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Which one of the following is nearest to 0.313233 ?

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Carcass
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Which one of the following is nearest to 0.313233 ? [#permalink] New post   01 Apr 2019, 12:46
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Which one of the following is nearest to 0.313233 ?

(A) \(\frac{3}{10}\)

(B) \(\frac{31}{100}\)

(C) \(\frac{313}{1000}\)

(D) \(\frac{3132}{10000}\)

(E) \(\frac{31323}{100000}\)
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E
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Sanpreet
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Re: Which one of the following is nearest to 0.313233 ? [#permalink] New post   14 Apr 2020, 09:49
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E matches with 5 correct places of the right answer.

A,B,C,D --> matches 1,2,3, 4 places of the right answer.

E is the closest and hence, E is the answer.
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Re: Which one of the following is nearest to 0.313233 ? [#permalink] New post   15 Apr 2020, 10:02
Yes sir, I saw that, but the denominator of E must be 100,000 instead of 10,000 to make it close.

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Re: Which one of the following is nearest to 0.313233 ? [#permalink] New post   16 Apr 2020, 08:38
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Carcass wrote:
Which one of the following is nearest to 0.313233 ?

(A) \(\frac{3}{10}\)

(B) \(\frac{31}{100}\)

(C) \(\frac{313}{1000}\)

(D) \(\frac{3132}{10000}\)

(E) \(\frac{31323}{10000}\)


First recognize that \(0.313233 = \frac{313,233}{1,000,000}\)


A) \(\frac{3}{10}=\frac{300,000}{1,000,000}\)

\(\frac{313,233}{1,000,000} - \frac{300,000}{1,000,000} = \frac{13,233}{1,000,000}\)

So, answer choice A is \(\frac{13,233}{1,000,000}\) away from the given decimal.



B) \(\frac{31}{100}=\frac{310,000}{1,000,000}\)

\(\frac{313,233}{1,000,000} - \frac{310,000}{1,000,000} = \frac{3,233}{1,000,000}\)

So, answer choice B is \(\frac{3,233}{1,000,000}\) away from the given decimal.



C) \(\frac{313}{1,000}=\frac{313,000}{1,000,000}\)

\(\frac{313,233}{1,000,000} - \frac{313,000}{1,000,000} = \frac{233}{1,000,000}\)

So, answer choice C is \(\frac{233}{1,000,000}\) away from the given decimal.



D) \(\frac{3,132}{10,000}=\frac{313,200}{1,000,000}\)

\(\frac{313,233}{1,000,000} - \frac{313,200}{1,000,000} = \frac{33}{1,000,000}\)

So, answer choice D is \(\frac{33}{1,000,000}\) away from the given decimal.


E) \(\frac{31,323}{100,000}=\frac{313,230}{1,000,000}\)

\(\frac{313,233}{1,000,000} - \frac{313,230}{1,000,000} = \frac{3}{1,000,000}\)

So, answer choice E is \(\frac{3}{1,000,000}\) away from the given decimal.

Answer: E

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Brent
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Re: Which one of the following is nearest to 0.313233 ? [#permalink] New post   16 Apr 2020, 08:47
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sukrut96 wrote:
Yes sir, I saw that, but the denominator of E must be 100,000 instead of 10,000 to make it close.

Posted from my mobile device Image


You're absolutely right.
I have edited the original question accordingly.

Cheers,
Brent
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Re: Which one of the following is nearest to 0.313233 ? [#permalink]
16 Apr 2020, 08:47
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