We included HMH Into Math Grade 4 Answer Key PDF Module 4 Review to make students experts in learning maths.

Vocabulary

Commutative
Property
compatible
numbers
Distributive
Property
place value

Choose the correct term from the Vocabulary box to complete the sentence.

Question 1.
Numbers that are easy to use for mental computation are called ____.
Explanation:
Compatible numbers are pairs of numbers that are easy to add, subtract, multiply, or divide mentally.

Question 2.
The ___ states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products.
Explanation:
The Distributive Property states that when you multiplying a sum by a number is the same as multiplying each addend in the sum by the number and then adding the product.

Question 3.
The ____ of Multiplication states that when the order of the factors is changed, the product in the same.
Explanation:
Commutative property of multiplication states that the answer remains the same when multiplying numbers, even if the order of numbers are changed. Changing the order of multiplication doesn’t change the product. For instance, Example 1- Let us consider two numbers 3 and 5.

Concepts and Skills

Use Tools Complete the pattern. Name the strategy or tool you will use to solve the problem, explain your choice, and then find the answer.

Question 6.
6 × 5 = ___
6 × 50 = ____
6 × 500 = ___
6 × 5,000 = ___
6 × 5 = 30
6 × 50 = 300
6 × 500 = 3000
6 × 5,000 = 30,000
Explanation:
6 x 5 = 30
Multiplied by the place value number.

Question 5.
56 ÷ 8 = ___
560 ÷ 8 = ____
5,600 ÷ 8 = ____
56 ÷ 8 = 7
560 ÷ 8 = 70
5,600 ÷ 8 = 700
Explanation:
56 ÷ 8 = 7
Divided by the place value number.

Use place value and patterns to find the product or the quotient.

Question 6.
7 × 300 = ___
7 × 3 = 2100
Explanation:
7 × 3 = 21
Multiplied by the place value number.

Question 7.
2,400 ÷ 6 = ___
2,400 ÷ 6 = 400
Explanation:
24 ÷ 6 = 4
Divided by the place value number.

Estimate the product.

Question 8.
4 × 3,189
_______
4 × 3,189 = 12,000
Explanation:
3,189 is rounded to 3000
4 x 3 = 12
To estimate the product, we first round off the multiplier and the multiplicand to the nearest tens,
hundreds, or thousands and then multiply the rounded numbers.

Question 9.
8 × 591
_______
8 x 600 = 4800
Explanation:
591 is rounded to 600
8 x 6 = 48
To estimate the product, we first round off the multiplier and the multiplicand to the nearest tens,
hundreds, or thousands and then multiply the rounded numbers.

Question 10.
3 × 627
_____
3 x 600 = 1800
Explanation:
627 is rounded to 600
3 x 6 = 18
To estimate the product, we first round off the multiplier and the multiplicand to the nearest tens,
hundreds, or thousands and then multiply the rounded numbers.

Estimate the quotient.

Question 11.
348 ÷ 7
_______
350 ÷ 7 = 50
Explanation:
348 is rounded to 350
7 x 5 = 35
To estimate the quotient, we first round off the divisor and the dividend to the nearest tens, hundreds, or thousands and then divide the rounded numbers.

Question 12.
1,812 ÷ 3
_______
1,800 ÷ 3 = 600
Explanation:
1,812 is rounded to 1,800
3 x 6 = 18
To estimate the quotient, we first round off the divisor and the dividend to the nearest tens, hundreds, or thousands and then divide the rounded numbers.

Question 13.
8,209 ÷ 9
_______
8100 ÷ 9 = 900
Explanation:
8,209 is rounded to 8100
9 x 9 = 81
To estimate the quotient, we first round off the divisor and the dividend to the nearest tens, hundreds, or thousands and then divide the rounded numbers.

Question 14.
Select all the equations that have a value of 200.
A. 5 × 40 = ___
B. 120 ÷ 6 = ___
C. 2 × 5 × 100 = ___
D. 10 × 2 × 10 = ___
E. 8,000 ÷ 4 = ____
F. 1,800 ÷ 9 = ____
A. 5 × 40 = 200
D. 10 × 2 × 10 = 200
F. 1,800 ÷ 9 = 200
Explanation:
These 3 are the equations that have a value of 200.
A. 5 × 40 = 200
B. 120 ÷ 6 = 20
C. 2 × 5 × 100 = 1000
D. 10 × 2 × 10 = 200
E. 8,000 ÷ 4 = 2000
F. 1,800 ÷ 9 = 200

Use mental math to find the product or quotient.

Question 15.
20 × 8 × 5
_______
5 x 8 = 40
40 x 20 = 800
Explanation:
Mental math in this guide refers to fact learning, mental computation, and computational estimation.

Question 16.
420 ÷ 6
_______
420 ÷ 6 = 70
Explanation:
42 ÷ 6 = 7
Mental math in this guide refers to fact learning, mental computation, and computational estimation.

Question 17.
5 × 36
_______
5 x 36 = 180
Explanation:
Mental math in this guide refers to fact learning, mental computation, and computational estimation.

Question 18.
Tickets to the carnival cost $7. The manager sells 225 tickets in one hour. Which of the following best estimates the ticket sales for that hour? A. It is between$200 and $300. B. It is between$700 and $1,400. C. It is between$1,400 and $2,100. D. It is between$2,100 and $2,800. Answer: C Explanation: 7 x 2 = 14 So, the amount must be greater than 1400 and 7 x 3 = 21 So, the amount is between 14 to 21 Question 19. Paul sells glow sticks at the fair. Each glow stick costs$3. He sells 184 glow sticks in one week. Paul says that his weekly sales are \$552. Is this reasonable? Why or why not?