Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 2 - Real Numbers - Chapters 1-2 Cumulative Review Problem Set: 12

Answer

0.173

Work Step by Step

Following order of operations, we first consider exponents. We then create common denominators in order to simplify the fractions. Now, we consider addition and subtraction in the numerator and the denominator. Finally, we turn the fraction into a decimal: $(0.2)^{2}-(0.3)^{3}+(0.4)^{2}$ =$(\frac{2}{10})^{2}-(\frac{3}{10})^{3}+(\frac{4}{10})^{2}$ =$\frac{4}{100}-\frac{27}{1000}+\frac{16}{100}$ =$\frac{4(10)-27(1)+16(10)}{1000}$ =$\frac{40-27+160}{1000}$ =$\frac{173}{1000}$ =$0.173$
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