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# decimals

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Manager
Joined: 04 Sep 2006
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04 Jun 2009, 11:31
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A decimal is 0.123456789101112131415161718192021...What is the 100th digit to the right of the point place of the decimal?

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Intern
Joined: 27 Apr 2009
Posts: 12

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04 Jun 2009, 13:48
It will be 5.
how?
as from the questions the number are in the sequence.
first 9 digit from 1 to 9. next 45, 2-digit number from 10 to 54 will make 90 digit.
so from 1 to 54 its total 99 digit, the next number is 55, 100th and 101th digit.
so the 100th digit is 5.

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Senior Manager
Joined: 16 Jan 2009
Posts: 354

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Concentration: Technology, Marketing
GMAT 1: 700 Q50 V34
GPA: 3
WE: Sales (Telecommunications)

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04 Jun 2009, 13:52
I guess its a duplicate thread.
i have seen this probelm before......let me look around.
_________________

Lahoosaher

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Senior Manager
Joined: 16 Jan 2009
Posts: 354

Kudos [?]: 232 [0], given: 16

Concentration: Technology, Marketing
GMAT 1: 700 Q50 V34
GPA: 3
WE: Sales (Telecommunications)

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04 Jun 2009, 13:53
decimals-79126.html#p595747
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Lahoosaher

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Manager
Joined: 14 May 2009
Posts: 191

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04 Jun 2009, 13:59
I disagree, and this is not a GMAT question.

You can have:

$$0.1234567891011121314151617181920219 = \frac{1234567891011121314151617181920219}{1000000000000000000000000000000000}$$

In which case the 100th digit is 0.

Or you can have

$$0.123456789101112131415161718192021900000000000000000000000000000000000000000000000000000000000000009 = \frac{123456789101112131415161718192021900000000000000000000000000000000000000000000000000000000000000009 }{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

The 100th digit is 9.
_________________

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Manager
Joined: 15 Apr 2008
Posts: 164

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04 Jun 2009, 15:05
I disagree, and this is not a GMAT question.

You can have:

$$0.1234567891011121314151617181920219 = \frac{1234567891011121314151617181920219}{1000000000000000000000000000000000}$$

In which case the 100th digit is 0.

Or you can have

$$0.123456789101112131415161718192021900000000000000000000000000000000000000000000000000000000000000009 = \frac{123456789101112131415161718192021900000000000000000000000000000000000000000000000000000000000000009 }{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

The 100th digit is 9.

can you explain this in more detail.

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Re: decimals   [#permalink] 04 Jun 2009, 15:05
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