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Envision Math 5th Grade Textbook Answer Key Topic 1 Test Prep

Test Prep

Question 1.
About 885,000,000 people speak Mandarin Chinese, the most spoken language in the world. How is 885.0. 000 written in words? (1-1)
A. eight hundred million, eighty-five thousand
B. eight hundred eighty-five million
C. eight billion, eighty-five million
D. eight hundred eighty-five billion
Answer:

Question 2.
What is eight hundred twenty-five and ninety-two hundredths in standard form? (1-3)
A 825,092
B 825.92
C 825.902
D 825.092
Answer:

Question 3.
About 1,300,000,000 people ride the New York Subway System each year. What is the value of the 3 in 1.300.0. 000? (1-1)
A. Three hundred thousand
B. Three million
C. Three hundred million
D. Three billion
Anwser:

Question 4.
The circumference of a bowling ball must be less than 27.002 inches. Which of the following would be an acceptable circumference for a bowling ball? (1-4)
A. 27.02 inches
B. 27.2 inches
C. 27.004 inches
D. 27 inches
Answer:

Question 5.
In a recent year, the number of people who spoke Spanish in the U.S. was 28,100,000. Which of the following is another way to write this number? (1-1)
A. 20,000,000 + 8,000,000 + 10,000
B. 20,000,000 + 8,000,000 + 100,000
C. 2,000,000 + 8,000,000 + 100,000
D. 2,000,000 + 800,000 + 10,000
Answer:

Question 6.
The average daily temperatures in July of some cities in the U.S. are shown in the table. Which of the following lists the cities by temperature from the least to the greatest? (1-4)

A. Omaha, St. Louis, Albuquerque, Atlanta
B. Atlanta, St. Louis, Albuquerque, Omaha
C. Omaha, Atlanta, St. Louis, Albuquerque
D. Albuquerque, St. Louis, Omaha, Atlanta
Answer:

Question 7.
Lead melts at 327.46°C. What is the value of the 6 in 327.46°? (1-3)
A. 6 hundreds
B. 6 tenths
C. 6 hundredths
D. 6 thousandths
Answer:

Question 8.
Which of the following shows the numbers in order from least to greatest? (1-2)
A. 201,008 201,080 201,800
B. 201,080 201,800 201,008
C. 201,080 201,008 201,800
D. 201,008 201,800 201,080
Answer:

Question 9.
A certain machine part must be between 2.73 and 3.55 inches. Which number is greater than 2.73 and less than 3.55? (1-4)
A. 3.73
B. 3.6
C. 2.55
D. 2.75
Answer:

Question 10.
Which country listed in the table has the greatest number of cell phones? (1-2)

A. Mexico
B. South Korea
C. Spain
D. Turkey
Answer:

Question 11.
Which statement is true? (1-2)
A. 157,324,113 > 157,323,113
B. 157,324,113 < 157,323,113 C. 157,323,113 > 157,332,113
D. 157,332,113 < 157,324,113
Answer:

Question 12.
Which two decimals are equivalent to 2.5? (1-3)
A. 2.050 and 2.500
B. 2.50 and 2.500
C. 2.50 and 2.05
D. 2.005 and 2.500
Answer:

Question 13.
What part of the figure is shaded? (1-3)
A. 0.7
B. 0.70
C. 0.07
D. 0.007
Answer:

Question 14.
Lewis is drawing a family tree similar to the one shown. How many boxes would there be for five generations before Lewis? (1-5)

A. 10
B. 16
C. 20
D. 32
Answer:

Envision Math 5th Grade Textbook Answer Key Topic 1.3 Decimal Place Value

How can you represent decimals?
Jessie bought 2.568 pounds of horned melon. What are some different ways to show 2.568?

Another Example
What are equivalent decimals?

Equivalent decimals name the same amount. Name two other decimals equivalent to 1.4.
One and four tenths have 1 and 40 hundredths.
So 1.4 = 1.40.
One and four tenths have 1 and 400 thousandths.
So 1.4 = 1.400.
So 1.4 = 1.40 = 1.400.

