 # Subtracting Integers. What’s the difference between 7 - 3 and 7 + (-3) ? 7 - 3 = 4 and 7 + (-3) = 4 The only difference is that 7 - 3 is a subtraction.

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Subtracting Integers

What’s the difference between 7 - 3 and 7 + (-3) ? 7 - 3 = 4 and 7 + (-3) = 4 The only difference is that 7 - 3 is a subtraction problem and 7 + (-3) is an addition problem. “SUBTRACTING IS THE SAME AS ADDING THE OPPOSITE.” (Keep-change-change)

The Colonel’s Rule

When subtracting, change the subtraction to adding the opposite (keep-change-change) and then follow your addition rule. Example #19 – 4 9 + (-4) Diff Signs--> so we Subtract and use larger sign 5 Example #2 12 – (-5) 12 + (+5) Same Signs --> so we Add and keep the sign 17

When subtracting, change the subtraction to adding the opposite (keep-change-change) and then follow your addition rule. Example #3: - 4 - (-7) - 4 + (+7) Diff. Signs --> Subtract and use larger sign. 3 Example #4: - 3 - 7 - 3 + (-7) Same Signs --> Add and keep the sign. -10

When subtracting, change the subtraction to adding the opposite (keep-change-change) and then follow your addition rule. Example #5 5 – (-2) – 6

Which is equivalent to -12 – (-3)? Answer Now 1.12 + 3 2.-12 + 3 3.-12 - 3 4.12 - 3

7 – (-2) = ? Answer Now 1.-9 2.-5 3.5 4.9

Practice 5 – 2 7 – 5 8 – (-3) 12 – (-9) -16 – 8 -21 – 12 -45 – (-26) - 36 – (-18) 6 – (-9) – 8 -12 – 5 – (-9)

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