Question

the associative property does not hold true for the divison of integers?

Answer 1

Answer:

Associative property:

Associative law states that the order of grouping the numbers does not matter. This law holds for addition and multiplication but it doesn’t hold for subtraction and division. This can be observed from the following examples.

ADDITION:

a+ (b+c) = (a+b) + c

Example:

2+ (3+4) = (2+3) + 4

2+7 = 5+4

9 = 9.

So, associative law holds for addition.

SUBTRACTION:

a-(b-c) ≠ (a-b) – c.

Example:

2- (3-4) = (2-3) – 4

2 + 1 = -1-4

3 = -5, which is not true.

So, associative law doesn’t hold for subtraction.

MULTIPLICATION:

a x (b x c) = (axb) x c

Solution:

2 x (3×4) = (2×3) x 4

2 x 12 = 6 x 4

24 = 24.

So, associative law holds for multiplication.

DIVISION:

a ÷ (b ÷ c) ≠ (a ÷ b) ÷ c

Example:

8 ÷ (4 ÷ 2) = (8÷4) ÷ 2

8 ÷ 2 = 2 ÷ 2

4 =1, which is not true.

So, associative law doesn’t hold for division.

Step-by-step explanation:

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