Properties Of Addition Of Integers

The addition properties for whole numbers are valid for integers.

Closure Property: The sum of any 2 integers results in an integer.

For instance, 12 + 3 = 15 and 15 is an integer.

In the same way, 17 + (- 20) = – 3 and -3 is an integer.

Commutative property: Even if the order of addition is changed, the total of any 2 integers is the same.

For instance, – 19 + 15 = 15 + (- 19) = – 4

Associative property: The grouping of the integers does not matter when the total of 3 or more integers is computed.

For example, – 13 + (- 15 + 16) = (- 13 + (- 15)) + 16 = – 12

Additive identity: When the sum of zero with any integer is taken, the resultant answer is an integer. The additive identity is the integer zero.

For instance, 0 + 15 = 15

Additive inverse: For each integer, when an integer is added to that integer results in 0. The two converse integers are termed additive inverse of one another.

For instance, 9 + (- 9) = 0.