Category: Envision Math

Envision Math 5th Grade Textbook Answer Key Topic 2.5 Adding Decimals

Adding Decimals

How can you add decimals?
What was the combined time for the first two legs of the relay race?

Choose an Operation Add to join groups.
Find 21.49 + 21.59.
Estimate: 21 + 22 = 43

Guided Practice*

Do you know HOW?
In 1 through 6, add the decimals.

Question 1.
0.82 + 4.21
Answer:

Question 2.
9.1 + 7.21
Answer:

Question 3.
9.7 + 0.24
Answer:

Question 4.
3.28 + 6.09
Answer:

Question 5.
0.26 + 8.3
Answer:

Question 6.
4.98 + 3.02
Answer:

Do you UNDERSTAND?

Question 7.
Reasonableness How do you know the total time for the first two legs of the race is reasonable?
Answer:

Question 8.
Writing to Explain How is finding $4.25 + $3.50 like finding 4.25 + 3.5? How is it different?
Answer:

Independent Practice

In 9 through 26, add the decimals.

Question 9.

Answer:

Question 10.

Answer:

Question 11.

Answer:

Question 12.

Answer:

Question 13.

Answer:

Question 14.

Answer:

Question 15.

Answer:

Question 16.

Answer:

Question 17.

Answer:

Question 18.

Answer:

Question 19.

Answer:

Question 20.

Answer:

Question 21.
$271.90 + $34.22 22.
Answer:

Question 22.
658.2 + 0
Answer:

Question 23.
0.922 + 6.4
Answer:

Question 24.
8.02 + 9.07
Answer:

Question 25.
13.9 + 0.16
Answer:

Question 26.
0.868 + 15.973
Answer:

Step 1

Write the numbers. Line up the decimal points.

Step 2

First, add the hundredths. Regroup if necessary

Step 3

Add the tenths, ones, and tens. The decimal point in the sum is aligned with the decimal point in the addends. Check the sum with your estimate.

The total time for the first two legs of the race was 43.08 seconds.

Problem Solving

Question 27.
A balloon mural of the Chicago skyline measures 17.6 m on two sides and 26.21 m on the other two sides. What is the perimeter of the mural?
A. 38.81 m
B. 48.21 m
C. 55.74 m
D. 87.62 m
Answer:

Question 28.
Writing to Explain Juan adds 3.8 ± 4.6 and gets a sum of 84. Is his answer correct? Tell how you know.
Answer:

Question 29.
Think About the process
Jamie earned $27 taking care of a neighbor’s dog for one week. She spent $19.95 on a new DVD. Later, she earned $15 for raking leaves. Which expression shows how to find the money Jamie has left?
A. $27 + $19.95 + $15
B. $19.95 – $15 + $27
C. $27 – $19.95 – $15
D. $27 – $19.95 – $15
Answer:

Question 30.
At a flower shop, Teri sees that roses are $3 each, carnations are $4 for 3 flowers, and tulips are $4 for 4 flowers. She buys 3 roses and
3 carnations. She has $20. How much change does Teri get back?

Question 31.
Which two cities had the greatest combined rainfall for the period given?
A. Caribou and Boise
B. Springfield and Macon
C. Macon and Boise
D. Caribou and Springfield

Answer:

Question 32.
What is the typical yearly rainfall for all four cities?
Answer:

Question 33.
Which location had less than 45 inches of rain but more than 40 inches of rain
Answer:

Envision Math 5th Grade Textbook Answer Key Topic 1 Reteaching

Reteaching

Set A, pages 4-5

Write the word form and tell the value of the underlined digit for 930,365.

Nine hundred thirty thousand, three hundred sixty-five.

Since the 0 is in the thousands place, its value is 0 thousands or 0.

Write the word form and tell the value of the underlined digit for 65,467,386,941.

Sixty-five billion, four hundred sixty-seven million, three hundred eighty-six thousand, nine hundred forty-one

Since the 6 is in the ten billions place, its value is 60,000,000,000.

Remember that, starting from the right, each group of three digits forms a period. Periods are separated by commas.

Write the word form and tell the value of the underlined digit.

Question 1.
9,000,009
Answer:

Question 2.
300,000,000,000
Answer:

Question 3.
25,678
Answer:

Question 4.
17,874,000,000
Answer:

Question 5.
4,000,345,000
Answer:

Question 6.
105,389
Answer:

Question 7.
876,400,000,00
Answer:

Question 8.
600,309,470
Answer:

Question 9.
135,000
Answer:

Question 10.
2,647,000
Answer:

Question 11.
4,104,327,894
Answer:

Set B, pages 6-8

Write <, >, or = for  in
2,876,547  2,826,547.
Line up the numbers above one another.
2,876,547 Begin at the left and compare.
2,826,547 Notice that the ten thousands are different.

7 ten thousands > 2 ten thousands
So, 2,876,547 > 2,826,547

Remember that lining up place values helps you compare numbers.

Question 1.
9,990  9,099
Answer:

Question 2.
89,128  90,000

Question 3.
1,000,000  999,999

Question 4.
300,300  303,000
Answer:

Question 5.
6,752,100  6,752,000
Answer:

Question 6.
9,314  9,314
Answer:

Question 7.
17,320  17,212
Answer:

Question 8.
45,006  45,060
Answer:

Question 9.
22,009  22,090
Answer:

Question 10.
145,372  147,372
Answer:

Question 11.
8,374  8,374
Answer:

Set C, pages 10-11

write the word form and tell the value of the underlined digit for the number 8.726. Write the numbers on a place value chart.

Eight and seven hundred twenty-six thousandths
The 2 is in the hundredths place. Its value is 0.02

Remember to write the word and for the decimal point.

Question 1.
8.59
Answer:

Question 2.
2.251
Answer:

Question 3.
7.003

Question 4.
3.24
Answer:

Question 5.
6.837
Answer:

Question 6.
0.636
Answer:

Set D, pages 12-13

Write <, >, or = for  in
8.45  8.47.

Line up the numbers above each other by the decimals.
8.45
8.47
5 hundredths < 7 hundredths
So, 8.45 < 8.47

Remember that equivalent decimals, such as 0.45 and 0.450, can help you compare numbers.

Question 1.
0.584  0.58
Answer:

Question 2.
9.327  9.236
Answer:

Question 3.
5.2  5.20
Answer:

Question 4.
5.643  5.675
Answer:

Question 5.
0.07  0.08
Answer:

Question 6.
3.602  3.062
Answer:

Set E, pages 14-16

The table below shows the number of new members each month for a club. If the pattern continues, how many new members will there be in June?

Pattern: The number doubles each month.
May: 120 × 2 × 240
June: 240 × 2 × 480
In June, there will be 480 new members

Remember to look for a pattern.

Question 1.
On the board, Andrea’s teacher wrote the pattern below. Find the next three numbers in the pattern.

Question 2.
Sean bought a rare stamp for $15. He was told that it would increase in value by $11 each year. What will the stamp’s value be after 4 years?
Answer:

Envision Math 5th Grade Textbook Answer Key Topic 1.5 Problem Solving

Look for a Pattern

There are patterns in decimal number charts. Continue the pattern to label the other squares.

Answer:

Another Example
In this decimal number chart, what are the patterns in the diagonals?

Using the same system as above, you could fill in the diagonals of a decimal number chart.

Explain It

Question 1.
If the grid above were extended by 2 cells in the same design, what decimals would be used to complete the grid?
Answer:

What are the missing decimals?

What are the missing decimals?

Moving from left to right, tenths are the same in each row except for the last number; the hundredths increase by 1.

Guided Practice*

Do you know how?

In 1 and 2, determine the patterns, and then complete the grids.

Question 1.

Answer:

Question 2.

Answer:

Do you UNDERSTAND?

Question 3.
In a completed decimal chart, look at the first row, which begins 0.01,0.02. If Rene were to create a thousandths table, what two numbers would immediately follow 0.001?
Answer:

Question 4.
Write a real-world problem that you could solve by looking for a pattern.
Answer:

Independent Practice

In 5 and 6, determine the patterns, and then complete the grids.

Question 5.

Answer:

Question 6.

Answer:

Question 7.
Describe the patterns you should use to complete the following grid, then complete it.

Answer:

Question 8.
Determine the pattern, and then complete the grid.

Answer:

Question 9.
Determine the pattern, and then complete the grid.

Answer:

Question 10.
What is the missing number in the grid?

Answer:

Question 11.
Drake drew a grid of five cells in a row. The number 0.75 was in the middle cell. What did Drake’s grid look like?

Answer:

Question 12.
Determine the pattern, and then complete the grid.

Answer:

Question 13.
Juan and his family went to a movie. They bought 2 adult tickets for $8 each and 3 student tickets for $5 each. They paid with two $20 bills. How much change did they get?
Answer:

Question 14.
The greatest distance of Mercury from Earth is 136,000,000 miles. Write this number in expanded form.
Answer:

Think About the Process

Question 15.
You buy three items costing $0.37, $0.35, and $0.19, and give the clerk $1.00. Which expression shows how to find the amount of change you would get from $1.00?
A. $0.37 + $0.35 + $0.19 + $1.00
B. $1.00 – $0.37
C. $1.00 – ($0.37 + $0.35 + $0.19)
D. $1.00 + $0.37 + $0.35 – $0.19
Answer:

Question 16.
If 100 people are waiting in line to buy tickets and only 53 tickets are available, which expression would you use to find how many people won’t be able to buy tickets?
A. 100+53
B. 100 – 53
C. 100×53
D. 53 + 53
Answer:

Stop and Practice

Find the sum. Estimate to check if the answer is reasonable.

Question 1.

Answer:

Question 2.

Answer:

Question 3.

Answer:

Question 4.

Answer:

Find the difference. Estimate to check if the answer is reasonable.

Question 5.

Answer:

Question 6.

Answer:

Question 7.

Answer:

Question 8.

Answer:

Find the product.

Question 9.

Answer:

Question 10.

Answer:

Question 11.

Answer:

Question 12.

Answer:

Question 13.

Answer:

Question 14.

Answer:

Question 15.

Answer:

Question 16.

Answer:

Question 17.

Answer:

Question 18.

Answer:

Error Search Find each sum or difference that is not correct. Write it correctly and explain the error.

Question 19.

Answer:

Question 20.

Answer:

Question 21.

Answer:

Question 22.

Answer:

Question 23.

Answer:

Number Sense

Estimating and Reasoning Write whether each statement is true or false. Explain your reasoning.