Guided Practice*

Write the word form for each number and tell the value of the underlined digit.

Question 1.
4.737
Answer:

Question 2.
9.806
Answer:

Write each number in standard form.

Question 3.
6 + 0.6 + 0.03 + 0.007
Answer:

Question 4.
four and sixty-eight hundredths
Answer:

Write two decimals that are equivalent to the given decimal.

Question 5.
3.700
Answer:

Question 6.
5.60
Answer:

Do you understand?

Question 7.
Wrting to Explain The number 3.453 has two 3s. Why does each 3 have a different value?
Answer:

Question 8.
How do you read the decimal point in word form?
Answer:

Question 9.
José finished a race in 2.6 hours and Pavel finished the same race in 2.60 hours. Which runner finished the race first? Do you know HOW?
Answer:

Independent Practice

Question 10.
2.300
Answer:

Question 11.
9.027
Answer:

Question 12.
1.982
Answer:

Question 13.
6.17
Answer:

Write each number in standard form.

Question 14.
two and six hundred thousandths
Answer:

Question 15.
five and one hundred four thousandths
Answer:

Question 16.
3 + 0.3 + 0.009
Answer:

Question 17.
9 + 0.2 + 0.04
Answer:

Question 18.
7 + 0.6 + 0.05 + 0.007
Answer:

Write two decimals that are equivalent to the given decimal.

Question 19.
2.200
Answer:

Question 20.
8.1
Answer:

Question 21.
9.50
Answer:

Problem Solving

Question 22.
Writing to Explain Kay is buying juice at the market. She has $9 and each bottle of juice costs $2. Does she have enough money to buy 5 bottles of juice? Explain.
Answer:

Question 23.
Which point on the number line below best represents 0.368?

Answer:

Question 24.
The Borneo stick insect has a total length including legs, of 21.5 inches. Write 21.5 in word form.
Answer:

Question 25.
Worker leafcutter ants can measure 0.5 inches. Name two decimals that are equivalent to 0.5.
Answer:

Question 26.
Writing to Explain Why are 7.63 and 7.630 equivalent?
Answer:

Envision Math 5th Grade Textbook Answer Key Topic 1.2 Comparing and Ordering Whole Numbers

How can you compare and order whole numbers?
Which city has the greater population, Charlotte or Nashville?

Answer:

Another Example
How do you order numbers?

Order the cities by their populations from greatest to least.
To order whole numbers, line up the digits by place value. Start from the left and compare digits until they are different.

Step 1.
Write the numbers. 545,524 ←
Line up the places. 540,828
Begin at the left 529,121
and compare.

Step 2.
Look at the two
remaining numbers. 540,828 ←
Compare. 529,121

Step 3.
Write the numbers from
greatest to least. 545,524 540,828 529,121

In order of their populations from greatest to least, the cities are Nashville, Charlotte, and Portland.

Explain it

Question 1.
Explain why 89,010,000 is greater than 89,000,101.
Answer:

Question 2.
How can you order three whole numbers, each with a different number of digits, without comparing digits?
Answer:

Step 1
Line up the places
545,524
540,828
Begin at the keft.
Compare.
Use > for greater than.
Use < for less than.

Step 2
Find the first place 545,524 Where the digits 540,828 are different Compare 5 > 0
Think 5 thousands > 0 thousands

Think
5 thousands > 0 thousands

So, 545,524 > 540,828. Nashville has a greater population than Charlotte.

Guided Practice*

Do you know HOW?
Copy and complete. Write <, > or = for each .

Question 1.
9,445,000 10,000,000

Question 2.
496,256,001 496,155,001

Question 3.
20,003,888,065 20,003,868,001

Do you Understand?

Question 4.
Writing to Explain Why do you compare numbers beginning from the left after you line them up by place value?

Question 5.
Long Beach has a population of 491,564 and Fresno has a population of 464,727. Which city has a greater population?

Independent Practice

Copy and complete. Write <, > or

Question 6.
3,456 3,543

Question 7.
9,999 10,000
Answer:

Question 8.
98,325 98,325
Answer:

Question 9.
789,124 789,300
Answer:

Question 10.
4,701,045,756 4,701,045
Answer:

Question 11.
3,000,010 3,000,000,010
Answer:

Question 12.
29,374,087,210 28,124,087,210

Question 13.
13,059 9,898
Answer:

Question 14.
6,012,907,000 6,012,907,000
Answer:

Question 15.
8,937,051 8,937,501
Answer:

Question 16.
1,790,023,901 1,090,023,901
Answer:

Question 17.
45,034,521 45,034,251
Answer:

Question 18.
990,148,632,109 990,149,632,109

Independent Practice

Order from greatest to least.

Question 19.
65,081,127 7,000,128 9,910,001
Answer:

Question 20.
90,459,012,045 91,459,012,045 90,459,010,045

Question 21.
15,100,000,022 1,510,000,022 10,010,899,002

Question 22.
186,347,987 100,389,120 18,121,817 1,500,987

Problem Solving

Question 23.
Number Sense Write three numbers that are greater than 154,000 but less than 155,000.
Answer:

Question 24.
The U.S. Postal Service delivers about 212,000,000,000 pieces of mail every year. Which digit is in the ten billions place?
Answer:

Question 25.
Writing to Explain Here is how Marek ordered three numbers from least to greatest:
870,990; 4,970,070; 1,426,940
What mistake did Marek make? Explain how to correct his mistake.

Question 26.
Four brothers each bought a $9 movie ticket and a $4 bag of popcorn. Bottled water cost $2. Together, the brothers had $60. How much was left?

Question 27.
Algebra Find all the digits that can replace the missing digit to make this comparison true.

Question 28.
Which of the numbers below is the greatest?

A. 9,178
B. 9,817
C. 9,781
D. 8,971
Answer:

Question 29.
Glory Bicycle Company made $589,029 in sales. Right Bicycles made $590,011. Coastal Bikes made more than Glory Bicycle Company, but less than Right Bicycles. How much did Coastal Bikes make?
A. $589,020
B. $589,300
C. $590,101
D. $590,100
Answer:

Question 30.
The surface area of the moon is 37,900,000 square kilometers. Which has a larger surface area?

Answer:

Question 31.
Reasoning If a number is greater than 800,000,000,000 but less than 801,000,000,000, what digit will be in the billions place?
Answer:

Mixed Problem Solving

For 1 through 4, use the table at the right.

Question 1.
By how much did the United States population increase from 1790 to 1820?
Answer:

Question 2.
What is the difference between the population of the United States in 1850 and 1790?
Answer:

Question 3.
Which decade had the greatest growth in population?
Answer:

Question 4.
Which decade had the least amount of growth in population?
Answer:

For 5 through 8, use the table at the right.

Question 7.
How many more immigrants came from Germany than Scotland?
Answer:

Question 8.
Were there more immigrants from Germany and Scotland or from England?
Answer:

Question 9.
Strategy Focus Solve using the strategy, Try, Check, and Revise. Jake bought 2 items that cost a total of $24. One item cost $2 more than the other. What was the cost of each item?
Answer:

Envision Math 6th Grade Textbook Answer Key Topic 2.1 Using Variables to Write Expressions

Review What You Know

Vocabulary
Choose the best term from the box.

Question 1.
A(n) ? is a mathematical phrase that includes at least one variable and one operation.
Answer:
algebraic expression
Explanation:

Question 2.
The ? of a number uses exponents to write the repeated multiplication of the number called the base.
Answer:
exponential form
Explanation:

Question 3.
Numbers that are easy to compute men-tally are called ? numbers.
Answer:
compatible
Explanation:

Question 4.
A(n) ? is a symbol, such as n, that takes the place of a number or value.
Answer:
variable
Explanation:

Variables

Evaluate each expression for x = 4 and x = 7.
Question 5.
3x + 8
Answer:
20, 29
Explanation:

Question 6.
24 – 3x
Answer:
12, 3
Explanation:

Question 7.
5 + 5 + x
Answer:
14, 17
Explanation:

Question 8.
84 – x
Answer:
21, 12
Explanation:

