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Subtracting Integers (2-3)

Subtracting Integers

Vocabulary:

Integers - The set of whole numbers and their opposites.
Absolute Value - The positive or negative integers distance from zero on the number line.
                             (Think spaces from 0). The absolute value is always positive or zero.
Inverse Operations - Addition and  Subtraction are the opposite of each other, they are the inverse
                                  operation of each other. Therefore, when subtracting a number, add its opposite.
Examples:

Negative - Positive = Negative

(- 5) - 3 = -5 + (-3) = -8

Positive - Negative = Positive + Positive = Positive

5 - (-3) = 5 + 3 = 8

Negative - Negative = Negative + Positive = Use the sign of the larger number and subtract (Change double negatives to a positive)

(-5) - (-3) = ( -5) + 3 = -2
(-3) - ( -5) = (-3) + 5 = 2
  

     Subtracting Integers
Subtract Add The Opposite Result
+9 - +4 = +9 + -4 = +5
+9 - -4 = +9 + +4 = +13
-9 - +4 = -9 + -4 = -13
-9 - -4 = -9 + +4 = -5

Use the number line for adding and subtracting integers:
  1. Add a positive integer by moving to the right on the number line.
  2. Add a negative integer by moving to the left on the number line.
  3. Subtract an integer by adding its opposite.
http://www.math.com/school/subject1/lessons/S1U1L11GL.html

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