet. How many bags will Raul have to buy to cover the floor of the cage? Explain.
\nAnswer:<\/p>\n

1.5 bags<\/p>\n

Explanation:<\/p>\n

Width = 1 yard = 3 feet<\/p>\n

Length = 5 feet<\/p>\n

Area of the floor = 5ft \u00d7 3ft = 15sqft<\/p>\n

1 bag = 10sqft<\/p>\n

x bag = 15sqft<\/p>\n

x bags = (15 \u00d7 1)\/10<\/p>\n

= 1.5 bags<\/p>\n

Therefore, Raul needs 1.5 bags.<\/span><\/p>\n

Question 11.
\nCheryl’s fish tank is 2 yards long by 24 inches wide by 3 feet high. What is the volume of Cheryl’s tank in cubic inches?
\n\"Envision
\nAnswer:<\/p>\n

Given,<\/p>\n

length = 2 yards<\/p>\n

2 yards = 72 inches<\/p>\n

wide = 24 inches<\/p>\n

Height = 3 feet<\/p>\n

3 feet = 36 inches<\/p>\n

Volume of the tank = length x width x height<\/p>\n

Question 12.
\nSome statistics about a typical adult Royal antelope are shown in the data table.
\na What is a typical Royal antelope’s tail length in millimeters?
\nb. How many centimeters high can a typical Royal antelope jump?
\nc. What is the mass of a typical Royal antelope in grams?
\n\"Envision
\nAnswer:<\/p>\n

a.<\/p>\n

Given,<\/p>\n

tail length =\u00a0 6 cm<\/p>\n

1 cm = 10 mm<\/p>\n

6 cm = 6 x 10 = 60 mm<\/p>\n

b.<\/p>\n

Given, vertical leap = 2 meters<\/p>\n

1 m = 1000 cm<\/p>\n

Now, 2 meters = 2 x 1000 = 2000 cm<\/p>\n

Therefore, it can jump 2000 cm<\/p>\n

c.<\/p>\n

2.4 kg = mass of antelope<\/p>\n

1 kg = 1000 grams<\/p>\n

2.4 kg = 2000 + 400<\/p>\n

= 2400 grams.<\/p>\n

Therefore, the mass of a typical Royal antelope in grams= 2400 grams<\/p>\n

Assessment Practice<\/strong><\/p>\n

Question 13.
\nJoann wants to put a wallpaper border around her room. The border costs $3 per foot. The diagram shows Joann’s room. How much money will the border cost?
\nA. $120
\nB. $102
\nC. $84
\nD. $60
\n\"Envision
\nAnswer:<\/p>\n

Given,<\/p>\n

The cost of border per foot = $3<\/p>\n

Now, 11 x 3 = $33<\/p>\n

3 yards = 9 feet<\/p>\n

9 feet = 9 x 3 = $27<\/p>\n

Total : $33 + $27<\/p>\n

= $60<\/p>\n

The border cost $60.<\/p>\n

Lesson 12.9 Precision<\/h3>\n

Problem Solving<\/strong><\/p>\n

Solve & Share<\/strong>
\nBeth wants to make a picture frame like the one pictured below. She recorded the outside dimensions as 5 cm by 7 cm. Measure the outside dimensions of the frame in millimeters. Compare your measurements to Beth’s. Do you think her measurements are precise enough? Explain.<\/p>\n

\"Envision<\/p>\n

Thinking Habits<\/strong>
\nThink about these questions to help you attend to precision.
\n\u2022 Am I using numbers, units, and symbols appropriately?
\n\u2022 Am I using the correct definitions?
\n\u2022 Am I calculating accurately?
\n\u2022 Is my answer clear?
\n\"Envision<\/p>\n

Look Back! Be Precise<\/strong> What is the difference between the perimeter based on the measurements Beth made and the perimeter based on the measurements you made? Explain how you found the answer.<\/p>\n

Visual Learning Bridge<\/strong><\/p>\n

Essential Question<\/strong> How Can You Be Precise When Solving Math Problems?<\/p>\n

