Which of the following is not correct?
(A) Addition is commutative for integers
(B) Subtraction is commutative for integers
(C) Multiplication is commutative for integers
(D) Division is not commutative for integers
Answers
Step-by-step explanation:
Commutative property for addition:
Integers are commutative under addition when any two integers are added irrespective of their order, the sum remains the same.
a+b =b+a
The sum of two integer numbers is always the same. This means that integer numbers follow the commutative property.
Let’s see the following examples:
15 + 20 =35; 20 +15=35
-10 + (-5) = -15; -5 + (-10) = -15
The above examples prove that the addition of integers is commutative.
The commutative property for Subtraction:
Is the case true with subtractions? Are subtractions also commutative? The following examples will let us know this:
5-(-3) = +8
-3-5 = -8
This brings us to the conclusion that subtractions of integers are not commutative. Therefore, a-b ≠ b-a
Commutative Property of Division
This property does not apply to divisions between integers. This means that a÷b ≠b÷a
Option A is correct