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Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

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BuyFindarrow_forward

Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

SKILLS

77-82 Repeated Decimal Express the repeating decimal as a fraction.

0. 112 ¯

To determine

To express:

Repeating decimal as a fraction for the number 0.112¯.

Explanation

Approach:

The sum of infinite series is S=a1r

Calculation:

This repeating decimal can be written as a series:

1121000+1121000000+.....

After the first term, the terms of this series form an infinite geometric series with

a=1121000r=11000

Thus the sum of this part of the series is

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Chapter 13 Solutions

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