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What is the value of | 5/7 - π| - π-5/7?

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Ravixxx
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What is the value of | 5/7 - π| - π-5/7? [#permalink] New post  27 Apr 2020, 10:18
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What is the value of \(|\frac{5}{7} - π| - π-\frac{5}{7}\)?

(A) \(\frac{-10}{7}\)

(B) \(\frac{-9}{4}\)

(C) \(\frac{-3}{2}\)

(D) \(\frac{5}{6}\)

(E) \(\frac{7}{8}\)
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stne
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Re: What is the value of | 5/7 - π| - π-5/7? [#permalink] New post  27 Apr 2020, 12:55
Ravixxx wrote:
What is the value of \(|\frac{5}{7} - π| - π-\frac{5}{7}\)?

(A) \(\frac{-10}{7}\)

(B) \(\frac{-9}{4}\)

(C) \(\frac{-3}{2}\)

(D) \(\frac{5}{6}\)

(E) \(\frac{7}{8}\)


\(\pi = \frac{22}{7}\)

\(|\frac{5}{7} -\frac{22}{7}| - \frac{22}{7}-\frac{5}{7}\)

\(|\frac{-17}{7}|- \frac{22}{7}-\frac{5}{7} = \frac{17}{7}-\frac{22}{7}-\frac{5}{7}\)

\(\frac{17-27}{7}\) ->\(\frac{-10}{7}\)

Ans- A

Hope it's clear
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KavyaGanta
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Re: What is the value of | 5/7 - π| - π-5/7? [#permalink] New post  23 Jun 2020, 21:57
Pi>5/7
So, 5/7-pi<0
Which means |5/7-pi|= pi-5/7
Now, pi-5/7-pi-5/7= -10/7.
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chetan2u
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What is the value of | 5/7 - π| - π-5/7? [#permalink] New post  23 Jun 2020, 23:01
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Ravixxx wrote:
What is the value of \(|\frac{5}{7} - π| - π-\frac{5}{7}\)?

(A) \(\frac{-10}{7}\)

(B) \(\frac{-9}{4}\)

(C) \(\frac{-3}{2}\)

(D) \(\frac{5}{6}\)

(E) \(\frac{7}{8}\)


\(\frac{5}{7} - π<0\),
So \(|\frac{5}{7} - π|=-(\frac{5}{7} - π)= π-\frac{5}{7}\)

Thus, \(|\frac{5}{7} - π| - π-\frac{5}{7}\)= \(π-\frac{5}{7}- π-\frac{5}{7}=2*-\frac{5}{7}=-\frac{10}{7}\)

A
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Re: What is the value of | 5/7 - π| - π-5/7? [#permalink] New post  24 Jun 2020, 01:51
\(|\frac{5}{7}−\pi|−\pi−\frac{5}{7}\)
=\(\frac{17}{7}-\frac{22}{7}-\frac{5}{7}\)
=\(-\frac{10}{7}\)

Answer: A
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Re: What is the value of | 5/7 - π| - π-5/7? [#permalink] New post  03 Sep 2021, 02:17
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Re: What is the value of | 5/7 - π| - π-5/7? [#permalink]
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