A.<\/strong>
\nChad and Rhoda are hanging a swing. Chad cut a piece of chain 6 feet 2 inches long. Rhoda cut a piece of chain 72 inches long. When they hung the swing, it was crooked.
\nUse precise language to explain why.
\n\"Envision
\nBe Precise means that you use appropriate math words, symbols, and units as well as accurate calculations when you solve problems.
\n\"Envision<\/p>\n

B.<\/strong>
\nHow can I be precise in solving this problem?
\nI can
\n\u2022 calculate accurately.
\n\u2022 give a clear answer.
\n\u2022 use the correct units.<\/p>\n

Here’s my thinking.
\n\"Envision<\/p>\n

C.<\/strong>
\nConvert 6 ft 2 inches to inches to see if Chad and Rhoda cut equal lengths of chain.
\n6 ft 2 in. = ___ in.
\n6 \u00d7 12 = 72, so 6ft = 72 in.
\n6 ft 2 in. = 72 +2 = 74 in.
\nChad’s chain is 74 inches long, but Rhoda’s chain is only 72 inches long. Since Chad and Rhoda used unequal lengths of chain, the swing is crooked.<\/p>\n

Convince Me! Be Precise<\/strong> What recommendations would you make to Chad and Rhoda so that the swing hangs level?<\/p>\n

Guided Practice<\/strong>
\nMary needs a board 4 feet 8 inches long. She cut a board 56 inches long.<\/p>\n

Remember to be precise by converting measurements accurately.
\n\"Envision<\/p>\n

Question 1.
\nWhat measurements are given? Are the same units used for each measurement? Explain.
\nAnswer: No<\/p>\n

The measurements are mentioned with different units.<\/p>\n

Question 2.
\nExplain how you can convert one of the measurements so that both use the same unit.
\nAnswer:<\/p>\n

4 feet 8 inches can be converted into 56 inches as<\/p>\n

1 foot = 12 inches<\/p>\n

Now, 4 feet = 4 x 12 = 48 inches<\/p>\n

48 + 8 = 56 inches.<\/p>\n

Question 3.
\nIs the board Mary cut the right length? Give a clear and appropriate answer.
\nAnswer:<\/p>\n

Yes, mary cut the right length.<\/p>\n

4 feet 8 inches can be shown as 56 inches<\/p>\n

Therefore, mary cut the right length.<\/p>\n

Independent Practice<\/strong><\/p>\n

Be Precise<\/strong>
\nSean is making meat loaf. He used the amount of catsup shown in the measuring cup.<\/p>\n

\"Envision<\/p>\n

Question 4.
\nAre the units that Sean used to measure the catsup s the same as those given in the recipe? Explain.
\nAnswer:<\/p>\n

No, the units that Sean used to measure the catsup s the same as those given in the recipe.<\/p>\n

Question 5.
\nHow can you convert one of the measurements so that both use the same unit?
\nAnswer:<\/p>\n

1 fl oz = 0.125 cups<\/p>\n

So, 6 fl oz = 0.75 cups.<\/p>\n

Question 6.
\nDid Sean use the right amount of catsup? Give a clear and appropriate answer.
\nAnswer:<\/p>\n

No,<\/p>\n

6 fl oz = 0.75 cups<\/p>\n

0.75 cups = 3\/4<\/p>\n

But sean used 2\/3 cup of catsup.<\/p>\n

Problem Solving<\/strong><\/p>\n

Performance Task<\/strong>
\nShipping a Package<\/strong>
\nA customer is using regular delivery to ship a package. Northside Shipping Company discovered that its old scale is not very accurate. It registers a weight that is 2 ounces too heavy. A new, accurate scale shows that the actual weight of the customer’s package is 2 pounds 11 ounces.
\n\"Envision<\/p>\n

Question 7.
\nMake Sense and Persevere<\/strong> Which information do you need to determine the total shipping cost using either scale?
\nAnswer:<\/p>\n

We need the weight of the package and delivery charges to the total shipping cost using either scale<\/p>\n

Question 8
\nBe Precise<\/strong> Why do you need to convert measurements to determine total shipping costs?
\nAnswer:<\/p>\n

