# McGraw Hill Math Grade 6 Lesson 16.2 Answer Key Commutative and Associative Properties

Practice questions available in McGraw Hill Math Grade 6 Answer Key PDF Lesson 16.2 Commutative and Associative Properties will engage students and is a great way of informal assessment.

## McGraw-Hill Math Grade 6 Answer Key Lesson 16.2 Commutative and Associative Properties

Exercises

IDENTIFY THE PROPERTY
Question 1.
3 × 4 × 2 = 2 × 4 × 3
3 × 4 × 2 = 2 × 4 × 3 = 24.
Associative property.

Explanation:
The associative property, in Math, states that while adding or multiplying numbers, the way in which numbers are grouped by brackets (parentheses), does not affect their sum or product.
3 × 4 × 2 = 2 × 4 × 3
= 8 × 3
= 24.

Question 2.
1 + 9 + 22 = 22 + 9 + 1
1 + 9 + 22 = 22 + 9 + 1 = 32.
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.
1 + 9 + 22 = 22 + 9 + 1
= 31 + 1
= 32.

Question 3.
2 + 3 + 3 + 2 = 2 + (3 + 3) + 2
2 + 3 + 3 + 2 = 2 + (3 + 3) + 2 = 10.
Associative property.

Explanation:
The associative property, in Math, states that while adding or multiplying numbers, the way in which numbers are grouped by brackets (parentheses), does not affect their sum or product.
2 + 3 + 3 + 2 = 2 + (3 + 3) + 2
= 2 + 6 + 2
= 8 + 2
= 10.

Question 4.
4 × 2 + 2 × 3 = 2 × 4 + 3 × 2
4 × 2 + 2 × 3 = 2 × 4 + 3 × 2 = 14.
Associative property.

Explanation:
The associative property, in Math, states that while adding or multiplying numbers, the way in which numbers are grouped by brackets (parentheses), does not affect their sum or product.
4 × 2 + 2 × 3 = 2 × 4 + 3 × 2
= 8 + 6
= 14.

Question 5.
7 × 2 × 7 = 7 × (2 × 7)
7 × 2 × 7 = 7 × (2 × 7) = 98.
Associative property.

Explanation:
The associative property, in Math, states that while adding or multiplying numbers, the way in which numbers are grouped by brackets (parentheses), does not affect their sum or product.
7 × 2 × 7 = 7 × (2 × 7)
= 7 × 14
= 98.

Question 6.
7 × 7 × 8 × 7 = 8 × 7 × 7 × 7
7 × 7 × 8 × 7 = 8 × 7 × 7 × 7 = 2,744.
Associative property.

Explanation:
The associative property, in Math, states that while adding or multiplying numbers, the way in which numbers are grouped by brackets (parentheses), does not affect their sum or product.
7 × 7 × 8 × 7 = 8 × 7 × 7 × 7
= 56 × 49
= 2,744.

Question 7.
(9 + 7) + 6 = 9 + (7 + 6)
(9 + 7) + 6 = 9 + (7 + 6) = 22.
Associative property.

Explanation:
The associative property, in Math, states that while adding or multiplying numbers, the way in which numbers are grouped by brackets (parentheses), does not affect their sum or product.
(9 + 7) + 6 = 9 + (7 + 6)
= 9 + 13
= 22.

Question 8.
4 × 5 × 5 × 4 = 5 × 5 × 4 × 4
4 × 5 × 5 × 4 = 5 × 5 × 4 × 4 = 400.
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.
4 × 5 × 5 × 4 = 5 × 5 × 4 × 4
= 25 × 16
= 400.

Question 9.
2 + 6 + 8 + 3 = 6 + 3 + 8 + 2
2 + 6 + 8 + 3 = 6 + 3 + 8 + 2 = 19.
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.
2 + 6 + 8 + 3 = 6 + 3 + 8 + 2
= 9 + 8 + 2
= 17 + 2
= 19.

Question 10.
(6 × 4) × 2 = 6 × (4 × 2)
(6 × 4) × 2 = 6 × (4 × 2) = 48.
Associative property.

Explanation:
The associative property, in Math, states that while adding or multiplying numbers, the way in which numbers are grouped by brackets (parentheses), does not affect their sum or product.
(6 × 4) × 2 = 6 × (4 × 2)
= 6 × 8
= 48.

Question 11.
12 + 13 + 13 + 12 = 12 + 12 + 13 + 13
12 + 13 + 13 + 12 = 12 + 12 + 13 + 13 = 50.
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 + 13 + 13 + 12 = 12 + 12 + 13 + 13
= 24 + 13 + 13
= 37 + 13
= 50.

Question 12.
7 × 8 + 8 × 7 = 8 × 7 + 8 × 7