Is Subtracting Integers Just Like Adding Integers?

Subtaction is Exactly the Same as Adding Except...

Before You Look at the Signs You;

KEEP, CHANGE, CHANGE

Keep the 1st Integer the Same

Change the Operation Sign to Addition

Change the Sign of the Second Integer

THEN USE the RULES for ADDITION of INTEGERS

Step 1: Look At Signs of Numbers

If they are the SAME:

  • Add Together & Keep the Sign the same.

2 + 5 = 7

(-7) + (-2) = - 9

If the Signs are DIFFERENT:

  • Find Number with Largest Absolute Value
  • Subtract Smallest Absolute Value from Largest Absolute Value

The answer takes the sign of the Largest Absolute Value

8 + (-17) = ?

  • The absolute values of 8 and -17 are 8 and 17.
  • Subtracting the smaller from the larger gives 17 - 8 = 9, and since the larger absolute value was 17, we give the result the same sign as -17, so 8 + (-17) = -9.

 

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