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GMAT paper test - decimal notation

Expert replies
by tanyajoseph » Wed Sep 19, 2007 2:43 pm
What is the least no of digits (including repetitions) needed to express 10^100 in decimal notation?

a) 4
b) 100
c) 101
d) 1000
e) 1001
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Source: — Problem Solving |

by kajcha » Wed Sep 19, 2007 5:28 pm
Should be 101
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by tanyajoseph » Thu Sep 20, 2007 1:41 am
That is the the correct answer but it would be useful for the users if you could post the detailed work out:)
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by samirpandeyit62 » Thu Sep 20, 2007 2:37 am
Hi Tanya & Kajcha,

10^100 will give u an integer nos as

10000..... (total 100 0's)

so total nos of digits is 101 (one 1 & 100 0's)
this wud be total nos of digits reqd to express this nos in INTEGER form

now an integer say 10 can be represented in a decimal form as
10.0 (1 zero added after decimal pt)

so here the ans should be 102
any thoughts on this??
Regards
Samir
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by kajcha » Thu Sep 20, 2007 5:13 am
samir, I won't agree with that... We can write 10 or 10.0 in decimal format. So, I don't think we really need to go that far... again, that's my opinion...

tanya, my explanation is same as samir's
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by samirpandeyit62 » Thu Sep 20, 2007 9:54 am
Kajcha, I quiet agree with u, I just mentioned this coz in true mathematical sense an integer is a nos with no decimal pt & a decimal is a nos with a decimal pt. Well anyways I would have also selected 101 here.
Regards
Samir
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by niks_01.27 » Thu Sep 20, 2007 7:30 pm
Hey Guys... as what I understand a decimal notation is the writing of numbers in the base-ten numeral system, which uses various symbols (called digits) for no more than ten distinct values (0, 1, 2, 3, 4, 5, 6, 7, 8 and 9) to represent any numbers, no matter how large. Though these digits are often used with a decimal separator which indicates the start of a fractional part but it's not necessary and/or mandatory.

So, as all agree answer should be 101 :D
regards
niks...
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