Question 9.
2x + 5 – x
Answer:
9, 12
Explanation:

Question 10.
9x
Answer:
36, 63
Explanation:

Question 11.
2x + 4
Answer:
12, 18
Explanation:

Question 12.
28 – x
Answer:
7, 4
Explanation:

Answer Terms

Writing to Explain Write an answer for each question.
Question 13.
How are these terms alike: differences, sums, quotients, and products?
Answer:
See margin.
Explanation:

Question 14.
What does it mean to evaluate an algebraic expression?
Answer:
See margin.
Explanation:

Using Variables to Write Expressions

How can you write an algebraic expression?
Donnie bought CDs for $10 each. How can you represent the total cost of the CDs?
Answer:
A variable is a quantity that can change or vary and is often represented with a letter. Variables help you translate word phrases into algebraic expressions.

Other Examples
The table shows algebraic expressions for given situations.

Guided Practice

Do you know HOW?
Write an algebraic expression for each situation.
Question 1.
the difference of a number tand 22
Answer:
t – 22
Explanation:

Question 2.
m bicycles added to 18 bicycles
Answer:
18 + m
Explanation:

Question 3.
11 times a number z
Answer:
11z
Explanation:

Question 4.
4 less than 5 times a number g
Answer:
5g – 4
Explanation:

Do you UNDERSTAND?
Question 5.
In the problem at the top of the page, what does the variable n represent?
Answer:
The number of CDs Donnie bought
Explanation:

Question 6.
Identify the variable and the operation in the algebraic expression 8y.
Answer:
See margin.
Explanation:

Question 7.
Write an algebraic expression for this situation: n more students than the 8 students sitting in each of the 3 rows.
Answer:
n + 3(8)
Explanation:

CDs cost $10 each. The operation is multiplication.

Use the variable n to represent the number of CDs and write an algebraic expression.
$10 × n
An algebraic expression is a mathematical phrase that has at least one variable and one operation.
The total cost of the CDs is represented by
10 × n or 10n.
The operation is multiplication. The variable is n.

Independent Practice

For 8 through 13, write algebraic expressions.
Question 8.
A number p increased by 22
Answer:
p + 22
Explanation:

Question 9.
15 divided by a number r
Answer:
15 ÷ r
Explanation:

Question 10.
12 more points than a number p times 8
Answer:
8p + 12
Explanation:

Question 11.
6 less than 7 times a number b
Answer:
7b – 6
Explanation:

Question 12.
5 more than the product of x and 9
Answer:
9x + 5
Explanation:

Question 13.
7 times the difference of yand 4
Answer:
7 (y – 4)
Explanation:

Problem Solving

Question 14.
The distance around a closed shape can be expressed as 3 times side s, or 3s. Draw an example of this geometric shape.
Answer:
Students should draw an equilateral triangle.
Explanation:

Question 15.
Manuel sold 5 cartons of apple juice and 8 cartons of orange juice. Write an algebraic expression to represent how many cartons of each kind were sold.
Answer:
Sample answer: 5a + 8r
Explanation:

Question 16.
One float for the Tournament of Roses parade uses as many flowers as a florist usually uses in 5 years. If x is the number of flowers a florist uses in 1 year, write an algebraic expression for the number of flowers used to make a float.
Answer:
5x
Explanation:

Question 17.
Writing to Explain Devin’s DVD case has 3 rows of slots, but 5 slots are broken. If x equals the number of slots in a row, explain how the expression 3x – 5 relates to Devin’s DVD case.
Answer:
See margin.
Explanation:

Question 18.
A hen laid the same number of eggs each day for a week. Kelly collected the eggs for six days. Write an expression to show the number of eggs Kelly did not collect.
Answer:
7x – 6x
Explanation:

Question 19.
Think About the Process Which expression shows a quantity of rolls added to 8 bagels?
A. 8 – r
B. 8r
C. 8 + r
D. r ÷ 8
Answer:
C. 8 + r
Explanation:

Envision Math 6th Grade Textbook Answer Key Topic 1.6 Problem Solving

Problem Solving

Make an Organized List
Answer:
Suppose you throw three darts at the target pictured on the right. All of the darts hit the target. How can you find all of the different total points that you could score?

