Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 1 - Foundations for Algebra - 1-3 Real Numbers and the Number Line - Practice and Problem-Solving Exercises: 41

Answer

$-0.63\gt-\frac{7}{11}$

Work Step by Step

Write the fraction as a decimal to compare the values. $-\frac{7}{11}=-0.\overline{63}$ To compare, extend the number of decimal places. $-\frac{7}{11}=-0.\overline{63}=-0.63\underset\uparrow63\overline{63}$ $-0.63\ \ \ \ \ \ \ \ \ \ \ \ \ \ =-0.63\underset\uparrow00$ Since the tenths and hundredths positions are equal, compare the thousandths position. 0 is less than 6, so 0.63 has the smaller absolute value, but is the larger number since the numbers are negative.
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