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What is the thousandths digit in the decimal equivalent of 53/5000?

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What is the thousandths digit in the decimal equivalent of 53/5000? [#permalink]

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New post 03 Jul 2016, 11:23
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

73% (00:35) correct 27% (00:35) wrong based on 319 sessions

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Re: What is the thousandths digit in the decimal equivalent of 53/5000? [#permalink]

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New post 03 Jul 2016, 12:07
53/5000=0.0106
therefore A
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Re: What is the thousandths digit in the decimal equivalent of 53/5000? [#permalink]

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New post 03 Jul 2016, 12:12
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Bunuel wrote:
What is the thousandths digit in the decimal equivalent of 53/5000?

A. 0
B. 1
C. 3
D. 5
E. 6



53/5000 = 53 /(5*10^3)
= (53/5) *10^-3
=10.6 * 10^-3
=.0106
Thousandths digit = 0
Answer A
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Re: What is the thousandths digit in the decimal equivalent of 53/5000? [#permalink]

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New post 04 Jul 2016, 00:23
A

the value comes out to be0.0106

so the required digit=0
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Re: What is the thousandths digit in the decimal equivalent of 53/5000? [#permalink]

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New post 04 Jul 2016, 05:45
Bunuel wrote:
What is the thousandths digit in the decimal equivalent of 53/5000?

A. 0
B. 1
C. 3
D. 5
E. 6



53/5000= (1/5) (53/1000) =0.2 * 0.053

Omitting decimal points before multiplication: 2 * 53 =106

Adding decimal pint after: 0.0106

thousandths digit = 0

Answer : A
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Re: What is the thousandths digit in the decimal equivalent of 53/5000? [#permalink]

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New post 18 Sep 2016, 05:29
\(\frac{53}{5000}\) = 0.0106

place value of digits after decimal point is in the order tenths hundredths thousandths and so forth
3rd digit after decimal point is 0 which is the thousandths digit
correct answer - A
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Re: What is the thousandths digit in the decimal equivalent of 53/5000? [#permalink]

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New post 19 Jan 2018, 00:56
53/5000 can be simplified this way --> (53 x 2) / (5,000 x 2) ----> now becomes 106/10,000.

106/10,000 = 0.0106

The hundredth digit is zero.

Ans A

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Re: What is the thousandths digit in the decimal equivalent of 53/5000? [#permalink]

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New post 19 Jan 2018, 07:08
Bunuel wrote:
What is the thousandths digit in the decimal equivalent of 53/5000?

A. 0
B. 1
C. 3
D. 5
E. 6

\(\frac{53}{5000}\)

= \(\frac{53}{5}*1000\)

= \(\frac{10.60}{1000}\)

= \(0.0106\)

Thus, Answer will be (E) 6, however best method is shown by Mrosiji
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Re: What is the thousandths digit in the decimal equivalent of 53/5000? [#permalink]

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New post 21 Jan 2018, 19:52
Bunuel wrote:
What is the thousandths digit in the decimal equivalent of 53/5000?

A. 0
B. 1
C. 3
D. 5
E. 6


We can manipulate the fraction to read:

106/10,000 = 0.0106, so the thousandths digit is 0.

Answer: A
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What is the thousandths digit in the decimal equivalent of 53/5000? [#permalink]

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New post 24 Jan 2018, 11:07
WRT to question ,
53/5,000 = 53 * 10^-3(power -negative 3) / 5
53/5 = 10.6 *10^-3(power -negative 3)
= 106*10^-3(power -negative 3)/10
= 106 * 10 to the power -^2
= 106 * 100
= 10600 , A answer <-
What is the thousandths digit in the decimal equivalent of 53/5000?   [#permalink] 24 Jan 2018, 11:07
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