Guided Practice

Do you know HOW?
Suppose two darts hit a target that has two rings.The outer ring is 50 points, and the inner ring is 150 points. Use this information to answer 1 and 2.
Question 1.
Make an organized list to show all of the possible scores.
Answer:
See margin.
Explanation:

Question 2.
How many possible totals are there?
Answer:
3; 100,200,300
Explanation:

Do you UNDERSTAND?
Question 3.
In the example at the top, how is the list organized?
Answer:
See margin.
Explanation:

Question 4.
Write a Problem Write a problem that you can solve by making an organized list.
Answer:
See margin.
Explanation:

Independent Practice

Solve 5 by making an organized list. The list has been started for you.
Question 5.
Yolanda needs a 3-digit code for her locker. She wants to use the first three digits of her phone number, 763. How many different combinations using each of these digits does Yolanda have to choose from?
Answer:
6

Read and Understand
What do you know?
There are 3 different point values on the target. All three darts hit the target.

What are you trying to find?
What are the different total points that you could score?

Plan and Solve
Make an organized list to find all the possible scores.
There are ten different totals possible.

Solve 6 using the art on the right.
Question 6.
Randy went to the school fun fair and played the beanbag toss. He tossed 3 beanbags, and each went into a hole on the board. What are the possible total numbers of points he could have scored?

Answer:
See margin.
Explanation:

Question 7.
Ariana, Mia, Ethan, and Nick are planning a one- on-one basketball tournament. In the tournament, each player will play the other three just once. How many games will be played?
Answer:
6
Explanation:

Question 8.
Estimate About how many eggs would be laid by 7 chickens if each chicken lays 36 eggs?
Answer:
Sample answer: about 280
Explanation:

Question 9.
Is your estimate of the number of eggs 7 chickens could lay more or less than the actual answer? Explain.
Answer:
See margin.
Explanation:

Question 10.
Look for a pattern in the table of values at the right. Find a rule for the table.

Answer:
Add 5 to Input to get the Output
Explanation:

Question 11.
Writing to Explain How could you find the number of different ways to arrange 4 students in a row for a photo?
Answer:
See margin.
Explanation:

Question 12.
Dani has only quarters, dimes, and nickels in her bank. She needs $0.60 for the bus. She wants to use at least one quarter. How many different ways can Dani combine the coins to pay for the bus?
Answer:
6
Explanation:

Question 13.
Think About the Process Cassie is making an organized list of all the different ways to arrange the letters WXYZ. Following Cassie’s organization, which arrangement of letters will she place on the list next?

A. WZYX
B. XWYZ
C. YWXZ
D. ZWYZ
Answer:

Envision Math 6th Grade Textbook Answer Key Topic 1.5 Comparing and Ordering Decimals

Comparing and Ordering Decimals

How can you compare decimals?
Answer:
Batting averages for a single season are shown for some baseball players. Which of the two batting averages circled is greater?

Another Example
How do you order decimals using place value?
Answer:
One Way
Use a number line to order 4.002,3.985, and 4.01 from least to greatest.

3.985 is left of 4.002 and 4.002 is left of 4.01. So, 3.985 < 4.002 < 4.01.
Another Way
Order 4.002,3.985, and 4.01 from least to greatest by lining up the numbers so their decimal points align. Then compare digits from left to right and order the digits of each place value.

Write your answer: 3.985, 4.002, 4.010

Guided Practice

Do you know HOW?
In 1 through 4, use >, <, or =.
Question 1.
1.09 _____ 1.9
Answer:

1.09 1.9
Explanation:

Question 2.
18.001 _____ 18.01
Answer:
18.001 18.01
Explanation:

Question 3.
7.25 _____ 7.3
Answer:
7.25 7.3
Explanation:

Question 4.
0.1 _____ 0.1000
Answer:
0.1 0.1000
Explanation:

Question 5.
Order 7.08, 6.257, 7.6, 6.1, 6.29 from least to greatest.
Answer:
6.1, 6.257, 6.29, 7.08, 7.6
Explanation:

Do you UNDERSTAND?
Question 6.
Explain why 46.69 is less than 46.7.
Answer:
0.7 = 0.70 and 0.69 < 0.70
Explanation:

Question 7.
In the example at the top of the page, what place value determines which batting average is greater?
Answer:
thousandths
Explanation:

One Way
Compare 0.342 and 0.344 by locating them on a number line.

