Multiplying Real Numbers 64 Chapter 1 The Set of Real Numbers Example 1 Multiply the real numbers. a. b. c. 8142 2.511.72 71102 d. e. f. Solution: a. 8142 32 Same signs. Product is positive. b. 2.511.72 4.25 Same signs. Product is positive. c. Different signs. Product is negative. 71102 70 1 2 182 4 d. Different signs. Product is negative. e. The product of any real number and zero is zero. f. Same signs. Product is positive. Simplify. Skill Practice Multiply. 1. 2. 3. 4. 5. 6. 9132 1.511.52 6142 Observe the pattern for repeated multiplications. 112112 112112112 112112112112 112112112112112 1 112112 112112112 112112112112 1 112112 112112112 1 112112 The pattern demonstrated in these examples indicates that • The product of an even number of negative factors is positive. • The product of an odd number of negative factors is negative. 2. Exponential Expressions Recall that for any real number b and any positive integer, n: bn b b b b . . . b n factors of b Be particularly careful when evaluating exponential expressions involving negative numbers. An exponential expression with a negative base is written with parentheses around the base, such as 1224. 1 5 9 a 9 5 014.12 b 1 3 1152 1 2 7 a 7 2 b 14 14 018.32 0 2 7 a 7 2 018.32 b 1 2 182 Answers 1. 27 2. 2.25 3. 24 4. 5 5. 0 6. 1 ⎧⎪⎪⎪⎨⎪⎪⎪⎩
miller_beginning_intermediate_algebra_4e_ch1_3
To see the actual publication please follow the link above