Question

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Answer 1

Step-by-step explanation:

1) associative property does not work for division because

= 20 ÷ 4 = 4 ÷ 20

= 5 ≠ 0.2

2)

a. ADDITION :

commutative property

sum of integers is an integer

2 + 3 = 5

5 is an integer

Hence addition of integers is commutative

associative property

a + b = b + a

2 + 3 = 3 + 2

5 = 5

Hence addition of integers is associative

b. SUBRACTION

commutative property

difference of integers is an integer

2 - 3 = - 1

-1 is an integer

Hence subtraction of integers is commutative

associative property

a - b ≠ b - a

2 - 3 = 3 - 2

-1 ≠ 1

Hence subtraction of integers is not associative

c. MULTIPLICATION

commutative property

product of integers is an integer

2 × 3 = 6

6 is an integer

Hence multiplication of integers is commutative

associative property

a × b = b × a

2 × 3 = 3 × 2

6 = 6

Hence multiplication of integers is associative

d. DIVISION

commutative property

quotient of two integers is an quotient

20 ÷ 4 = 5

5 is an integer

Hence division of integers is commutative

associative property

a ÷ b ≠ b ÷ a

20 ÷ 4 = 4 ÷ 20

5 ≠ 0.2

Hence division of integers is not associative