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Math K-Plus

# Subtracting Integers Rules

## 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:

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