Question 24.
The product of 5 and 7 is 5 less than 30.
Answer;

Question 25.
The sum of 610 and 209 is less than 800.
Answer:

Question 26.
The quotient of 0 divided by 6 is zero.
Answer:

Question 27.
The difference of 619 – 271 is greater than 300 and less than 500.
Answer:

Question 28.
The sum of 196 + 435 is 4 less than 635.
Answer:

Question 29.
The quotient of 7 divided by 1 is 1.
Answer:

Envision Math 5th Grade Textbook Answer Key Topic 1.4 Comparing and Ordering Decimals

How can you compare and order decimals?

Scientists collected and measured the lengths of different cockroach species. Which cockroach had the greater length, the American or the Oriental cockroach? Use these three steps to find out.

Answer:

Another Example
How can you order decimals?

Step 1
Write the numbers, lining up the decimal points. Start at the left. Compare digits of the same place-value.
3.576
3.432
3.582
3.432 is the least.

Step 2
Write the remaining numbers, lining up the decimal points. Start at the left. Compare.
3.576
3.582
3.582 is greater.

Step 3
Write the numbers from least to greatest.
3.432, 3.576, 3.582
In order of their lengths from least to greatest, the cockroaches are the Oriental, the American, and the Australian.

Guided Practice*

Do you know how?

Compare the two numbers. Write >, <, or=for each .

Question 1.
3.692 3.697
Answer:

Question 2.
7.216 7.203
Answer:

Order these numbers from least to greatest.

Question 3.
5.540, 5.631, 5.625, 5.739
Answer:

Question 4.
0.675, 1.529, 1.35, 0.693
Answer:

Do you understand?

Question 5.
Write a number that is greater than 4.508 but less than 4.512.
Answer:

Question 6.
Scientists measured a Madeira cockroach and found it to be 3.438 cm long. If they were ordering the lengths of the cockroaches from least to greatest, between which two cockroaches would the Madeira cockroach belong?
Answer:

Step 1
Line up the decimal points.
Start at the left.
Compare digits of the same place-value.
3.576
3.432

Step 2
Find the first place where the digits are different.
3.576
3.432

Step 3
Compare. 5 > 4
Think 0.5 > 0.4
So, 3.576 > 3.432.
The American cockroach is longer than the Oriental cockroach

Independent Practice

Copy and complete. Write >, <, or = for each .

Question 7.
0.890 0.89
Answer:

Question 8.
5.733 5.693
Answer:

Question 9.
9.707 9.717
Answer:

Question 10.
4.953 4.951
Answer:

Order from least to greatest.

Question 13.
2.912, 2.909, 2.830, 2.841
Answer:

Question 14.
8.541, 8.314, 8.598, 8.8
Answer:

Order from greatest to least.

Question 15.
5.132, 5.123, 5.312, 5.231
Answer:

Question 16.
62.905, 62.905, 62.950, 62.383
Answer:

Problem Solving

Question 17.
Writing to Explain Why do you need to line up the decimal points before comparing and ordering numbers with decimals?
Answer:

Question 18.
Judith wants to buy her mother flowers. Judith earns $4 a week doing chores. If each flower costs $2, how many flowers can Judith buy her mother if she saves for three weeks?
Answer:

Question 19.
There are five types of grains of sands: coarse, very coarse, medium, fine, and very fine. A grain of fine sand can have a diameter of 0.125 millimeters.
Which number is less than 0.125?
A. 0.5
B. 0.2
C. 0.13
D. 0.12
Answer:

Envision Math 5th Grade Textbook Answer Key Topic 1.1 Place Value

Review What You Know

Vocabulary

Choose the best term from the box.

Question 1.
_________________________ are the symbols used to show numbers.
Answer:

Question 2.
A group of 3 digits in a number is a ______________________
Answer:

Question 3.
___________________ is the position of a digit in a number that is used to determine the value of the digit.
Answer:

Adding Whole Numbers

Question 4.
800 + 90 + 2
Answer:

Question 5.
3,000 + 400 + 50
Answer:

Question 6.
10,000 + 2,000 + 60 + 1
Answer:

Question 7.
37 + 85
Answer:

Question 8.
124 + 376
Answer:

Comparing

Compare. Use < or >.

Question 9.
869 912
Answer:

Question 10.
9,033 9,133
Answer:

Question 11.
11.1,338 1,388
Answer:

Question 12.
7,325 7,321
Answer:

Place Value

Question 13.
Writing to Explain In the number 767, does the first 7 have the same value as the final 7? Why or why not?
Answer:

Guided Practice

Do you know how?

In 1 through 3, write each number in standard form.

Question 1.
forty billion, forty-eight million
Answer:

Question 2.
90,000,000,000 + 5,000,000 + 300
Answer:

Question 3.
six billion, two hundred million, twelve thousand, six
Answer:

Do you uderstand?

Question 4.
Look at the number in the example at the top. In what place is the digit 6? What is its value?
Answer:

Question 5.
In which period does the 1 occur on the place-value chart? How does the period name help you read a large number?
Answer:

Independent Practice

Write each number in word form

Question 6.
7,123
Answer:

Question 7.
18,345
Answer:

Question 8.
10,010,468
Answer:

Question 9.
300,014,000,56
Answer:

write each number in standard form.

Question 10.
8,000,000 + 300 + 9
Answer:

Question 11.
60,000,000 + 10,000 + 20 + 3
Answer:

Question 12.
114,000,000,000 + 70,000 + 8,000 + 7
Answer:

Question 13.
50,000,000,000 + 200, 000 + 30, 000
Answer:

Write each number in expanded form.

Question 14.
670,200,640
Answer:

Question 15.
1,000,102,200
Answer:

Question 16.
85,000,011,000
Answer:

What is the value of the underlined digit in each number?