Because To make the answer accurate we have to convert the measurements.<\/p>\n

To be precise, you need to check that the words, numbers, symbols, and units you use are correct and that your calculations are accurate.
\n\"Envision<\/p>\n

Question 9.
\nModel with Math<\/strong> Show how to convert the measurements you described in exercise 8.
\nAnswer:<\/p>\n

1 pound =16 ounces.<\/p>\n

2 pounds 11 ounces = 43 ounces.<\/p>\n

Question 10.
\nBe Precise<\/strong> What would the total cost be if the package is weighed on the new scale? What would the total cost be if the package is weighed on the old scale? Show your work.
\nAnswer:<\/p>\n

The weight on the new scale = $ 25. 95<\/p>\n

The weight on the old scale = $27.15<\/p>\n

Topic 12 Fluency Practice<\/h3>\n

Activity<\/strong><\/p>\n

Point&Tally<\/strong><\/p>\n

Find a partner. Get paper and a pencil. Each partner chooses light blue or dark blue.
\nAt the same time, Partner 1 and Partner 2 each point to one of their black numbers. Both partners find the product of the two numbers.
\nThe partner who chose the color where the product appears gets a tally mark. Work until one partner has seven tally marks.
\n\"Envision<\/p>\n

\"Envision<\/p>\n

Topic 12 Vocabulary Review<\/strong><\/p>\n

Glossary<\/strong><\/p>\n

Word List<\/strong><\/p>\n

\u2022 capacity
\n\u2022 centimeter
\n\u2022 cup
\n\u2022 fluid ounce
\n\u2022 foot
\n\u2022 gallon
\n\u2022 gram
\n\u2022 inch
\n\u2022 kilogram
\n\u2022 kilometer
\n\u2022 liter
\n\u2022 mass
\n\u2022 meter
\n\u2022 mile
\n\u2022 milligram
\n\u2022 milliliter
\n\u2022 millimeter
\n\u2022 ounce
\n\u2022 pint
\n\u2022 pound
\n\u2022 quart
\n\u2022 ton
\n\u2022 weight
\n\u2022 yard<\/p>\n

Understand Vocabulary<\/strong><\/p>\n

Choose the best term from the Word List. Write it on the blank.<\/p>\n

Question 1.
\nOne ___ is equivalent to twelve ___
\nAnswer:<\/p>\n

one foot is equivalent to 12 inches<\/p>\n

Question 2.
\nThe measure of the amount of matter in an object is known as ___
\nAnswer: Mass<\/p>\n

Question 3.
\nThe volume of a container measured in liquid units is its ____
\nAnswer: liters<\/p>\n

Question 4.
\nThere are 1,000 meters in one ____
\nAnswer: kilometer<\/p>\n

Question 5.
\nFinding how light or how heavy an object is means measuring its _____
\nAnswer: Weight<\/p>\n

Question 6.
\nThere are 2 cups in one _____<\/p>\n

Answer: Pint<\/p>\n

For each of these objects, give an example and a non-example of a unit of measure that could be used to describe it.<\/p>\n

\"Envision<\/p>\n

Milk is measured in liters<\/p>\n

person’s height is measured in feet<\/p>\n

shoe’s length is measured in centimeters or inches<\/p>\n

Use Vocabulary in Writing<\/strong><\/p>\n

Question 10.
\nExplain the relationship among the metric units of mass in the Word List.
\nAnswer:<\/p>\n

Length = meter, kilometer<\/p>\n

Mass = gram, kilogram<\/p>\n

volume = liter, milliliter.<\/p>\n

Topic 12 Reteaching<\/h3>\n

Set A<\/strong>
\npages 489-492, 517-520<\/p>\n

Convert 3 yards to inches.
\n1 foot (ft) = 12 inches (in.)
\n1 yard (yd) = 3 ft = 36 in.
\n1 mile (mi) = 1,760 yd = 5,280 ft
\n1 yard = 36 inches. To change larger units to smaller units, multiply: 3 \u00d7 36 = 108.
\nSo, 3 yards = 108 inches.<\/p>\n

Remember<\/strong> to divide when changing smaller units to larger units.
\nConvert.<\/p>\n

Question 1.
\n7 ft = ___ in.
\nAnswer: 84 in<\/p>\n

Question 2.
\n7,920 ft = ___ mi
\nAnswer: 1 1\/2 mi<\/p>\n

Question 3.
\nMax wants to put a fence around his triangular garden. If each side is 6 yards, how many feet of fencing does Max need?
\nAnswer:<\/p>\n

Given, the side of the triangle = 6 yards<\/p>\n

Perimeter = 6 x 6 x 6<\/p>\n

= 18 yards<\/p>\n

1yd\/3 ft x 18\/18<\/p>\n

Now, 18\/ 54<\/p>\n

Therefore, Max have 54 feet of fencing.<\/p>\n

Set B<\/strong>
\npages 493-496
\nConvert 16 cups to pints.
\n2 cups = 1 pint. To change smaller units to larger units, divide: 16 \u00f7 2 = 8.
\nSo, 16 cups = 8 pints.<\/p>\n

Remember<\/strong> that 1 gal = 4 qt, 1 qt = 2 pt, 1 pt = 2 c, and 1 c= 8 fl oz.<\/p>\n

Convert.<\/p>\n

Question 1.
\n36C = ___ gal
\nAnswer: 2.25 gal<\/p>\n

Question 2.
\n7 pt = __qt
\nAnswer: 3.5 qt<\/p>\n

Question 3.
\n1\\(\\frac{1}{2}[latex] gal = ___ fl oz
\nAnswer:<\/p>\n

1 1\/2 gal = 192 fl oz<\/p>\n

Question 4.
\n6 pt = ___ c
\nAnswer:<\/p>\n

1 pt = 2 cups<\/p>\n

So, 6 pt = 6 x 2 = 12 cups.<\/p>\n

Set C<\/strong>
\npages 497-500
\nConvert 6 pounds to ounces. 1 pound = 16 ounces. To change larger units to smaller units, multiply: 6 \u00d7 16 = 96.
\nSo, 6 pounds = 96 ounces.<\/p>\n

Remember<\/strong> that 2,000 pounds = 1 ton.<\/p>\n

Convert.<\/p>\n

Question 1.
\n2[latex]\\frac{3}{4}\\) lb = __oz
\nAnswer: 44 oz<\/p>\n

Question 2.
\n56 oz = __ lb
\nAnswer: 3 1\/2 lb<\/p>\n

Question 3.
\n4,000 lb = ___ T
\nAnswer: 2 T<\/p>\n

Question 4.
\n6\\(\\frac{1}{2}\\)T = __ lb<\/p>\n

Answer: 13,000 lb<\/p>\n

Set D<\/strong>
\npages 501-504
\nConvert 2 meters to centimeters.
\n1 km = 1,000 m
\n1 m= 100 cm
\n1 m = 1,000 mm
\n1 cm = 10 mm
\n1 meter = 100 centimeters. To change larger units to smaller units, multiply: 2 \u00d7 100 = 200.
\nSo, 2 meters = 200 centimeters.<\/p>\n

Remember<\/strong> to multiply or divide by a power of 10 to convert metric measurements.<\/p>\n

Convert.<\/p>\n

Question 1.
\n5.4 m = ___ cm
\nAnswer: 540 cm<\/p>\n

Question 2.
\n2.7 km = ___ m
\nAnswer: 2700 m<\/p>\n

Question 3.
\n0.02 km = __ cm
\nAnswer: 20000 cm<\/p>\n

Question 4.
\n0.025 m = ___ mm
\nAnswer: 25mm<\/p>\n

Question 5.
\n675 mm = ___ m
\nAnswer: 0.675m<\/p>\n

Question 6.
\n7,435 cm = ___ m
\nAnswer: 74.35 m<\/p>\n

Set E<\/strong>
\npages 505-508
\nConvert 6,000 milliliters to liters.
\n1,000 milliliters = 1 liter. To change milliliters to larger units, divide: 6,000 \u00f7 1,000 = 6.
\nSo, 6,000 milliliters = 6 liters.<\/p>\n

Remember<\/strong> that the most commonly used metric units of capacity are the liter and milliliter.<\/p>\n

