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MULTIPLYING RATIONAL NUMBERS

MULTIPLYING RATIONAL NUMBERS. LESSON 8. Multiplying Integers. Positive x Positive = Positive Positive x Negative = Negative Negative x Negative = Positive Negative x Positive = Negative An odd number of Negatives multiplied together gives a negative result.

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MULTIPLYING RATIONAL NUMBERS

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  1. MULTIPLYING RATIONAL NUMBERS LESSON 8

  2. Multiplying Integers • Positive x Positive = Positive • Positive x Negative = Negative • Negative x Negative = Positive • Negative x Positive = Negative • An odd number of Negatives multiplied together gives a negative result. • An even number of Negatives multiplied together gives a positive result.

  3. EXAMPLES:

  4. EXAMPLES:

  5. EXAMPLES:

  6. EXAMPLES:

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  8. EXAMPLES:

  9. EXAMPLES:

  10. Multiplying Rational Numbers • Use the SAME RULES for Rational numbers as you did for Integers. • multiply the two numerators and the two denominators. • REMEMBER: If there are negative signs to place them in the numerator.

  11. EXAMPLES 3 5 3 5 x = 2 5 -3 4 x = -4 7 -3 8 x =

  12. EXAMPLES 3 5 3 5 9 25 x = POSITIVE x POSITIVE = POSITIVE 2 5 -3 4 x = -4 7 -3 8 x =

  13. EXAMPLES 3 5 3 5 9 25 x = 2 5 -3 4 -6 20 x = POSITIVE x NEGATIVE = NEGATIVE -4 7 -3 8 x =

  14. EXAMPLES 3 5 3 5 9 25 x = 2 5 -3 4 -6 20 x = -4 7 -3 8 12 56 x = NEGATIVE x NEGATIVE = POSITIVE

  15. MORE EXAMPLES -4 -5 -3 6 x = 2 5 -3 4 2 x = -2 3 -3 4 -3 -2 x x =

  16. MORE EXAMPLES -12 30 -4 -5 -3 6 x = 2 5 -3 4 2 x = -2 3 -3 4 -3 -2 x x =

  17. MORE EXAMPLES -4 -5 -3 6 -12 30 -2 5 ODD Number of Negatives = Negative = x = Reduced to LOWEST TERMS 2 5 -3 4 2 x = -2 3 -3 4 -3 -2 x x =

  18. MORE EXAMPLES -2 5 -4 -5 -3 6 x = CHANGE MIXED TO AN IMPROPER FRACTION 2 5 -3 4 12 5 -3 4 2 x = x = -2 3 -3 4 -3 -2 x x =

  19. MORE EXAMPLES -2 5 -4 -5 -3 6 x = 2 5 -3 4 12 5 -3 4 -36 20 2 x = x = = -2 3 -3 4 -3 -2 x x =

  20. MORE EXAMPLES -2 5 -4 -5 -3 6 x = Change back to mixed and reduce fraction 2 5 -3 4 12 5 -3 4 -36 20 4 5 2 -1 x = x = = Positive x Negative = Negative -2 3 -3 4 -3 -2 x x =

  21. MORE EXAMPLES -2 5 -4 -5 -3 6 x = 2 5 -3 4 4 5 2 -1 x = -2 3 -3 4 -3 -2 18 24 x x =

  22. MORE EXAMPLES -2 5 -4 -5 -3 6 x = 2 5 -3 4 4 5 2 -1 x = Reduce to LOWEST TERMS -2 3 -3 4 -3 -2 18 24 3 4 x x = = EVEN Number of Negatives = Positive

  23. TRY THESE -4 5 3 7 = x -5 8 3 -7 -2 -4 x x = 1 6 3 7 -1 x =

  24. TRY THESE -4 5 3 7 -12 35 = x -5 8 3 -7 -2 -4 x x = 1 6 3 7 -1 x =

  25. TRY THESE -4 5 3 7 -12 35 = x -5 8 3 -7 -2 -4 30 224 15 112 x x = = 1 6 3 7 -1 x =

  26. TRY THESE -4 5 3 7 -12 35 = x -5 8 3 -7 -2 -4 30 224 15 112 x x = = 1 6 3 7 1 6 -10 7 -10 42 -5 21 -1 x = x = =

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