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**11-3: Subtracting Integers**

The University of Texas at Dallas

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**2 ways to help you subtract integers.**

1. Use Color Counters 2. Mentally

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**SUBTRACTING INTEGERS (using color counters)**

We often think of subtraction as a “take away” operation. Which diagram could be used to compute = ? +3 +3 The University of Texas at Dallas

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**SUBTRACTING INTEGERS (using color counters)**

This diagram shows adding 2 zero pairs. Now we can take 5 yellow tiles away, we have 2 red tiles left. We can’t take away 5 yellow tiles from this diagram. There is not enough tiles to take away!! The University of Texas at Dallas

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**SUBTRACTING INTEGERS (using color counters)**

Use your red and yellow tiles to model each subtraction problem. = ? ANSWER The University of Texas at Dallas

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**-2 - -4 = +2 SUBTRACTING INTEGERS Now you can take away 4 red tiles.**

2 yellow tiles are left, so the answer is… This representation of -2 doesn’t have enough tiles to take away -4. If you add 2 zero pairs(adding zero) you would have a total of 4 red tiles and the tiles still represent -2. = +2 The University of Texas at Dallas

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**SUBTRACTING INTEGERS (using color counters)**

Work this problem. = ? ANSWER The University of Texas at Dallas

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**+3 - -5 = +8 SUBTRACTING INTEGERS**

Add enough zero pairs so you can take away 5 red tiles. Take away 5 red tiles, you have 8 yellow tiles left. = +8 The University of Texas at Dallas

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**SUBTRACTING INTEGERS (using color counters)**

Work this problem. = ? ANSWER The University of Texas at Dallas

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**-3 - +2 = -5 SUBTRACTING INTEGERS**

Add two zero pairs so you can take away 2 yellow tiles. Take away 2 yellow tiles, you have 5 red tiles left. = -5 The University of Texas at Dallas

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**Subtracting Integers Mentally, then check using color counters.**

When you subtract integers you…….. ADD the OPPOSITE !!!! 9 – (-2) +3 – (-1) -5 – (-8) -7 - 6

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Practice Time P 585 # 1-7

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Integer Rules Adding Integers (+) + (+) = (+) A positive plus a positive is positive. (-) + (-) = (-) A negative plus a negative is negative. (+)

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