Question 17.
67,100
Answer:

Question 18.
6,800,000
Answer:

Problem Solving

Question 19.
The Milky Way Galaxy has at least two 20. Neptune is 4,498,252,900 km from hundred billion stars. Write this number in standard form.
Answer:

Question 20.
Neptune is 4,498,252,900 km from the sun. Write this number in expanded form.
Answer:

Question 21.
Janet purchased 3 T-shirts and 2 blouses. Each T-shirt cost $12 and each blouse cost $23. What was the total cost of Janet’s purchase?
Answer:

Question 22.
Number Sense Write three different 10-digit numbers that have a 7 in the millions place.
Answer:

Question 23.
In a recent U.S. Census, California’s population was 33,871,648. What is California’s population after
a. an increase of 100,000.
b. an increase of 1,000,000.
c. a decrease of 10,000
Answer:

Question 24.
Writing to Explain For the standard form of two billion, three hundred fifty thousand, four, Danielle wrote 2,350,400,0. What error did she make? What is the correct standard form of the number?
Answer:

Question 25.
Each October, millions of monarch butterflies migrate south from as far north as the Canadian Rockies, to locations in California and Mexico. About 65,000 come to stay the winter in Pacific Grove, California. Write 65,000 in word form.

Answer:

Question 26.
What is the value of the underlined digit in 90,805,001,021?
A. 5,000
B. 50,000
C. 500,000
D. 5,000,000
Answer:

Envision Math 4th Grade Textbook Answer Key | Envision Math Grade 4 Answers

Envision Math Grade 4 Answers Topic 1 Numeration

• Topic 1.1 Thousands
• Topic 1.2 Millions
• Topic 1.3 Comparing and Ordering Whole Numbers
• Topic 1.4 Understanding Zeros in Place Value
• Topic 1.5 Problem Solving
• Topic 1 Test Prep
• Topic 1 Reteaching

Envision Math 4th Grade Answer Key Topic 2 Addition and Subtraction Number Sense

• Topic 2.1 Understanding Rounding
• Topic 2.2 Rounding Whole Numbers
• Topic 2.3 Using Mental Math to Add and Subtract
• Topic 2.4 Estimating Sums and Differences of Whole Numbers
• Topic 2.5 Problem Solving
• Topic 2.6 Adding Whole Numbers
• Topic 2.7 Subtracting Whole Numbers
• Topic 2.8 Subtracting Across Zeros
• Topic 2.9 Problem Solving
• Topic 2 Test Prep
• Topic 2 Reteaching

Envision Math Grade 4 Answer Key Topic 3 Multiplication and Division Meanings and Facts

• Topic 3.1 Meanings of Multiplication
• Topic 3.2 Patterns for Facts
• Topic 3.3 Multiplication Properties
• Topic 3.4 3, 4, 6, 7, and 8 as Factors
• Topic 3.5 Problem Solving
• Topic 3.6 Meanings of Division
• Topic 3.7 Relating Multiplication and Division
• Topic 3.8 Special Quotients
• Topic 3.9 Using Multiplication Facts to Find Division Facts
• Topic 3.10 Problem Solving
• Topic 3 Test Prep
• Topic 3 Reteaching

Envision Math 4th Grade Textbook Answers Topic 4 Multiplying by 1-Digit Numbers

• Topic 4.1 Multiplying by Multiples of 10 and 100
• Topic 4.2 Using Mental Math to Multiply
• Topic 4.3 Using Rounding to Estimate
• Topic 4.4 Using an Expanded Algorithm
• Topic 4.5 Multiplying 2-Digit by 1-Digit Numbers
• Topic 4.6 Multiplying 3-Digit by 1-Digit Numbers
• Topic 4.7 Multiplying Greater Numbers by 1-Digit Numbers
• Topic 4.8 Problem Solving
• Topic 4 Test Prep
• Topic 4 Reteaching

Envision Math 4th Grade Textbook Answer Key Topic 5 Variables and Expressions

• Topic 5.1 Variables and Expressions
• Topic 5.2 Equality
• Topic 5.3 Expressions with Parentheses
• Topic 5.4 Simplifying Expressions
• Topic 5.5 Problem Solving
• Topic 5 Test Prep
• Topic 5 Reteaching

Envision Math Grade 4 Online Textbook Topic 6 Multiplying by 2-Digit Numbers

• Topic 6.1 Using Mental Math to Multiply 2-Digit Numbers
• Topic 6.2 Estimating Products
• Topic 6.3 Arrays and an Expanded Algorithm
• Topic 6.4 Multiplying 2-Digit Numbers by Multiples of Ten
• Topic 6.5 Multiplying 2-Digit by 2-Digit Numbers
• Topic 6.6 Multiplying Greater Numbers by 2-Digit Numbers
• Topic 6.7 Problem Solving
• Topic 6 Test Prep
• Topic 6 Reteaching

4th Grade Envision Math AnswersTopic 7 Dividing by 1-Digit Divisors

• Topic 7.1 Using Mental Math to Divide
• Topic 7.2 Estimating Quotients
• Topic 7.3 Dividing with Remainders
• Topic 7.4 Connecting Models and Symbols
• Topic 7.5 Dividing 2-Digit by 1-Digit Numbers
• Topic 7.6 Dividing 3-Digit by 1-Digit Numbers
• Topic 7.7 Deciding Where to Start Dividing
• Topic 7.8 Zeros in the Quotient
• Topic 7.9 Factors
• Topic 7.10 Prime and Composite Numbers
• Topic 7.11 Problem Solving
• Topic 7 Test Prep
• Topic 7 Reteaching

Envision Math Answer Key Grade 4 Topic 8 Lines, Angles, Shapes, and Solids

• Topic 8.1 Points, Lines, and Planes
• Topic 8.2 Line Segments, Rays, and Angles
• Topic 8.3 Polygons
• Topic 8.4 Triangles
• Topic 8.5 Quadrilaterals
• Topic 8.6 Circles
• Topic 8.7 Solids
• Topic 8.8 Views of Solids: Nets
• Topic 8.9 Views of Solids: Perspective
• Topic 8.10 Problem Solving
• Topic 8 Test Prep
• Topic 8 Reteaching

Scott Foresman Addison Wesley Envision Math Grade 4 Answers Topic 9 Fraction Meanings and Concepts

• Topic 9.1 Regions and Sets
• Topic 9.2 Fractions and Division
• Topic 9.3 Equivalent Fractions
• Topic 9.4 Fractions in Simplest Form
• Topic 9.5 Improper Fractions and Mixed Numbers
• Topic 9.6 Comparing Fractions
• Topic 9.7 Ordering Fractions
• Topic 9.8 Problem Solving
• Topic 9 Test Prep
• Topic 9 Reteaching

Pearson Envision Math Grade 4 Answer Keys Topic 10 Addition and Subtraction of Fractions

• Topic 10.1 Adding and Subtracting Fractions with Like Denominators
• Topic 10.2 Adding Fractions with Unlike Denominators
• Topic 10.3 Subtracting Fractions with Unlike Denominators
• Topic 10.4 Problem Solving
• Topic 10 Test Prep
• Topic 10 Reteaching

Pearson Math Grade 4 Answer Keys Topic 11 Fraction and Decimal Concepts

• Topic 11.1 Decimal Place Value
• Topic 11.2 Comparing and Ordering Decimals
• Topic 11.3 Fractions and Decimals
• Topic 11.4 Fractions and Decimals on the Number Line
• Topic 11.5 Mixed Numbers and Decimals on the Number Line
• Topic 11.6 Problem Solving
• Topic 11 Test Prep
• Topic 11 Reteaching

Pearson Education Answer Key Math 4th Grade Topic 12 Operations with Decimals

• Topic 12.1 Rounding Decimals
• Topic 12.2 Estimating Sums and Differences of Decimals
• Topic 12.3 Modeling Addition and Subtraction of Decimals
• Topic 12.4 Adding and Subtracting Decimals
• Topic 12.5 Multiplying and Dividing with Decimals
• Topic 12.6 Problem Solving
• Topic 12 Test Prep
• Topic 12 Reteaching

Envision Math Grade 4 Answers Topic 13 Solving Equations

• Topic 13.1 Equal or Not Equal
• Topic 13.2 Solving Addition and Subtraction Equations
• Topic 13.3 Solving Multiplication and Division Equations
• Topic 13.4 Translating Words to Equations
• Topic 13.5 Problem Solving
• Topic 13 Test Prep
• Topic 13 Reteaching

Envision Math 4th Grade Answer Key Topic 14 Integers

• Topic 14.1 Understanding Integers
• Topic 14.2 Comparing Integers
• Topic 14.3 Ordering Integers
• Topic 14.4 Problem Solving
• Topic 14 Test Prep
• Topic 14 Reteaching

Envision Math Grade 4 Answer Key Topic 15 Measurement, Perimeter, and Area

• Topic 15.1 Customary Measures
• Topic 15.2 Metric Measures
• Topic 15.3 Perimeter
• Topic 15.4 Area of Squares and Rectangles
• Topic 15.5 Area of Irregular Shapes
• Topic 15.6 Same Perimeter, Different Area
• Topic 15.7 Same Area, Different Perimeter
• Topic 15.8 Problem Solving
• Topic 15 Test Prep
• Topic 15 Reteaching

Envision Math 4th Grade Textbook Answers Topic 16 Data and Graphs

• Topic 16.1 Data from Surveys
• Topic 16.2 Interpreting Graphs
• Topic 16.3 Line Plots
• Topic 16.4 Mean
• Topic 16.5 Median, Mode, and Range
• Topic 16.6 Problem Solving
• Topic 16 Test Prep
• Topic 16 Reteaching

Envision Math 4th Grade Textbook Answer Key Topic 17 Length and Coordinates

• Topic 17.1 Ordered Pairs
• Topic 17.2 Shapes on Coordinate Grids
• Topic 17.3 Lengths of Horizontal and Vertical Line Segments
• Topic 17.4 Problem Solving
• Topic 17 Test Prep
• Topic 17 Reteaching

Envision Math Grade 4 Online Textbook Topic 18 Formulas and Equations

• Topic 18.1 Formulas and Equations
• Topic 18.2 Addition and Subtraction Patterns and Equations
• Topic 18.3 Multiplication and Division Patterns and Equations
• Topic 18.4 Graphing Equations
• Topic 18.5 More Graphing Equations
• Topic 18.6 Problem Solving
• Topic 18 Test Prep
• Topic 18 Reteaching

4th Grade Envision Math Answers Topic 19 Congruence and Symmetry

• Topic 19.1 Congruent Figures
• Topic 19.2 Line Symmetry
• Topic 19.3 Rotational Symmetry
• Topic 19.4 Problem Solving
• Topic 19 Test Prep
• Topic 19 Reteaching

Envision Math Answer Key Grade 4 Topic 20 Probability

• Topic 20.1 Finding Combinations
• Topic 20.2 Outcomes and Tree Diagrams
• Topic 20.3 Writing Probability as a Fraction
• Topic 20.4 Problem Solving
• Topic 20 Test Prep
• Topic 20 Reteaching

Envision Math 4th Grade Textbook Answer Key Topic 2 Reteaching

Reteaching

Set A, pages 24-25

Use a number line to round 837 to the nearest ten.