Convert.<\/p>\n

Question 1.
\n6L = ___ mL
\nAnswer: 6000<\/p>\n

Question 2.
\n0.15 L = ___mL
\nAnswer: 150<\/p>\n

Question 3.
\n2,000 mL = __ L
\nAnswer:\u00a0 2<\/p>\n

Question 4.
\n900 mL = ___ L
\nAnswer: 9<\/p>\n

Set F<\/strong>
\npages 509-512
\nConvert 6 kilograms (kg) to grams (g).
\n1 kilogram = 1,000 grams. To change larger units to smaller units, multiply:
\n6 \u00d7 1,000 = 6,000.
\nSo, 6 kg = 6,000 g.<\/p>\n

Remember<\/strong> that to convert metric units, you can annex zeros and move the decimal point.<\/p>\n

Convert.<\/p>\n

Question 1.
\n30 kg = ___ g
\nAnswer: 30000<\/p>\n

Question 2.
\n3,000 mg = ___ g
\nAnswer:\u00a0 3<\/p>\n

Question 3.
\n560 g = ___ kg
\nAnswer: 56<\/p>\n

Question 4.
\n0.17g = __mg
\nAnswer: 170<\/p>\n

Set G<\/strong>
\npages 513-516
\nThe choir concert is scheduled to last 90 minutes. The band concert is scheduled from 7:00-8:45. Which concert is scheduled to be longer? By how many minutes?
\nThe choir concert will last 90 minutes = 1 hour, 30 minutes. The band concert will last 1 hour, 45 minutes. The band concert will be 15 minutes longer.<\/p>\n

Remember<\/strong> to check if the units in the problem are the same.<\/p>\n

Convert.<\/p>\n

Question 1.
\n8 minutes = ___ seconds
\nAnswer:<\/p>\n

1 minute = 60 seconds<\/p>\n

8 minutes = 8 x 60 = 480 seconds<\/p>\n

Question 2.
\n86 minutes = ___ hour, ___ minutes
\nAnswer:<\/p>\n

1 hour = 60 minutes<\/p>\n

86 minutes = 1 hour 26 minutes<\/p>\n

Question 3.
\nA movie starts at 7:10 and ends at 9:03. How long does the movie last? __ hour, ___ minutes
\nAnswer:<\/p>\n

The movie lasts 1 hour 53 minutes<\/p>\n

Set H<\/strong>
\npages 521-524
\nThink about these questions to help you be precise in your work.<\/p>\n

Thinking Habits<\/strong>
\n\u2022 Am I using numbers, units, and symbols appropriately?
\n\u2022 Am I using the correct definitions?
\n\u2022 Am I calculating accurately?
\n\u2022 Is my answer clear?
\n\"Envision<\/p>\n

Remember<\/strong> that the problem might have more than one step.<\/p>\n

Solve. Show your work.<\/p>\n

Question 1.
\nMonica bought a 40-pound bag of dog food. Twice a day, she gives her dog 6 ounces of food. How many pounds of dog food will she use in 1 week? Explain.
\nAnswer:<\/p>\n

Given, The amount of dog food Monica bought = 40 pounds<\/p>\n

40 pounds = 640 ounces<\/p>\n

The amount of food Monica gives dog = 6 ounces<\/p>\n

Twice = 6 x 2 = 12 oz<\/p>\n

In one week = 12 x 7 = 84 oz<\/p>\n

Therefore, Monica gives 84 oz of dog food will she use in 1 week<\/p>\n

Topic 12 Assessment Practice<\/h3>\n

Question 1.
\nWhich of the following are equivalent to 7 grams? Select all that apply.
\n\"Envision 0.007 kilogram
\n\"Envision 70 milligrams
\n\"Envision 7,000 kilograms
\n\"Envision 7,000 milligrams
\n\"Envision 0.007 milligram
\nAnswer:<\/p>\n

0.007 kilogram<\/p>\n

7,000 milligrams<\/p>\n

Question 2.
\nJustin’s garden is shown below.
\n\"Envision
\nA. How can you convert the dimensions of Justin’s garden from yards to inches?
\nB. What is the perimeter of Justin’s garden in inches?
\nAnswer:<\/p>\n

