McGraw Hill Math Grade 4 Chapter 3 Lesson 5 Answer Key Identity and Commutative Properties of Multiplication

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McGraw-Hill Math Grade 4 Answer Key Chapter 3 Lesson 5 Identity and Commutative Properties of Multiplication

Identify the property used in each number sentence.

Question 1.
899 × 1 = 899
Identity
Answer:
899 × 1 = 899
Identity property.

Explanation:
The identity property of 1 says that any number multiplied by 1 keeps its identity. In other words, any number multiplied by 1 stays the same.
899 × 1 = 899.

Question 2.
12 × 49 = 49 × 12
Answer:
12 × 49 = 49 × 12 = 588.
Commutative property.

Explanation:
The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer.
12 × 49 = 49 × 12
= 588.

Question 3.
24 × 16 = 16 × 24
Answer:
24 × 16 = 16 × 24 = 384.
Commutative property.

Explanation:
The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer.
24 × 16 = 16 × 24
= 384.

Question 4.
2455 × 1 = 2455
Answer:
2455 × 1 = 2455.
Identity property.

Explanation:
2455 × 1 = 2455.
The identity property of 1 says that any number multiplied by 1 keeps its identity. In other words, any number multiplied by 1 stays the same.

Solve.
Question 5.
Mr. Hunt’s class has 28 students. He wants to put the desks in equal groups. The desks are already in 4 rows of 7 each. What is another way he can arrange the desks?
Answer:
Another ways he can arrange the desks:
2 rows 14 desks in each.
7 rows 4 desks in each.
14 rows 2 desks in each.

Explanation:
Number of students Mr. Hunt’s class has = 28.
The desks are already in 4 rows of 7 each.
Factors of 28:
1 × 28 = 28.
2 × 14 = 28.
4 × 7 = 28.

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