Question

4. The properties that are not true for the subtraction of integers are________ and __________
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Answer 1

Commutative property states that there is no change in result though the numbers in an expression are interchanged. Commutative property holds for addition and multiplication but not for subtraction and division.

Answer 2

Answer:

The properties that are not true for the subtraction of integers are :

1. Commutative property
2. Associative property

Step-by-step explanation:

1. Commutative property :-

Let A and B be two numbers.

(A - B) and (B - A) are not equal.

For example, A = 4 and B = 7

Then, A - B = 4 - 7 = -3

But, B - A = 7 - 4 = 3

So, 3 ≠ -3. So, A - B ≠ B - A.

2. Associative property :-

Let A, B and C be three numbers.

(A - B) - C = A - B - C.

A - (B - C) = A - B + C.

Both are not equal.

For example, A = 7, B = 4 and C = 15

Then, (A - B) - C = A - B - C = 7 - 4 - 15 = -18

But, A - (B - C) = A - B + C = 7 - 4 + 15 = 18

So, -18 ≠ 18.

So, (A - B) - C ≠ A - (B - C).

Hope it helps...