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In the decimal notation (2/23)^3, what is the 3rd digit to

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In the decimal notation (2/23)^3, what is the 3rd digit to [#permalink] New post 16 Nov 2007, 08:01
In the decimal notation (2/23)^3, what is the 3rd digit to the right of the decimal point?

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Joined: 14 Nov 2007
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Kudos [?]: 2 [0], given: 0

 [#permalink] New post 16 Nov 2007, 08:29
2/23 is less than .1 (.0something)
cube of it directly becomes .000someting.
So third digit is 0

Answer is a
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Kudos [?]: 12 [0], given: 0

 [#permalink] New post 16 Nov 2007, 08:29
It's got to be 0.

If you think of 2/23 as similar to 1/10 (but a bit less) it becomes obvious.

1/10 = 0.1
0.1^3 = (0.1)(0.1)(0.1) = 0.001

2/23 ^3 is less than this, so third digit to the right must be 0.
  [#permalink] 16 Nov 2007, 08:29
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In the decimal notation (2/23)^3, what is the 3rd digit to

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