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*MULTIPLYING RATIONAL NUMBERS LESSON 8. Multiplying Integers Positive x Positive = Positive ...*

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EXAMPLES: (8) x (+5) Positive x Positive (+7) x (-6) Positive x Negative (-4) x (-3) Negative x Negative (-8) x (+9) Negative x Positive (-4) x (-2) x (-3) Odd number of Negatives (-1) x (-9) x (-3) x (-2) Even number of Negatives

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. An even number of Negatives multiplied together gives a positive result. EXAMPLES: (8) x (+5) Positive x Positive (+7) x (-6) Positive x Negative (-4) x (-3) Negative x Negative (-8) x (+9) Negative x Positive (-4) x (-2) x (-3) Odd number of Negatives (-1) x (-9) x (-3) x (-2) Even number of Negatives EXAMPLES: (8) x (+5) = + 40 Positive x Positive = Positive (+7) x (-6) Positive x Negative (-4) x (-3) Negative x Negative (-8) x (+9) Negative x Positive (-4) x (-2) x (-3) Odd number of Negatives (-1) x (-9) x (-3) x (-2) Even number of Negatives EXAMPLES: (8) x (+5) = + 40 Positive x Positive (+7) x (-6) = - 42 Positive x Negative = Negative (-4) x (-3) Negative x Negative (-8) x (+9) Negative x Positive (-4) x (-2) x (-3) Odd number of Negatives (-1) x (-9) x (-3) x (-2) Even number of Negatives EXAMPLES: (8) x (+5) = + 40 Positive x Positive (+7) x (-6) = - 42 Positive x Negative (-4) x (-3) = + 12 Negative x Negative = Positive (-8) x (+9) Negative x Positive (-4) x (-2) x (-3) Odd number of Negatives (-1) x (-9) x (-3) x (-2) Even number of Negatives EXAMPLES: (8) x (+5) = + 40 Positive x Positve (+7) x (-6) = - 42 Positve x Negative (-4) x (-3) = + 12 Negative x Negative (-8) x (+9) = - 72 Negative x Positive = Negative (-4) x (-2) x (-3) Odd number of Negatives (-1) x (-9) x (-3) x (-2) Even number of Negatives EXAMPLES: (8) x (+5) = + 40 Positive x Positve (+7) x (-6) = - 42 Positve x Negative (-4) x (-3) = + 12 Negative x Negative (-8) x (+9) = - 72 Negative x Positive (-4) x (-2) x (-3) = - 24 Odd number of Negatives = Negative (-1) x (-9) x (-3) x (-2) Even number of Negatives EXAMPLES: (8) x (+5) = + 40 Positive x Positve (+7) x (-6) = - 42 Positve x Negative (-4) x (-3) = + 12 Negative x Negative (-8) x (+9) = - 72 Negative x Positive (-4) x (-2) x (-3) = - 24 Odd number of Negatives (-1) x (-9) x (-3) x (-2) = + 54 Even number of Negatives = Positive 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. EXAMPLES 3535 x x= x = = EXAMPLES 3535 x x= x = = 9 25 POSITIVE x POSITIVE = POSITIVE EXAMPLES 3535 x x= x = = POSITIVE x NEGATIVE = NEGATIVE EXAMPLES 3535 x x= x = = NEGATIVE x NEGATIVE = POSITIVE MORE EXAMPLES x x= x = = x MORE EXAMPLES x x= x = = x MORE EXAMPLES x x= x = = x = -2 5 ODD Number of Negatives = Negative Reduced to LOWEST TERMS MORE EXAMPLES x x= x = = x x= CHANGE MIXED TO AN IMPROPER FRACTION MORE EXAMPLES x x= x = = x x= = MORE EXAMPLES x x= x = = x x= = 4545 Positive x Negative = Negative Change back to mixed and reduce fraction MORE EXAMPLES x x= x = = x MORE EXAMPLES x x= x = = x = 3434 Reduce to LOWEST TERMS EVEN Number of Negatives = Positive TRY THESE -4 5 x xx x = = = TRY THESE -4 5 x xx x = = = TRY THESE -4 5 x xx x = = = = TRY THESE -4 5 x xx x = = = = x = = -5 21