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Question

Integers are commutative under ..............
  1. addition
  2. division
  3. subtraction
  4. none of these

A
addition
B
division
C
none of these
D
subtraction
Solution
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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

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