Compare 837 to the halfway point, which is 835.

837 is to the right of the halfway point. So, 837 rounds to 840.

Remember to use the midpoint of the number line as a guide for rounding.

Use a number line to round each number to the place of the underlined digit.

Question 1.
3,767
Answer:

Question 2.
2,515
Answer:

Question 3.
434
Answer:

Question 4.
6,724
Answer:

Question 5.
1,623
Answer:

Question 6.
4,293
Answer:

Question 7.
5,193
Answer:

Question 8.
926
Answer:

Question 9.
467
Answer:

Question 10.
8,427
Answer:

Set B, pages 26–27

Round 346,764,802 to the nearest hundred thousand.

The digit to the right of the rounding place is 6.
Since 6 > 5, round by adding 1 to the digit in the hundred thousands place.
So, 346,764,802 rounds to 346,800,000.

Round 28,216 to the nearest thousand.

The digit to the right of the rounding place is 2.
Since 2 < 5, the digit in the rounding place stays the same.
So, 28,216 rounds to 28,000.

Remember to look at the number to the right of the rounding place. Then change the digits to the right of the rounding place to zeros.

Round each number to the place of the underlined digit.

Question 1.
166,742
Answer:

Question 2.
76,532
Answer:

Question 3.
5,861
Answer:

Question 4.
2,432,741
Answer:

Question 5.
132,505
Answer:

Question 6.
257,931
Answer:

Question 7.
38,427
Answer:

Question 8.
6,925
Answer:

Question 9.
243,819
Answer:

Question 10.
693,587
Answer:

Question 11.
15,183,297
Answer:

Question 12.
493,620,761
Answer:

Set C, pages 28–30

Add 155 + 83. Use mental math.

Look for a ten and use the breaking apart method. Adding 5 to 155 is easy.
Break apart 83.

155 + 5 = 160
160 + 78 = 238
So, 155 + 83 = 238.

Remember that when you use compensation, you must adjust the sum or difference.

Question 1.
53 + 88
Answer:

Question 2.
372 + 226
Answer:

Question 3.
734 – 223
Answer:

Question 4.
147 – 56
Answer:

Question 5.
5,342 + 1,826
Answer:

Question 6.
283 – 169
Answer:

Question 7.
6,000 + 0
Answer:

Question 8.
854 + 353
Answer:

Question 9.
1,854 + 362
Answer:

Question 10.
3,874 + 121
Answer:

Question 11.
363 + 784
Answer:

Question 12.
841 + 1,024
Answer:

Question 13.
676 – 521
Answer:

Question 14.
1,089 – 961
Answer:

Question 15.
899 – 275
Answer:

Question 16.
1,444 – 1,225
Answer:

Question 17.
2,401 – 1,025
Answer:

Question 18.
2,499 + 2,601
Answer:

Set D, pages 32–33

Estimate

Round each number to the nearest hundred.
1,579 rounds to 1,600.
1,248 rounds to 1,200.

Round each number to the nearest ten.
534 rounds to 530.
246 rounds to 250.

Remember that you can round numbers to the nearest hundred or thousand when estimating sums and differences.

Question 1.
473 + 465
Answer:

Question 2.
8,352 – 3,421
Answer:

Question 3.
586 – 483
Answer:

Question 4.
4,094 + 246
Answer:

Question 5.
1,440 – 933
Answer:

Question 6.
748 – 392
Answer:

Question 7.
981 + 193
Answer:

Question 8.
725 + 635
Answer:

Question 9.
318 + 567
Answer:

Question 10.
4,806 – 295
Answer:

Question 11.
743 – 188
Answer:

Question 12.
607 – 492
Answer:

Question 13.
3,593 + 1,208
Answer:

Question 14.
6,921 + 451
Answer:

Question 15.
7,264 – 2,835
Answer:

Question 16.
1,847 + 3,086
Answer:

Set E, pages 34–35

What do I know?

Cathy had $8. She bought a sandwich, a fruit cup, and a milk at the snack bar. She spent a total of $6 on the sandwich and milk.
How much did Cathy have left?

What am I asked to find?

The amount of money Cathy had left.

Is there missing information needed to solve the problem?

Yes, I need to know the cost of the fruit cup so I can find the total spent. Then I can find how much Cathy had left.

Is there extra information not needed to solve the problem?

No, there is no extra information.

Remember some problems have information you do not need. Solve.

Question 1.
At the zoo, Doug saw 14 wallabies. He saw 5 Agile wallabies. The rest of the wallabies he saw were Rock wallabies. How many Rock wallabies did Doug see?
Answer:

Question 2.
At the same zoo, Helen went to the Bat House exhibit to look at the Horseshoe bats. Min went to the same exhibit and saw 12 different bats. How many bats did Helen and Min see all together?
Answer:

Set F, pages 36–38

Add 359 + 723.
Estimate: 400 + 700 = 1,100

The answer is reasonable.

