Table of Contents
- Commutative Property of Integers
- Addition
- Subtraction
- Multiplication
- Division
- Summary
- What’s Next?
In the previous segment, we learned about the Closure property of integers. In this segment, we will learn about the Commutative property of integers.
Commutative property of integers
We know that addition and multiplication of whole numbers show the commutative property. That means the order in which the numbers are added or multiplied does not affect the final result. On the other hand, this property does not hold true for subtraction and division of whole numbers.
Let us test whether these properties hold true or not on integers.
Addition
Given below are two examples of the addition of integers.
(−5) + 3 = −2
(−7) + (−8) = −15
If the position of the two integers are swapped and then they are added, we get,
3 + (−5) = −2
(−8) + (−7) = −15
In both cases, irrespective of the order in which the integers are added, the answer remains the same.
So we can say that, if a and b are Integers, then a + b = b + a.
Thus, the mathematical operation of addition is commutative for integers.
