## Envision Math 3rd Grade Textbook Answer Key Topic 1.4 Comparing Numbers

Comparing Numbers

How do you compare numbers?
When you compare two numbers you find out which number is greater and which number is less.

Question.
Which is taller, the Statue of Liberty or its base?

Another Example

How can you use place value to compare numbers?
Compare 3,456 and 3,482 using a place-value chart.
Line up the digits by place value.
Compare the digits starting from the left.

So 3,456 is less than 3,482.
3,456 < 3,482

Explain It

Question 1.
In this example, why don’t you need to compare the digits in the ones place?

Question 2.
Why can’t you tell which number is greater by just comparing the first digit in each number?

You can use symbols.

You can compare 151 and 154 with place value.
154 is greater than 151.

The place-value blocks also show that 151 is less than 154.
151 < 154
So, the base is taller than the statue.

Guided Practice

Do you know HOW?
Compare the numbers. Use <, >, or =.
Question 1.

141 64

Question 2.

343 352

Question 3.
2,561 2,261

Question 4.
6,807 6,807

Do you UNDERSTAND?
Question 5.
Number Sense Cara says that since 4 is greater than 1, the number 496 is greater than 1,230. Do you agree? Why or why not?

Question 6.
Writing to Explain The total height of the Statue of Liberty is 305 feet. The height of the Washington Monument is 555 feet. Which is taller?
Explain how you know.

Independent Practice

Compare the numbers. Use <, >, or =.
Question 7.

93 120

Question 8.

243 234

Question 9.
679 4,985

Question 10.
9,642 9,642

Question 11.
5,136 5,163

Question 12.
8,204 8,402

Question 13.
3,823 3,853

Question 14.
2,424 2,242

Number Sense Write the missing digits to make each number sentence true.
Question 15.
☐ 24 > 896

Question 16.
6 ☐ 7 < 617

Question 17.
29 ☐ = 2 ☐ 0

Question 18.
☐,000 < 1,542

Question 19.
3,☐ 12 > 3,812

Question 20.
2,185 > 2, ☐ 85

Problem Solving

Use the pictures for 21 and 22.

Question 21.
Writing to Explain Which is taller, the Washington Monument or the General Sherman tree? How do you know?

Question 22.
Which is taller, the Gateway Arch or the Space Needle?

Question 23.
Reasoning Mark is thinking of a 3-digit number. Rory is thinking of a 4-digit number. Whose number is greater? How do you know?

Question 24.
Number Sense Suppose you are comparing 1,272 and 1,269. Do you need to compare the ones digits? Explain.

Question 25.
Which number sentence is true if the number 537 replaces the box?
A. 456 > ☐
B. ☐ = 256
C. 598 < ☐ D. ☐ > 357

Algebra Connections

Number Patterns
Remember that skip counting can be used to make a number pattern. Skip counting can also be used to find missing numbers in a given pattern.
Copy and complete. Write the number that completes each pattern.

Examples: 2, 4, 6, 8, ☐, 12
Think: Can you skip count by a certain number to get each number in the pattern?
Skip count by 2s for this pattern. 2, 4, 6, 8, 10, 12

Question 1.
3, 6, 9, 12, ☐, 18

Question 2.
14, ☐, 18, 20, 22, 24

Question 3.
20, 30, ☐, 50, 60, 70

Question 4.
25, 50, 75, 100, 125, ☐

Question 5.
3, 8, 13, 18, 23, ☐

Question 6.
9. 90, 80, 70, ☐, 50, 40

Question 10.
22, 20, 18, 16, ☐, 12

Question 11.
86, 81, ☐, 71, 66, 61

Question 12.
150, ☐, 100, 75, 50, 25

For 13 and 14, copy and complete each pattern. Use the pattern to help solve the problem.
Question 13.
Rusty saw that the house numbers on a street were in a pattern. First he saw the number 101. Then he saw the numbers 103, 105, and 107. There was a missing number, and then the number 111. What was the missing number?
101, 103, 105, 107, ☐, 111