Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 1 - Foundations for Algebra - 1-6 Multiplying and Dividing Real Numbers - Practice and Problem-Solving Exercises: 37

Answer

-250

Work Step by Step

-0.3 is the same as -3/10. Thus, we are asked to find: 75$\div$(-3/10). In this problem, we are dividing by a fraction. However, we are never supposed to divide by a fraction. Rather, we must multiply by the reciprocal of the fraction. The reciprocal of a fraction is that fraction with the numerator (top of the fraction) and denominator (bottom of the fraction) switched. Thus, we simplify to find: 75$\div$(-3/10)=75$\times$(-10/3)=-250 Note, the answer is negative, for a negative times a positive or a positive times a negative is a negative.
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