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few good PS qs.

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Manager
Joined: 03 Oct 2009
Posts: 92

Kudos [?]: 54 [0], given: 2

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09 Oct 2009, 04:38
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1) What is the least number of digits (including repetitions) needed to express 10 to the power 100 in decimal notation?
(A) 4
(B) 100
(C) 101
(D) 1,000
(E) 1,001

Regards,

Kudos [?]: 54 [0], given: 2

Senior Manager
Joined: 31 Aug 2009
Posts: 415

Kudos [?]: 349 [0], given: 20

Location: Sydney, Australia
Re: few good PS qs. [#permalink]

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09 Oct 2009, 06:25
10^2 = 10x10 =100
10^3 = 10x10x10 = 1000

Therefore.. 10^100 = 1 followed by 100 0's.

Kudos [?]: 349 [0], given: 20

Intern
Joined: 04 Oct 2009
Posts: 7

Kudos [?]: 7 [0], given: 0

Re: few good PS qs. [#permalink]

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09 Oct 2009, 22:39
yangsta8 wrote:
10^2 = 10x10 =100
10^3 = 10x10x10 = 1000

Therefore.. 10^100 = 1 followed by 100 0's.

Did not understand this answer. Could you explain? Thanks.

Kudos [?]: 7 [0], given: 0

Senior Manager
Joined: 31 Aug 2009
Posts: 415

Kudos [?]: 349 [0], given: 20

Location: Sydney, Australia
Re: few good PS qs. [#permalink]

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10 Oct 2009, 05:58
mohana wrote:
yangsta8 wrote:
10^2 = 10x10 =100
10^3 = 10x10x10 = 1000

Therefore.. 10^100 = 1 followed by 100 0's.

Did not understand this answer. Could you explain? Thanks.

The question is asking what is 10^100.
As an example if you look at 10^2...the result is 1 with 2 trailing 0's.
10^3 is following the same pattern... 1 with 3 trailing zeros.
10^4 will be 1 with 4 trailing zeros...
Hence 10^100 should be 1 with 100 trailing zeros.

Kudos [?]: 349 [0], given: 20

Re: few good PS qs.   [#permalink] 10 Oct 2009, 05:58
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