A.<\/p>\n

Given, Length = 8 yards<\/p>\n

8 yards = 8 x 36 = 288 inches<\/p>\n

6 yards = 6 x 36 = 216 inches.<\/p>\n

B.<\/p>\n

Perimeter = length x width<\/p>\n

288 x 216 = P<\/p>\n

62208 = Perimeter<\/p>\n

Therefore, The perimeter of Justin’s Garden = 62208\u00a0 inches.<\/p>\n

Question 3.
\nWhich of the following equations can be used to find how many kilograms are in 2,000 grams?
\nA. 1,000 \u00f7 2,000 = 0.5 kilogram
\nB. 2,000 \u00f7 1,000 = 2 kilograms
\nC. 2,000 \u00d7 1,000 = 2,000,000 kilograms
\nD. 2,000 \u00d7 100 = 200,000 kilograms
\nAnswer:<\/p>\n

2,000 \u00f7 1,000 = 2 kilograms<\/p>\n

Question 4.
\nA. 10 bales of cotton weigh approximately 5,000 pounds. How can you convert 5,000 pounds to tons?
\nB. Which comparison is true?
\nA. 5,000 pounds > 10,000 tons
\nB. 5,000 pounds = 3 tons
\nC. 5,000 pounds < 3 tons
\nD. 5,000 pounds > 3 tons
\nAnswer:<\/p>\n

A.<\/p>\n

1 pound = 0.0005 tons<\/p>\n

Now, 5000 pounds = 2.5 tons.<\/p>\n

B.<\/p>\n

5,000 pounds > 3 tons<\/p>\n

Question 5.
\nTyrell bought 4 liters of fruit punch for a party. He will serve the punch in glasses that can hold 200 milliliters. How many full glasses of fruit punch can he serve?
\nAnswer:<\/p>\n

1 litre = 1000 millilitres<\/p>\n

Now, 4 litres = 4000 milliliters.<\/p>\n

4000\/200 = 20<\/p>\n

Therefore, Tyrell can fill 20 glasses of fruit punch.<\/p>\n

Question 6.
\nSelect each equation that the number 103 will make true.
\n\"Envision ? km = 1 mm
\n\"Envision ? mm = 1 m
\n\"Envision ? cm = 1 m
\n\"Envision ?m = 1 km
\n\"Envision ? dm = 1 m
\nAnswer:<\/p>\n

1000000 km = 1 mm<\/p>\n

1000 mm = 1 m<\/p>\n

100 cm = 1 m<\/p>\n

1000 m = 1 km<\/p>\n

10 dm = 1m<\/p>\n

Question 7.
\nMatch each measurement on the left to its equivalent measurement.
\n\"Envision
\nAnswer:<\/p>\n

1 gallon = 4 quarts<\/p>\n

1 cup = 8 fl oz<\/p>\n

1 quart = 2 pints<\/p>\n

1 pint = 2 cups.<\/p>\n

Question 8.
\nSelect all lengths that are equal to 6 feet 12 inches.
\n\"Envision 3 yd 1 ft
\n\"Envision 7 ft
\n\"Envision 7 ft 2 in.
\n\"Envision 2 yd 1 ft
\n\"Envision 1 yd 4 ft
\nAnswer:<\/p>\n

a. 7 feet<\/p>\n

b. 2 yd 1 ft<\/p>\n

c. 1 yd 4 ft<\/p>\n

Question 9.
\nWrite and solve an equation to find how many milliliters are in 3.4 liters.
\nAnswer:<\/p>\n

1 liter = 1000 milliliters<\/p>\n

3.4 liters = 3400 milliliters.<\/p>\n

Question 10.
\nMason made 5 quarts of salsa. Which of the following can be used to find the number of cups of salsa Mason made?
\nA. 5 \u00d7 2 \u00d7 2
\nB. 5 \u00d7 4 \u00d7 4
\nC. 5 \u00f7 2 \u00f7 2
\nD. 5 \u00d7 4 \u00f7 2
\nAnswer:<\/p>\n

1 quart = 4 cups<\/p>\n

The answer is 5 x 2 x 2.<\/p>\n

Question 11.
\nAlicia bought 5 pounds of potting soil. She wants to put 10 ounces of soil in each flower pot.
\nA. How can she convert 5 pounds to ounces?
\nB. How many flower pots can she fill?
\nAnswer:<\/p>\n

A.<\/p>\n

1 pound = 16 ounces<\/p>\n

So, 5 pounds = 5 x 16 = 80 ounces<\/p>\n

B.<\/p>\n

Now, 80\/10 = 8<\/p>\n

Therefore, she can make 8 flower pots.<\/p>\n

Question 12.
\nThe tail of a Boeing 747 is 63 feet 8 inches tall. How many inches tall is the tail?
\nAnswer:<\/p>\n

Given,<\/p>\n

The length of tail = 63 feet<\/p>\n

1 feet = 12 inches<\/p>\n

Now, 63 x 12<\/p>\n

= 756<\/p>\n

Total = 756 + 8<\/p>\n

= 764 inches<\/p>\n

Question 13.
\nWrite and solve an equation to convert 0.38 meters to centimeters.
\nAnswer:<\/p>\n

1 meter = 100 centimeters<\/p>\n

Now, 0.38 meters = 38 cm.<\/p>\n

Topic 12 Performance Task<\/h3>\n

Orange Juice<\/strong>
\nHeidi sells freshly-squeezed orange juice in Heidi’s Orange Juice cups.<\/p>\n

Question 1.
\nUse the Information About Oranges. Answer the questions below to find how many pounds of oranges Heidi needs for her orange juice.
\nPart A<\/strong>
\nHow many oranges does Heidi need to make one large orange juice? Show your work.
\n\"Envision<\/p>\n

Part B<\/strong>
\nHow many pounds of oranges does Heidi need to make one large orange juice? Show your work.
\n\"Envision
\nAnswer:<\/p>\n

2.5 cups = 20 fluid ounces.<\/p>\n

20 fl oz = 1.5 pounds<\/p>\n

Question 2.
\nAnswer the following to find the area of Heidi’s Display Shelf.
\nPart A<\/strong>
\nWhat units can you use for the area? Explain.
\n\"Envision
\nPart B<\/strong>
\nWhat is the area of Heidi’s Display Shelf? Show your work.
\nAnswer:<\/p>\n

4 feet = 48 inches<\/p>\n

Area = length x width<\/p>\n

= 48 x 15<\/p>\n

= 720 sq. inches<\/p>\n

therefore, the area of hiedi’s shelf = 720 inches<\/p>\n

Question 3.
\nThe Orange Nutrition table shows nutrients in one medium-sized orange that weighs 5 ounces or 140 grams. All the nutrients in the orange are also in Heidi’s orange juice.
\n\"Envision
\nPart A<\/strong>
\nHow many grams of potassium are in one large cup of Heidi’s orange juice? Explain how you solved.<\/p>\n

Answer:<\/p>\n

Given,<\/p>\n

250 milligrams of potassium is there in the juice cup<\/p>\n

1 milligram = 0.001<\/p>\n

250 mg = 0.25 grams<\/p>\n

therefore, there are 0.25 grams of potassium in orange juice.<\/p>\n

Part B<\/strong>
\nHow many milligrams of fiber is in one large cup of Heidi’s orange juice? Use an exponent when you explain the computation you used to solve.
\nAnswer:<\/p>\n

1 gram = 1000 milligrams<\/p>\n

3.5 grams = 3500 milligrams<\/p>\n

Therefore, there is 3500 mg of fiber.<\/p>\n

Question 4.
\nHeidi also sells cartons of orange juice. Use the picture of Heidi’s Orange Juice Carton. Find the volume of the carton in cubic centimeters. Explain.
\n\"Envision
\nAnswer:<\/p>\n

The measurements of the carton are<\/p>\n

10 cm, 50 mm = 5 cm, 0.2 m = 20 cm<\/p>\n

Volume = l x w x h<\/p>\n

= 50 x 5 x 20<\/p>\n

= 500 Cubic centimeters<\/p>\n

therefore, volume = 500 cubic centimeters.<\/p>\n","protected":false},"excerpt":{"rendered":"

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