dividing rational numbers lesson 9. dividing integers ► positive ÷ positive = positive ►...

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  • Slide 1
  • DIVIDING RATIONAL NUMBERS LESSON 9
  • Slide 2
  • Dividing Integers Positive Positive = Positive Positive Negative = Negative Negative Negative = Positive Negative Positive = Negative An odd number of Negatives divided together gives a negative result. An even number of Negatives divided together gives a positive result.
  • Slide 3
  • EXAMPLES: (10) (+5) Positive Positive (+36) (-6) Positive Negative (-12) (-3) Negative Negative (-54) (+9) Negative Positive (-12) (-2) (-3) Odd number of Negatives (-60) (-2) (-3) (-2) Even number of Negatives
  • Slide 4
  • EXAMPLES: (10) (+5) = 2 Positive Positive = Positive (+36) (-6) Positive Negative (-12) (-3) Negative Negative (-54) (+9) Negative Positive (-12) (-2) (-3) Odd number of Negatives (-60) (-2) (-3) (-2) Even number of Negatives
  • Slide 5
  • EXAMPLES: (10) (+5) = 2 Positive Positive (+36) (-6) = -6 Positive Negative = Negative (-12) (-3) Negative Negative (-54) (+9) Negative Positive (-12) (-2) (-3) Odd number of Negatives (-60) (-2) (-3) (-2) Even number of Negatives
  • Slide 6
  • EXAMPLES: (10) (+5) = 2 Positive Positive (+36) (-6) = -6 Positive Negative (-12) (-3) = 4 Negative Negative = Positive (-54) (+9) Negative Positive (-12) (-2) (-3) Odd number of Negatives (-60) (-2) (-3) (-2) Even number of Negatives
  • Slide 7
  • EXAMPLES: (10) (+5) = 2 Positive Positive (+36) (-6) = -6 Positive Negative (-12) (-3) = 4 Negative Negative (-54) (+9) = - 6 Negative Positive = Negative (-12) (-2) (-3) Odd number of Negatives (-60) (-2) (-3) (-2) Even number of Negatives
  • Slide 8
  • EXAMPLES: (10) (+5) = 2 Positive Positive (+36) (-6) = -6 Positive Negative (-12) (-3) = 4 Negative Negative (-54) (+9) = - 6 Negative Positive (-12) (-2) (-3) = - 2 Odd number of Negatives = Negative (-60) (-2) (-3) (-2) Even number of Negatives
  • Slide 9
  • EXAMPLES: (10) (+5) = 2 Positive Positive (+36) (-6) = -6 Positive Negative (-12) (-3) = 4 Negative Negative (-54) (+9) = - 6 Negative Positive (-12) (-2) (-3) = - 2 Odd number of Negatives (-60) (-2) (-3) (-2) = 5 Even number of Negatives = Positive
  • Slide 10
  • DIVIDING RATIONAL NUMBERS Change the fraction after the division sign to its Reciprocal and multiply the fractions by: Change the fraction after the division sign to its Reciprocal and multiply the fractions by: Multiply the numerators of the fractions Multiply the numerators of the fractions Multiply the denominators of the fractions Multiply the denominators of the fractions Place the product of the numerators over the product of the denominators Place the product of the numerators over the product of the denominators Simplify the Fraction Simplify the Fraction
  • Slide 11
  • EXAMPLE -3 5 4949 -2 -5 6767 -4 -7 -8 13
  • Slide 12
  • EXAMPLE -3 5 4949 -3 5 9494 x -2 -5 6767 -4 -7 -8 13
  • Slide 13
  • EXAMPLE -3 5 4949 -3 5 9494 x -27 20 -2 -5 6767 -4 -7 -8 13
  • Slide 14
  • EXAMPLE -3 5 4949 -3 5 9494 x -27 20 -2 -5 6767 -4 -7 -8 13 7 20
  • Slide 15
  • EXAMPLE -3 5 4949 -3 5 9494 x -27 20 -2 -5 6767 -4 -7 -8 13 7 20 -2 -5 x 7676
  • Slide 16
  • EXAMPLE -3 5 4949 -3 5 9494 x -27 20 -2 -5 6767 -4 -7 -8 13 7 20 -2 -5 x 7676 14 30 Notice the fraction is positive
  • Slide 17
  • EXAMPLE -3 5 4949 -3 5 9494 x -27 20 -2 -5 6767 -4 -7 -8 13 7 20 -2 -5 x 7676 14 30 7 15
  • Slide 18
  • EXAMPLE -3 5 4949 -3 5 9494 x -27 20 -2 -5 6767 -4 -7 -8 13 7 20 -2 -5 x 7676 14 30 7 15 4747 x -13 8 Notice the negative stays in the numerator Notice the negative stays in the numerator. Becomes Positive
  • Slide 19
  • EXAMPLE -3 5 4949 -3 5 9494 x -27 20 -2 -5 6767 -4 -7 -8 13 7 20 -2 -5 x 7676 14 30 7 15 4747 x -13 8 -52 56
  • Slide 20
  • EXAMPLE -3 5 4949 -3 5 9494 x -27 20 -2 -5 6767 -4 -7 -8 13 7 20 -2 -5 x 7676 14 30 7 15 4747 x -13 8 -52 56 -13 14
  • Slide 21
  • MORE EXAMPLES 3535 3535 -8 5 3535 Change Mixed to an Improper. -8 5 x 5353 Reciprocal. -40 15 = -8 3 = -2 2323