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Unit 1: Integers

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Subtracting Integers can be tough; however, the trick is to make the subtraction problem into an addition problem! 5- -6 = ______Can be rewritten as5+6= ______ 5- 6 = ______ Can be rewritten as 5 + -6= ______ -5 + -6 = ______ -5 - 6= ______ -5 - -6= ______ -5 + 6= ______

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Whenever you subtract, it’s the same as adding the opposite. 3 -2 = ____ Whenever you subtract by a positive number, it’s the same as adding a negative number. -3 - 2 = ____ 3 + -2 = ____ -3 + -2 = ____

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Whenever you have two negatives next to each other, make them both positive! 3 - -2 = ____ -3 - -2 = ____ 3 +2 = ____ -3 +2 = ____

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That’s it! Here are some more practice problems to try… -10 - 8 = ____ 5 - -7 = ____ -7 - -10 = ____ -6 - 4 = ____ 8 - 10 = ____ 4 - -10 = ____ -5 - -5 = ____ -5 - 5 = ____ -18 12 3 -10 -2 14 0 -10

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Still having trouble? Look at these four subtraction problems: 5 – 3 = ____ This can be re-written as: 5 + -3 =____ So the answer is 2. -5 - -3 = ___ This can be re-written as: -5 + 3 = ___ So the answer is -2. 5- -3 = ___ This can be re-written as: 5 +3 = ___ So the answer is 8. -5 - 3 = ___ This can be re-written as: -5 + -3 = ___ So the answer is -8. These are the only 4 types of subtraction problems you will ever see!

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5 - 3 = 2 For a problem like this, you can either draw a number line or watch this little demo: 1 2 3 5 0 4 First, you go up 5 Then, you go down 3

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-5 - 3 = -8 For a problem like this, you can either draw a number line or watch this little demo: -4 -3 -2 0 -5 -6 Starting from zero, we go down to negative 5. Then, since we are subtracting, we go down 3 more. -7 -8 -9 So, we end at -8. Notice, we started with a negative, and subtracting a positive just gave us a bigger negative!

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I hope this helps! Just remember: A subtraction problem can always be written as an addition problem (change the minus sign to a plus and take the opposite of the next number)! If you minus a negative, you can turn both of those into positive signs!

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This has been a Rockin’ Presentation by: Mr. Lattyak

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