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Multiplying and Dividing Integers Multiplying When the two factors (numbers that you multiply) have the SAME sign, then the product (answer to a multiplication question) is POSITIVE. Dividing When the dividend (1st or top number) and the divisor nd (2 or bottom number) have the SAME sign, the quotient (answer to a division question) is POSITIVE When the two factors have the DIFFERENT signs, then the product is NEGATIVE. When the dividend and the divisor have the DIFFERENT signs, the quotient is NEGATIVE An easier chart Signs are the same = Positive Examples: Signs are different = Negative Examples: Positive X Positive = Positive +4 x +6 = +24 Negative X Negative = Positive -4 x –6 =+24 (+) x (+) = + () x () = + Negative X Positive = Negative -4 x +6 = -24 Positive X Negative = Negative +4 x –6 = -24 () x (+) = For Multiplication Symbols that mean multiply 3 x –5 3 • -5 3 * -5 3y, y=-5 (3) (-5) 3(-5) 3(-2+-3) [All these = -15] [The last 3 are Distributive Property, see pg. ] (+) x () = For Division -The divisor can not = 0 (zero) For Multiplying and Dividing more than 2 numbers… if there is an EVEN number of negative signs, then the answer is POSITIVE. If there are an ODD number of negative signs, then the answer is NEGATIVE. -7 * -3 * -4 * +8 ÷ -2 = positive -3 * -2 * +5 * -3 ÷ +9 = negative