Remember to regroup if necessary when adding whole numbers.

Question 1.
215 + 8,823
Answer:

Question 2.
14,296 + 444
Answer:

Question 3.
2,417 + 3,573
Answer:

Question 4.
572 + 941
Answer:

Question 5.

Answer:

Question 6.

Answer:

Question 7.

Answer:

Question 8.

Set G, pages 40–41

Find 831 – 796.
Estimate: 830 – 800 = 30

The answer is reasonable

Remember you may need to regroup before you subtract.

Question 1.
415 – 323
Answer:

Question 2.
673 – 294
Answer:

Question 3.
186 – 77
Answer:

Question 4.
4,978 – 2,766
Answer:

Question 5.

Answer:

Question 6.

Answer:

Question 7.

Answer:

Question 8.

Answer:

Set H, pages 42–43

Find 400 – 378.
Estimate: 400 – 380 = 20
Regroup 4 hundreds to tens and ones.

The answer is reasonable.
Remember to use the inverse operation to check your answer.

Question 1.
700 – 255
Answer:

Question 2.
1,054 – 438
Answer:

Question 3.
320 – 111
Answer:

Question 4.
4,508 – 2,613
Answer:

Question 5.

Answer:

Question 6.

Answer:

Set J, pages 44–46

The standard weight of a penny is 2.50 g, a standard nickel is 5.0 g, and a standard half dollar is 11.34 g. Estimate how much greater the weight of a half dollar is than a nickel.

What am I asked to find?
Estimate the difference between the weights.

Use subtraction to solve.
11.34 rounds to 11.
11.0 – 5.0 = 6.0

Remember you can draw a picture or diagram to model the problem.

Question 1.
A 7-kilometer run had markers at the starting line and at the finish line. Markers were placed at each kilometer. How many markers
were used for the race?

Answer:

Envision Math 4th Grade Textbook Answer Key Topic 2 Test Prep

Test Prep

Question 1.
Joe got 9,867 points playing a video game, and Shari got 7,375 points. How many more points did Joe get than Shari? (2-7)
A. 2,592
B. 2,512
C. 2,492
D. 1,492
Answer:

Question 2.
The table shows tickets sold to the school play. Which is the best estimate of the total tickets sold? (2-4)

A. 1,100
B. 1,000
C. 900
D. 800
Answer:

Question 3.
Dan bought a 3-ring binder for $4, a package of pencils for $1, and two packages of paper. What information is needed to find the total amount Dan spent before tax? (2-5)
A. The cost of a package of paper
B. The cost of a package of erasers
C. The color of the binder
D. How much money Dan gave the clerk
Answer:

Question 4.
The U. S. Constitution contains 4,543 words, including the signatures. What is 4,543 rounded to the nearest hundred? (2-1)
A. 4,000
B. 4,500
C. 4,540
D. 4,600

Answer:

Question 5.
To find 239 + 149, Garrett made a multiple of ten, as shown below. What is the missing number? (2-3)
239 + 149 = 240 +  = 388
A. 129
B. 130
C. 147
D. 148
Answer:

Question 6.
A musical group made 8,000 copies of a CD. By the end of the year, the group sold 6,280 copies. How many copies did they have left to sell? (2-8)
A. 2,720
B. 2,280
C. 1,820
D. 1,720
Answer:

Question 7.
What is 500-126? (2-8)
A. 626
B. 484
C. 426
D. 374
Answer:

Question 8.
In April, 5,326 books were checked out of the library. In May, 3,294 books were checked out. How many books were checked out in all? (2-6)
A. 8,620
B. 8,610
C. 8,520
D. 8,510
Answer:

Question 9.
What number makes the number sentence true? (2-3)
28 + 79 = + 28
A. 51
B. 78
C. 79
D. 107
Answer:

Question 10.
What is 22,456 + 694 + 1,121? (2-6)
A. 24,271
B. 24,171
C. 23,271
D. 23,161
Answer:

Question 11.
The last total solar eclipse seen in Phoenix, Arizona, was in 1806. The next one will not be seen until 2205. Which number sentence shows the best way to estimate the number of years between the eclipses, using rounding? (2-4)
A. 2000 – 1800 = 200
B. 2200 – 1810 = 390
C. 2210 – 1810 = 400
D. 2210 – 1800 = 410
Answer:

Question 12.
Daria’s book has 323 pages. She has read 141 pages. Which picture models how to find the number of pages she has left to read? (2-9)

Answer:

Question 13.
Last month, Mr. Chase’s class read a total of 6,437 pages. This month, they read 3,529 pages. How many more pages do the students need to read to reach the total from last month? (2-7)
A. 2,908
B. 2,912
C. 3,108
D. 3,112
Answer:

Question 14.
What is 543,259,809 rounded to the nearest ten thousand? (2-2)
A. 540,000,000
B. 543,250,000
C. 543,259,810
D. 543,260,000
Answer:

Envision Math 4th Grade Textbook Answer Key Topic 2.8 Subtracting Across Zeros

Subtracting Across Zeros

How do you subtract across zeros?

An airplane flight to Chicago has seats for 300 passengers. The airline sold 278 tickets for the flight. How many seats are still available for the flight?

Guided Practice*

In 1 through 6, subtract.

Question 1.

Answer:

Question 2.