0.344 is right of 0.342 on the number line.
So, 0.344 > 0.342.

Another Way
Line the numbers up so their decimal points align.

So, 0.344 > 0.342.

Independent Practice

In 8 through 15, use >, <, or = to compare each pair of numbers.
Question 8.
5.084 _____ 5.84
Answer:
5.084 5.84
Explanation:

Question 9.
52.01 ______ 51.99
Answer:
52.1 51.99
Explanation:

Question 10.
0.721 _____ 0.7021
Answer:
0.721 0.7021
Explanation:

Question 11.
1.22 ____ 1.222
Answer:
1.2 1.222
Answer:
Explanation:

Question 12.
2.99 _____ 2.9900
Answer:
2.99 2.9900
Explanation:

Question 13.
438.783 _____ 438.738
Answer:
438.783 438.738
Explanation:

Question 14.
3.1428 _____ 3.1420
Answer:
3.1428 3.1420
Explanation:

Question 15.
3.35 ____ 2.44
Answer:
3.35 2.44
Explanation:

Order these numbers from least to greatest.
Question 16.
12.23, 12.223, 12.322
Answer:
12.223, 12.23, 12.322
Explanation:

Question 17.
1.01, 1.0, 1.011, 1.001
Answer:
1.0, 1.001, 1.01, 1.011
Explanation:

Question 18.
35.43, 35.435, 35.44, 35.451
Answer:
35.43, 35.435, 35.44, 35.451
Explanation:

Question 19.
0.7841, 0.834, 0.705, 0.81
Answer:
0.705, 0.7841, 0.81, 0.834
Explanation:

Problem Solving

Question 20.
Writing to Explain A redwood tree has a diameter of 30.2 ft. Lyndell says this tree has a smaller diameter than a tree with a diameter of 30.20 because 2 is less than 20. Is Lyndell correct? Explain.
Answer:
No, they are equal. 0.2 = 0.20

Question 21.
Arliss ran the fitness run in 9.65 seconds. Bonita ran it in 9.9 seconds. Cory ran it in 9.625 seconds, and Darla ran it in 10 seconds. Who ran it in the least amount of time?
A. Arliss
B. Bonita
C. Cory
D. Darla
Answer:
C. Cory

Question 22.
Reasoning Is a decimal with 4 digits always greater than a decimal with 3 digits? Give an example to explain.
Answer:
No. Sample answer: 0.1234 < 0.124
Explanation:

Question 23.
Number Sense Name three decimals between 0.55 and 0.56.
Answer:
Sample answer: 0.551, 0.552, 0.553
Explanation:

Envision Math 3rd Grade Textbook Answer Key Topic 2.3 Rounding 4-Digit Numbers

Rounding 4-Digit Numbers

How can you round four-digit numbers?
Answer:
The table shows ticket sales for two sports games. To the nearest thousand, about how many tickets were sold for the baseball game?

Question.
Round 2,379 to the nearest thousand to find out.
Answer:

Guided Practice

Do you know HOW?
Round to the nearest hundred.
Question 1.
4,569
Answer:

Question 2.
2,310
Answer:

Question 3.
9,992
Answer:

Round to the nearest thousand.
Question 4.
4,737
Answer:

Question 5.
8,333
Answer:

Question 6.
4,099
Answer:

Question 7.
3,914
Answer:

Question 8.
1,111
Answer:

Question 9.
6,274
Answer:

Do you UNDERSTAND?
Question 10.
How does the halfway number on the number line help you round 2,379?
Answer:

Question 11.
Writing to Explain Describe how to round 2,379 to the nearest hundred.
Answer:

Question 12.
In the example above, about how many tickets were sold for the football game, to the nearest hundred? to the nearest thousand?
Answer:

Independent Practice

For 13–22, round to the nearest hundred.
Question 13.
3,708
Answer:

Question 14.
5,542
Answer:

Question 15.
7,356
Answer:

Question 16.
8,929
Answer:

Question 17.
6,991
Answer:

Question 18.
4,008
Answer:

Question 19.
7,890
Answer:

Question 20.
6,555
Answer:

Question 21.
3,945
Answer:

Question 22.
9,961
Answer:

For 23–32, round to the nearest thousand.
Question 23.
2,774
Answer:

Question 24.
3,870
Answer:

Question 25.
5,077
Answer:

Question 26.
7,299
Answer:

Question 27.
8,603
Answer:

Question 28.
6,905
Answer:

Question 29.
8,500
Answer:

Question 30.
4,099
Answer:

Question 31.
2,495
Answer:

Question 32.
9,573
Answer:

One Way
You can use a number line to round.

2,379 is closer to 2,000 than to 3,000.
2,379 rounds to 2,000.
About 2,000 tickets were sold for the baseball game.

Another Way
You can use place value to round.

• Find the digit in the rounding place.
• If the next digit to the right is 5 or greater, increase the digit in the rounding place by 1. If the next digit is less than 5, keep the digit in the rounding place as it is.
• Change all the digits to the right of the rounding place to zero.

So, 2,379 rounds to 2,000.
About 2,000 tickets were
sold for the baseball game.

Problem Solving

In 33–36, write a number that rounds to the number given. Use all four of the digits at the right once in each answer.

Question 33.
4,000
Answer:

Question 34.
6,000
Answer:

Question 35.
5,500
Answer:

Question 36.
5,400
Answer:

Question 37.
The Golden Gate Bridge is 4,200 feet long. What is 4,200 rounded to the nearest thousand?
Answer:

Question 38.
Writing to Explain Describe the steps you would follow to round 3,647 to the nearest hundred.
Answer:

Question 39.
Number Sense Write a number that rounds to 7,000 when it is rounded to the nearest thousand.
Answer:

Question 40.
In 1 hour, an adult’s heart beats about 4,320 times.
a. To the nearest thousand, about how many times does an adult’s heart beat in one hour?
b. To the nearest hundred, about how many times does an adult’s heart beat in one hour?
Answer:

Question 41.
Which number rounds to 5,000 when it is rounded to the nearest thousand or to the nearest hundred?
A. 4,895
B. 5,029
C. 5,170
D. 5,956
Answer:

Envision Math 3rd Grade Textbook Answer Key Topic 1.3 Greater Numbers

Greater Numbers

How can you read and write greater numbers?
Answer:
Capitol Reef National Park in Utah covers 241,904 acres of land.

Guided Practice

Do you know HOW?
Write each number in standard form.
Question 1.
three hundred forty-two thousand, six hundred seven
Answer:

Question 2.
ninety-eight thousand, three hundred twenty
Answer:

Question 3.
500,000 + 40,000 + 600 + 90 + 3
Answer:

Question 4.
What is the value of the 9 in the number 379,050?
Answer:

Do you UNDERSTAND?
Question 5.
Number Sense Ramos says the value of the digit 7 in 765,450 is 70,000. Do you agree? Why or why not?
Answer:

Question 6.
Writing to Explain Describe how 130,434 and 434,130 are alike and how they are different.
Answer:

Independent Practice

Write each number in standard form.
Question 7.
twenty-seven thousand, five hundred fifty
Answer:

Question 8.
800,000 + 20,000 + 6,000 + 300 + 50
Answer:

Write each number in expanded form.
Question 9.
46,354
Answer:

Question 10.
395,980
Answer:

Write the place of the underlined digit. Then write its value.
Question 11.
404,705
Answer:

Question 12.
163,254
Answer:

Question 13.
45,391
Answer:

Question 14.
983,971
Answer:

Question 15.
657,240
Answer:

How can you show 241,904 in different ways?
place-value chart:

standard form: 241, 904
expanded form: 200,000 + 40,000 + 1,000 + 900 + 4
word form: two hundred forty-one thousand, nine hundred four

Algebra Find each missing number.
Question 16.
26,305 = 20,000 + ☐ + 300 + 5
Answer:

Question 17.
801,960 = 800,000 + 1,000 + ☐ + 60
Answer:

Question 18.
400,000 + ☐ + 30 + 2 = 470,032
Answer:

Question 20.
300,000 + ☐ + 600 + 3 = 304,603
Answer:

Question 19.
618,005 = ☐ + 10,000 + 8,000 + 5
Answer:

Question 21.
200,000 + 4,000 + 60 + 3 = ☐
Answer:

Problem Solving

For 22-24, use the table.

Question 22.
Write the population of each city in the table in expanded form.
Answer:

Question 23.
Write the population of Columbus, OH in word form.
Answer:

Question 24.
Which cities listed have fewer than eight hundred thousand people?
Answer:

Question 25.
A new world record was set when 303,628 dominos fell. Write 303,628 in expanded form.
Answer:

Question 26.
Which is the word form of 805,920?
A. eighty-five thousand, ninety-two
B. eight hundred five thousand, ninety-two
C. eight thousand, five hundred ninety-two
D. eight hundred five thousand, nine hundred twenty
Answer:

Envision Math 1st Grade Textbook Answer Key Topic 1.6 Problem Solving

Problem Solving

Use Objects

Home Connection Your child used counters to model numbers and to solve problems.
Home Activity Tell your child the following story problem: Ken has 5 toys. Show the toys using objects
Question 1.
___________
Answer:

Question 2.
___________
Answer:

Question 3.
____________
Answer:

Question 4.
____________
Answer:

Guided Practice

Use counters to model the problem. Then draw a picture to show your counters.
Question 1.
Bo has 5 marbles. Show the marbles Bo has.

Answer:

Question 2.
Penny buys 8 stamps. Show the stamps Penny buys.
Answer:

Do you understand?
Question.
How can you show a story problem with counters?
Answer:

Independent Practice

Use counters to model the problem. Then draw a picture to show your counters.
Question 3.
Quan makes 9 paper hats. Show the paper hats Quan makes.
Answer:

Question 4.
Ami sees 6 birds. Show the birds Ami sees.
Answer:

Question 5.
Ann has 12 books. Show the books Ann has.
Answer:

Problem Solving

Solve the problems below.
Question 6.
Jake puts 7 pencils on the table. Show the pencils Jake puts on the table. Use counters to model the problem. Then draw a picture to show your counters.
Answer:

Question 7.
There are 4 frogs in the pond. Which shows the number of frogs?

Answer:

Question 8.
Journal Write a story with the number 5. Ask a friend to draw a picture to show the problem.
________________________
________________________
Answer:

Envision Math 1st Grade Textbook Answer Key Topic 1.2 6 to 10

6 to 10

Home Connection Your child showed numbers from 6 through 10 using counters and a five-frame.
Home Activity Gather ten small objects. Say a number and have your child show it with objects.
Question 1.

Answer:

Question 2.

Answer:

Question 3.

Answer:

Question 4.

Answer:

Guided Practice

Write the number that tells how many.
Question 1.

Answer:

Question 2.

Answer:

Question 3.

Answer:

Question 4.

Answer:

Do you understand?
Question.
6 is 5 and 1 more. What is 7?
Answer:

Independent Practice

Write the number that tells how many.
Question 5.

Answer:

Question 6.

Answer:

Question 7.

Answer:

Question 8.

Answer:

Number Sense
Question 9.
Draw more counters to make 7.
Answer:

Problem Solving

Solve the problems below. 6 to 106 to 10
Question 10.
Kara found 5 shells. Then she found 3 more. How many shells did Kara find? Draw a picture. Write the number.

Answer:

Question 11.
Sal saw 5 cars. Then he saw 4 more. How many cars did Sal see?

Answer:

Question 12.
Journal What are 6 foods you like best? Draw and label them.
Answer: