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Mulitply-divide integers.ppt

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This document discusses the rules for multiplying and dividing signed integers. It states that when multiplying or dividing two positive integers or two negative integers, the solution is positive. However, when multiplying or dividing one positive and one negative integer, the solution is always negative.

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Multiplying and Dividing Signed Integers
When we multiply or divide two integers, the sign rules are different than when we add or subtract signed numbers. When we multiply or divide two positive integers, the solution is positive. 7 6 = 42 2 9 = 18 20 1 = 20 Positive * Positive 12 歎 3 = 4 16 歎 8 = 2 8 歎 8 = 1
When we multiply or divide two negative integers, the solution is also positive. (-7) (-6) = 42 (-2) (-9) = 18 (-20) (-1) = 20 Negative * Negative (-12) 歎 (-3) = 4 (-16) 歎 (-8) = 2 (-8) 歎 (-8) = 1
When we multiply or divide one positive & one negative integer, the solution is always negative, regardless of which is larger or which is written first. (-7) 6 = - 42 2 (-9) = -18 20 (-1) = -20 Positive * Negative 12 歎 (-3) = - 4 (-16) 歎 8 = -2 (-8) 歎 8 = -1
Summary Adding Integers: Positive + Positive = Positive Negative + Negative = Negative Positive + Negative = Sign of Larger # Subtracting Integers: Keep - Change - Change Multiplying/Dividing Integers: Positive + Positive = Positive Negative + Negative = Positive Positive + Negative = Negative
Multiply or divide. 1. (-10)3 2. (-4)(-3) 3. 7(-2) 4. 5(-2) 5. (-18)歎(-3) 6. (-20)歎2 Simplify each expression. 7. (3)(-5x) 8. (-2)(-3y) 9. (-1)(7x) 10. (10)(-5c) You Try It!
Solutions = -30 = 12 = -14 = 6 = -10 = -10 1. (-10)3 2. (-4)(-3) 3. 7(-2) 4. 5(-2) 5. (-18)歎(-3) 6. (-20)歎2
Solutions = -15x = -7x = 6y = -50c 7. (3)(-5x) 8. (-2)(-3y) 9. (-1)(7x) 10. (10)(-5c)

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Mulitply-divide integers.ppt

  • 2. When we multiply or divide two integers, the sign rules are different than when we add or subtract signed numbers. When we multiply or divide two positive integers, the solution is positive. 7 6 = 42 2 9 = 18 20 1 = 20 Positive * Positive 12 歎 3 = 4 16 歎 8 = 2 8 歎 8 = 1
  • 3. When we multiply or divide two negative integers, the solution is also positive. (-7) (-6) = 42 (-2) (-9) = 18 (-20) (-1) = 20 Negative * Negative (-12) 歎 (-3) = 4 (-16) 歎 (-8) = 2 (-8) 歎 (-8) = 1
  • 4. When we multiply or divide one positive & one negative integer, the solution is always negative, regardless of which is larger or which is written first. (-7) 6 = - 42 2 (-9) = -18 20 (-1) = -20 Positive * Negative 12 歎 (-3) = - 4 (-16) 歎 8 = -2 (-8) 歎 8 = -1
  • 5. Summary Adding Integers: Positive + Positive = Positive Negative + Negative = Negative Positive + Negative = Sign of Larger # Subtracting Integers: Keep - Change - Change Multiplying/Dividing Integers: Positive + Positive = Positive Negative + Negative = Positive Positive + Negative = Negative
  • 6. Multiply or divide. 1. (-10)3 2. (-4)(-3) 3. 7(-2) 4. 5(-2) 5. (-18)歎(-3) 6. (-20)歎2 Simplify each expression. 7. (3)(-5x) 8. (-2)(-3y) 9. (-1)(7x) 10. (10)(-5c) You Try It!
  • 7. Solutions = -30 = 12 = -14 = 6 = -10 = -10 1. (-10)3 2. (-4)(-3) 3. 7(-2) 4. 5(-2) 5. (-18)歎(-3) 6. (-20)歎2
  • 8. Solutions = -15x = -7x = 6y = -50c 7. (3)(-5x) 8. (-2)(-3y) 9. (-1)(7x) 10. (10)(-5c)