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Decimal notation

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by crackgmat007 » Wed Aug 05, 2009 7:02 pm
What is the least number of digits (including repetitions) needed to express 10^100 in decimal notation?
(A) 4
(B) 100
(C) 101
(D) 1,000
(E) 1,001

OA - C
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Source: — Problem Solving |
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Re: Decimal notation

by ankitns » Wed Aug 05, 2009 7:55 pm
The answer is C

Try to find a pattern here....

10^1 = 10 ( 2 digits)
10^2 = 100 (3 digits)
10^3 = 1000 (4 digits)
...
...

We will notice that the number of digits is alwaz 1 + the power that it is raised to.

[spoiler]Hence 10^100 -> 101 digits.[/spoiler]

Hope it helps.

Cheers.
crackgmat007 wrote:What is the least number of digits (including repetitions) needed to express 10^100 in decimal notation?
(A) 4
(B) 100
(C) 101
(D) 1,000
(E) 1,001

OA - C
Attempt 1: 710, 92% (Q 42, 63%; V 44, 97%)
Attempt 2: Coming soon!
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by crackgmat007 » Fri Aug 07, 2009 9:40 am
what does decimal notation mean?
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