Answer:

Question 3.
810 – 638
Answer:

Question 4.
3,304 – 1,137
Answer:

Question 5.
1,001 – 868
Answer:

Question 6.
4,000 – 1,698
Answer:

Question 7.
How would you check if the answer in the example above is correct?
Answer:

Question 8.
One passenger flew from New York to Phoenix. The flight was 2,145 miles. Another passenger flew from Boston to Seattle. The flight
was 2,496 miles. How many more miles was the flight to Seattle? In 9 through 28, subtract.

Question 9.

Answer:

Question 10.

Answer:

Question 11.

Answer:

Question 12.

Answer:

Question 13.

Answer:

Question 14.

Answer:

Question 15.

Answer:

Question 16.

Answer:

Question 17.
450 – 313
Answer:

Question 18.
5,025 – 178
Answer:

Question 19.
406 – 381
Answer:

Question 20.
6,090 – 5,130
Answer:

Question 21.
1,001 – 35
Answer:

Question 22.
900 – 406
Answer:

Question 23.
504 – 319
Answer:

Question 24.
10,807 – 4,373
Answer:

Question 25.
3,000 – 1,047
Answer:

Question 26.
5,001 – 368
Answer:

Question 27.
700 – 520
Answer:

Question 28.
2,700 – 1,699
Answer:

One Way

Find 300 – 278.
Estimate: 300 – 280 = 20
Regroup hundreds to tens and tens to ones.

There are 22 seats available for the flight.

Another way
Find 300 – 278.
Estimate: 300 – 280 = 20
Think of 300 as 30 tens and 0 ones

There are 22 seats available for the flight.

Problem Solving

Question 29.
Shawn scored 10,830 points playing a video game. Miguel scored 9,645 points. How many more points did Shawn score than Miguel?
Answer:

Question 30.
Writing to Explain Will the difference between 4,041 and 3,876 be greater or less than 1,000? Explain your answer.
Answer:

Question 31.
Use the chart on the right. Music City sells CDs. Which of the following tells how many more Hip Hop CDs were sold than Latin CDs in April?

A. 887
B. 897
C. 7,090
D. 13,293
Answer:

Question 32.
William drove from Atlanta, Georgia, to Portland, Oregon. The round trip was 5,601 miles. He traveled 2,603 miles to get to Portland, Oregon, but he decided to take a different route back. How many miles did he travel to get back to Atlanta?
Answer:

Question 33.
On Thursday, 10,296 people attended a college basketball home game. The following week, 12,000 people attended an away game. How many more people attended the away game than the home game?

Answer:

Question 34.
In a dart game, Casey scored 42 points, and Maggie scored 28 points. Jesse scored fewer points than Casey but more points than
Maggie. Which is a possible score for Jesse?
A. 50 points
B. 46 points
C. 34 points
D. 26 points
CDs Sold in April
Answer:

Envision Math 4th Grade Textbook Answer Key Topic 2.4 Estimating Sums and Differences of Whole Numbers

Estimating Sums and Differences of Whole Numbers

How can you estimate sums and differences of whole numbers?

The Empire State Building was completed in 1931. From ground to tip, it measures 1,250 feet. At the top of the building is a lightning rod which measures 204 feet. Estimate the total height of the structure.

Guided Practice*

Do you know HOW?

In 1 through 6, estimate each sum or difference.

Question 1.

Answer:

Question 2.

Answer:

Question 3.
645 + 253
Answer:

Question 4.
262 – 132
Answer:

Question 5.
952 – 402
Answer:

Question 6.
398 + 121
Answer:

Do You understand?

Question 7.
Writing to Explain In the first example above, why can’t you round both numbers to the nearest thousand?
Answer:

Question 8.
The Statue of Liberty was completed in 1886. About how many years later was the Empire State Building completed than the Statue of Liberty?

Independent practice

In 9 through 16, estimate by rounding to the nearest ten.

Question 9.

Answer:

Question 10.

Answer:

Question 11.

Answer:

Question 12.

Answer:

Question 13.
738 + 741
Answer:

Question 14.
895 – 305
Answer:

Question 15.
755 – 344
Answer:

Question 16.
586 + 278
Answer:

In 17 through 24, estimate by rounding to the nearest hundred.

Question 17.

Answer:

Question 18.

Answer:

Question 19.

Answer:

Question 20.

Answer:

Question 21.
423 + 196
Answer:

Question 22.
891 + 223
Answer:

Question 23.
1,724 – 731
Answer:

Question 24.
551 – 249
Answer:

Round each number to the nearest hundred.

The total height is about 1,500 feet.
The answer is reasonable because the total height is greater than the height of the Empire State Building.

The Washington Monument was completed in 1884. About how many years after was the Empire State
Building completed?

The Empire State Building was completed about 50 years later.

Problem Solving

Question 25.
The time line below shows the years that the Big Basin Redwoods State Park and the Mount Diablo State Park opened to the public. Use the time line to estimate the difference in years between the time they opened.

Answer:

Question 26.
This year, 35,658 people ran in a marathon. Last year, 8,683 fewer people ran. About how many people
ran last year?
Answer:

Question 27.
During swimming practice, Juan swam 15 laps and Ted swam 9 laps. How many more laps did Juan swim
than Ted?
Answer:

Question 28.
The table below shows the number of students per grade. Estimate the total number of students in Grades 3, 4, and 5. About how many students are in Grades 4 and 5?
Answer:

Question 29.
Alex sold 86 tickets to a school talent show on Thursday and 103 tickets on Friday. About how many tickets to the talent show did Alex sell altogether?
A. About 100
B. About 200
C. About 300
D. About 400
Answer: