Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 11.4, Problem 37PPS
To determine

To write the repeating decimal 2.18¯ as a fraction.

Expert Solution & Answer
Check Mark

Answer to Problem 37PPS

  2411

Explanation of Solution

Given:

  2.18¯

Concept Used:

To write a repeating decimal as a fraction:

  1. Write x equals to the repeating decimal.
  2. Place the repeating digit to the left of the decimal point.
  3. The number of repeating digits in both equations taken on right side of the decimal point should be equal.
  4. Solve the above two equations formed to find the value of x .
  5. The value of x is required fraction for the given repeating decimal.

Calculation:

In order to write the repeating decimal 2.18¯ as a fraction.

First note that there are two repeating digits(1, and 8), now take:

  x=2.18181818

Now multiply above equation by 100(since there are two repeating digit), as

  100×x=100×2.18181818100x=218.18181818

Note that since 1, and 8 are repeating digits so 1, and 8 can be repeated after decimal any times.

Now, subtract x=2.18181818 from 100x=218.18181818 and find value of x , as

  100x=218.18181818x=   2.1818181899x=216.000000x=21699x=2411

Thus, the given repeating decimal can be written into fraction equals to 2411 .

Chapter 11 Solutions

Algebra 2

Ch. 11.1 - Prob. 1CYUCh. 11.1 - Prob. 2CYUCh. 11.1 - Prob. 3CYUCh. 11.1 - Prob. 4CYUCh. 11.1 - Prob. 5CYUCh. 11.1 - Prob. 6CYUCh. 11.1 - Prob. 7CYUCh. 11.1 - Prob. 8CYUCh. 11.1 - Prob. 9CYUCh. 11.1 - Prob. 10CYUCh. 11.1 - Prob. 11CYUCh. 11.1 - Prob. 12CYUCh. 11.1 - Prob. 13CYUCh. 11.1 - Prob. 14CYUCh. 11.1 - Prob. 15CYUCh. 11.1 - Prob. 16CYUCh. 11.1 - Prob. 17CYUCh. 11.1 - Prob. 18CYUCh. 11.1 - Prob. 19CYUCh. 11.1 - Prob. 20CYUCh. 11.1 - Prob. 21PPSCh. 11.1 - Prob. 22PPSCh. 11.1 - Prob. 23PPSCh. 11.1 - Prob. 24PPSCh. 11.1 - Prob. 25PPSCh. 11.1 - Prob. 26PPSCh. 11.1 - Prob. 27PPSCh. 11.1 - Prob. 28PPSCh. 11.1 - Prob. 29PPSCh. 11.1 - Prob. 30PPSCh. 11.1 - Prob. 31PPSCh. 11.1 - Prob. 32PPSCh. 11.1 - Prob. 33PPSCh. 11.1 - Prob. 34PPSCh. 11.1 - Prob. 35PPSCh. 11.1 - Prob. 36PPSCh. 11.1 - Prob. 37PPSCh. 11.1 - Prob. 38PPSCh. 11.1 - Prob. 39PPSCh. 11.1 - Prob. 40PPSCh. 11.1 - Prob. 41PPSCh. 11.1 - Prob. 42PPSCh. 11.1 - Prob. 43PPSCh. 11.1 - Prob. 44PPSCh. 11.1 - Prob. 45PPSCh. 11.1 - Prob. 46PPSCh. 11.1 - 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Prob. 97SCh. 11.2 - Prob. 98SCh. 11.2 - Prob. 99SCh. 11.2 - Prob. 100SCh. 11.3 - Prob. 1CYPCh. 11.3 - Prob. 2ACYPCh. 11.3 - Prob. 2BCYPCh. 11.3 - Prob. 3CYPCh. 