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May 09, 2016 Integers Integers are all positive and negative whole numbers -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 Rules for ADDING integers: *The sum of 2 positive numbers is always positive. *The sum of 2 negative numbers is always negative. May 09, 2016 Rules for ADDING integers: *The sum of 2 opposites is always zero. What happens when the signs are different? -8 + 4 -10 -9 -8 -7 -6 -5 -4 7 + -3 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 May 09, 2016 Use the counters below to model the given expression. -5 + 4 + - +- ++- +- - Use the counters below to model the given expression. 9 + (-5) + - -+ -+ + -+ -+ +- + + + May 09, 2016 Use the counters below to model the given expression. + - + -+ 7 + (-2) + + + + + - Use the counters below to model the given expression. + - -1 + 5 -+ + + + + May 09, 2016 Use the counters below to model the given expression. -3 + 8 + - + -+ +- ++ + + + Use the counters below to model the given expression. + - +- +- +- + - -7 + 4 - - - May 09, 2016 Use the counters below to model the given expression. + -+ -+ + - + + + + 9 + (-3) + + Use the counters below to model the given expression. 5 + -8 + - -+ ++ + - - - - -+ May 09, 2016 Use the counters below to model the given expression. + + + + - + + ++- -4 + 9 ++- Steps for SUBTRACTING integers: *Subtracting a larger positive number from a smaller positive number always results in a negative number. May 09, 2016 Steps for SUBTRACTING integers: *Subtracting a positive number from a negative number gives you a negative number. Use the counters below to model the given expression. -6 - 8 ++ - - - - - - + + + ++ ++ - May 09, 2016 Use the counters below to model the given expression. 4 - (-3) + + + + + + + - --- + Use the counters below to model the given expression. + - + 2 - (-5)--- + ++ + + +