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Published byEthan Hamilton Modified over 8 years ago
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Adding Integers
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Using Two Coloured Counters We can model integer addition with tiles. Represent -2 with the fewest number of tiles Represent +5 with the fewest number of tiles.
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Write the number sentence that is illustrated. +3+3-2 + 5 =
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Use your red and yellow tiles to find each sum. -2 + -3 = ? + = -5 -2 + -3 = - 5
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- 6 + + 2 = ? + = - 4 + = +1+1 - 3 + + 4 = ? - 6 + + 2 = - 4 - 3 + + 4 = + 1
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Using a Number Line 0123456-2-3-4-5-6 Start at zero (0) When the number is positive count to the right. When the number is negative count to the left. +-
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0123456-2-3-4-5-6 + - +6 + (-4) =+2
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0123456-2-3-4-5-6 + - +3 + (-5) =-2
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0123456-2-3-4-5-6 + - +3 + (-7) = -4
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0123456-2-3-4-5-6 - + -3 + (+7) =+4
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0123456-2-3-4-5-6 - + -2 + (+8) = +6
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0123456-2-3-4-5-6 - + -5 + (+3) = -2
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0123456-2-3-4-5-6 - + -5 + (+2) = -3
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0123456-2-3-4-5-6 - - -4 + (-2) = -6
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0123456-2-3-4-5-6 - - -2 + (-3) = -5
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0123456-2-3-4-5-6 - - -1 + (-4) =-5
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0123456-2-3-4-5-6 - - -4 + (-1) = -5
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0123456-2-3-4-5-6 + + 4 + 1 =5
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0123456-2-3-4-5-6 + + 3 + 2 =5
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0123456-2-3-4-5-6 + + 1 + 5 =6
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Integer Addition Rules Rule #1 Signs the Same, Ignore signs Add the numbers Put sign back in the answer 9 + 5 = 14 -9 + -5 = -14
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Rule #2 Signs Different Ignore signs Subtract the smaller number from the larger number Put the sign of the larger number with your answer. -9 + (+5) = 9 - 5 = 4 Larger number Answer = - 4
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Solve the Problems -3 + -5 = 4 + 7 = (+3) + (+4) = -6 + -7 = 5 + 9 = -9 + -9 = -8 -18 14 -13 7 11
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Solve These Problems 3 + -5 = -4 + 7 = (+3) + (-4) -6 + 7 = 5 + -9 = -9 + 9 = -2 5 – 3 = 2 0 -4 1 3 9 – 9 = 0 9 – 5 = 4 7 – 6 = 1 4 – 3 = 1 7 – 4 = 3
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