## What Are The Rules For **Subtracting Integers**?

Let's talk about **Subtracting Integers** Rules.

Before we begin, here are the rules for subtracting integers:
- Two integers are subtracted with the same sign produces a result with the same sign.
- Subtract two integers with different signes produces a result with the sign of the larger number.

Subtracting integer examples:

**Subtracting Any Signed Number:**

(a) -5 - (-14) =

-5 + 14 =

14 - 5 = +8 = 8

(b) -5 - (+14) =

-5 - 14 =

-14 - 5 = -19

**Subtracting Quantities In Parentheses:**

Tip: Distribute the negative sign by flipping the sign
on *every* term inside the parentheses:

(a) 3 - (5 - 1) =

3 + -5 + 1 = -1

(b) 3 - (5 - 1) =

3 + (-5 + 1) =

3 + (-4) =

3 - 4 =

-4 + 3 = -1

**Subtracting Product Quantities In Parentheses:**

Tip: Flip the sign only once for a product of two numbers.

(a) 4 - (-5 × (-3)) =

4 + (+5 × (-3)) =

4 + (-15) =

-15 + 4 = -11

(b) 4 - (3 - 5 × (-3)) =

4 + (-3 + 5 × (-3)) =

4 + (-3 - 15) =

4 -18 =

-18 + 4 = -14

Here is more on how to use signed numbers: