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Objective - To subtract integers.

Learn how to subtract integers by adding the opposite. Simplify expressions and combine integers to solve problems.

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Objective - To subtract integers.

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  1. Rewrite the subtraction by adding the opposite. Simplify. 1) 6 - 2 2) -4 - (-10) Objective - To subtract integers. To subtract an integer is to add its opposite. a - b = a + -b 7 - 10 = 7 + -10 8 - (-5) = 8 + 5 = 6 + -2 = 4 = -4 + (10) = 6

  2. Multiple Signed Numbers 1 = +1 + +1 = +1 +-1 = -1 + + + -1 = -1 Odd # of Negatives = Negative Even # of Negatives = Positive +-+ 1 = -1 - -1 = +1 + + - -1 = +1 - - - 1 = -1 - - - -1 = +1 - - - - -1 = -1

  3. Simplify the following. 1) -8 - -5 = 7) -6 - -14 = 8 -3 2) 14 - -7 = 21 8) -7 - -7 = 0 3) -6 - 5 = -11 9) 9 - 6 - -7 = 10 4) -4 - -11 = 7 10) -4 - -9 - 3 = 2 5) -7 + -2 = -9 11) -13 + -2 - -1 = -14 6) 3 - -7 = 10 12) 6 - -3 - 5 = 4

  4. Subtracting Integers on a Number Line -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 +2 6 - 4 = +2

  5. Subtracting Integers on a Number Line -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 +9 6 - 4 = +2 6 - (-3) = 6 - (-3) = +9

  6. Subtracting Integers on a Number Line -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 +3 6 - 4 = +2 6 - (-3) = -1 - (-4) = 6 - (-3) = +9 -1 - (-4) = +3

  7. Combine the following integers. +7 -8 1) -3 - - 10 = 8) -14 - - 6 = 2) +6 - - 9 = +15 9) +7 - - 5 = +12 -11 -15 3) -4 +-7 = 10) -7 +-8 = -2 -2 4) +6 - 8 = 11) -6 - - 4 = +9 +11 5) -3 - - 12 = 12) -5 + 16 = 6) -7 - 12 = -19 13) -17 -- 12 = -5 7) +5 - -18 = +23 14) +13 -- 4 = +17

  8. Evaluate the expression when x = -3 1) 4) 2) 5) 3) 6)

  9. Decide whether the statement is true always, sometimes, or never. 1) 3) Always Always 2) 4) Never Sometimes

  10. Combine the following rational numbers.

  11. Combine the following rational numbers.

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