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Multiplying and Dividing Real Numbers Objectives Understand multiplying/ dividing by 0, 1, 1 Understand what happens when multiplying/ dividing by negatives Identity property of Multiplication For any real number n, For any real number n, 1 n = n
0n = 0 Multiplication of Zero Multiplication of 1 For any real number n, 1 n =  n Multiplying numbers with the same sign The product of 2 positive numbers or 2 negative numbers is positive 7 8 =
(5)(12) = (7)(8) = Multiplying Numbers with Different Signs The product of a negative number and a positive number is always negative  39 = 3(9) = Evaluate the following expressions y = 5 x = 3
2 xy
 3xy EXPONENTS AFFECT ONLY WHAT THEY ARE DIRECTLY TOUCHING!!!!!!!!!!!! 3 4 3  4 2 (  3) 4 Dividing numbers with the same sign
The quotient is always positive  18 (6) = 16 4 = Dividing numbers with different signs
The quotient is always negative (18) (6) = 36 (4) = Evaluate each expression
x = 2 y=6 z = 20
4x + y 2 z 3 x y + 20 4 Multiplicative Inverse (fancy pants word for reciprocal) Every real number a has a multiplicative 1 inverse a such that a 1 = 1 a Dividing is the same as multiplying by the 2 3 x= y= reciprocal. 5 10 y x x y HW # _____ P. 41 (612 even) (1737 odd) (4551odd) (61 & 73) ...
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 Spring '09
 Johnson
 Algebra, Real Numbers, Addition, Negative and nonnegative numbers, multiplying/ dividing

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