The subtraction of integers is obtained by adding the additive inverse of the subtrahend to the minuend.

**a − b = a + (−b)**

7 − 5 = 2

7 − (−5) = 7 + 5 = 12

### Properties of the Subtraction of Integers

## 1.

Closure:

**A − b **

10 − (5)

## 2.

Is not commutative:

**a − b ≠ b − a**

5 − 2 ≠ 2 − 5

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