11.3 - Prob. 4ACYPCh. 11.3 - Prob. 4BCYPCh. 11.3 - Prob. 5ACYPCh. 11.3 - Prob. 5BCYPCh. 11.3 - Prob. 6CYPCh. 11.3 - Prob. 1CYUCh. 11.3 - Prob. 2CYUCh. 11.3 - Prob. 3CYUCh. 11.3 - Prob. 4CYUCh. 11.3 - Prob. 5CYUCh. 11.3 - Prob. 6CYUCh. 11.3 - Prob. 7CYUCh. 11.3 - Prob. 8CYUCh. 11.3 - Prob. 9CYUCh. 11.3 - Prob. 10CYUCh. 11.3 - Prob. 11CYUCh. 11.3 - Prob. 12CYUCh. 11.3 - Prob. 13CYUCh. 11.3 - Prob. 14CYUCh. 11.3 - Prob. 15CYUCh. 11.3 - Prob. 16CYUCh. 11.3 - Prob. 17PPSCh. 11.3 - Prob. 18PPSCh. 11.3 - Prob. 19PPSCh. 11.3 - Prob. 20PPSCh. 11.3 - Prob. 21PPSCh. 11.3 - Prob. 22PPSCh. 11.3 - Prob. 23PPSCh. 11.3 - Prob. 24PPSCh. 11.3 - Prob. 25PPSCh. 11.3 - Prob. 26PPSCh. 11.3 - Prob. 27PPSCh. 11.3 - Prob. 28PPSCh. 11.3 - Prob. 29PPSCh. 11.3 - Prob. 30PPSCh. 11.3 - Prob. 31PPSCh. 11.3 - Prob. 32PPSCh. 11.3 - Prob. 33PPSCh. 11.3 - Prob. 34PPSCh. 11.3 - 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Prob. 82STPCh. 11.3 - Prob. 83STPCh. 11.3 - Prob. 84STPCh. 11.3 - Prob. 85STPCh. 11.3 - Prob. 86SCh. 11.3 - Prob. 87SCh. 11.3 - Prob. 88SCh. 11.3 - Prob. 89SCh. 11.3 - Prob. 5ECh. 11.3 - Prob. 6ECh. 11.3 - Prob. 7ECh. 11.4 - Prob. 1ACYPCh. 11.4 - Prob. 1BCYPCh. 11.4 - Prob. 2ACYPCh. 11.4 - Prob. 2BCYPCh. 11.4 - Prob. 3CYPCh. 11.4 - Prob. 4CYPCh. 11.4 - Prob. 1CYUCh. 11.4 - Prob. 2CYUCh. 11.4 - Prob. 3CYUCh. 11.4 - Prob. 4CYUCh. 11.4 - Prob. 5CYUCh. 11.4 - Prob. 6CYUCh. 11.4 - Prob. 7CYUCh. 11.4 - Prob. 8CYUCh. 11.4 - Prob. 9CYUCh. 11.4 - Prob. 10CYUCh. 11.4 - Prob. 11CYUCh. 11.4 - Prob. 12CYUCh. 11.4 - Prob. 13CYUCh. 11.4 - Prob. 14CYUCh. 11.4 - Prob. 15CYUCh. 11.4 - Prob. 16PPSCh. 11.4 - Prob. 17PPSCh. 11.4 - Prob. 18PPSCh. 11.4 - Prob. 19PPSCh. 11.4 - Prob. 20PPSCh. 11.4 - Prob. 21PPSCh. 11.4 - Prob. 22PPSCh. 11.4 - Prob. 23PPSCh. 11.4 - Prob. 24PPSCh. 11.4 - Prob. 25PPSCh. 11.4 - Prob. 26PPSCh. 11.4 - Prob. 27PPSCh. 11.4 - Prob. 28PPSCh. 11.4 - Prob. 29PPSCh. 11.4 - Prob. 30PPSCh. 11.4 - Prob. 31PPSCh. 11.4 - Prob. 32PPSCh. 11.4 - Prob. 33PPSCh. 11.4 - Prob. 34PPSCh. 11.4 - Prob. 35PPSCh. 11.4 - Prob. 36PPSCh. 11.4 - Prob. 37PPSCh. 11.4 - Prob. 38PPSCh. 11.4 - Prob. 39PPSCh. 11.4 - Prob. 40PPSCh. 11.4 - Prob. 41PPSCh. 11.4 - Prob. 42PPSCh. 11.4 - Prob. 43PPSCh. 11.4 - Prob. 44PPSCh. 11.4 - Prob. 45PPSCh. 11.4 - Prob. 46PPSCh. 11.4 - Prob. 47PPSCh. 11.4 - Prob. 48PPSCh. 11.4 - Prob. 49PPSCh. 11.4 - Prob. 50PPSCh. 11.4 - Prob. 51PPSCh. 11.4 - Prob. 52PPSCh. 11.4 - Prob. 53PPSCh. 11.4 - Prob. 54PPSCh. 11.4 - Prob. 55PPSCh. 11.4 - Prob. 56PPSCh. 11.4 - Prob. 57PPSCh. 11.4 - Prob. 58PPSCh. 11.4 - Prob. 59PPSCh. 11.4 - Prob. 60HPCh. 11.4 - Prob. 61HPCh. 11.4 - Prob. 62HPCh. 11.4 - Prob. 63HPCh. 11.4 - Prob. 64HPCh. 11.4 - Prob. 65HPCh. 11.4 - Prob. 66HPCh. 11.4 - Prob. 67HPCh. 11.4 - Prob. 68HPCh. 11.4 - Prob. 69HPCh. 11.4 - Prob. 70HPCh. 11.4 - Prob. 71HPCh. 11.4 - Prob. 72STPCh. 11.4 - Prob. 73STPCh. 11.4 - Prob. 74SCh. 11.4 - Prob. 75SCh. 11.4 - Prob. 76SCh. 11.4 - Prob. 1ECh. 11.4 - Prob. 2ECh. 11.4 - Prob. 3ECh. 11.4 - Prob. 4ECh. 11.4 - Prob. 5ECh. 11.4 - Prob. 6ECh. 11.5 - Prob. 1CYPCh. 11.5 - Prob. 2ACYPCh. 11.5 - Prob. 2BCYPCh. 11.5 - Prob. 2CCYPCh. 11.5 - Prob. 3CYPCh. 11.5 - Prob. 4CYPCh. 11.5 - Prob. 1CYUCh. 11.5 - Prob. 2CYUCh. 11.5 - Prob. 3CYUCh. 11.5 - Prob. 4CYUCh. 11.5 - Prob. 5CYUCh. 11.5 - Prob. 6CYUCh. 11.5 - Prob. 7CYUCh. 11.5 - Prob. 8CYUCh. 11.5 - Prob. 9CYUCh. 11.5 - Prob. 10CYUCh. 11.5 - Prob. 11CYUCh. 11.5 - Prob. 12PPSCh. 11.5 - Prob. 13PPSCh. 11.5 - Prob. 14PPSCh. 11.5 - Prob. 15PPSCh. 11.5 - Prob. 16PPSCh. 11.5 - Prob. 17PPSCh. 11.5 - Prob. 18PPSCh. 11.5 - Prob. 19PPSCh. 11.5 - Prob. 20PPSCh. 11.5 - Prob. 21PPSCh. 11.5 - Prob. 22PPSCh. 11.5 - Prob. 23PPSCh. 11.5 - Prob. 24PPSCh. 11.5 - Prob. 25PPSCh. 11.5 - Prob. 26PPSCh. 11.5 - Prob. 27PPSCh. 11.5 - Prob. 28PPSCh. 11.5 - Prob. 29PPSCh. 11.5 - Prob. 30PPSCh. 11.5 - Prob. 31PPSCh. 11.5 - Prob. 32PPSCh. 11.5 - Prob. 33PPSCh. 11.5 - Prob. 34PPSCh. 11.5 - Prob. 35PPSCh. 11.5 - Prob. 36PPSCh. 11.5 - 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Algebra And Trigonometry (11th Edition)
Algebra
ISBN:9780135163078
Author:Michael Sullivan
Publisher:PEARSON
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Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:9780980232776
Author:Gilbert Strang
Publisher:Wellesley-Cambridge Press
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Algebra
ISBN:9780077836344
Author:Julie Miller, Donna Gerken
Publisher:McGraw-Hill Education
Mod-01 Lec-01 Discrete probability distributions (Part 1); Author: nptelhrd;https://www.youtube.com/watch?v=6x1pL9Yov1k;License: Standard YouTube License, CC-BY
Discrete Probability Distributions; Author: Learn Something;https://www.youtube.com/watch?v=m9U4UelWLFs;License: Standard YouTube License, CC-BY
Probability Distribution Functions (PMF, PDF, CDF); Author: zedstatistics;https://www.youtube.com/watch?v=YXLVjCKVP7U;License: Standard YouTube License, CC-BY
Discrete Distributions: Binomial, Poisson and Hypergeometric | Statistics for Data Science; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=lHhyy4JMigg;License: Standard Youtube License