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What is the least number of digits (including repetitions) needed to express 10^100...

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Re: What is the least number of digits (including repetitions) needed to express 10^100...

by Scott@TargetTestPrep » Mon Apr 19, 2021 6:18 am
BTGmoderatorLU wrote: ↑
Tue Jun 30, 2020 12:36 am
 GMAT Paper Tests

What is the least number of digits (including repetitions) needed to express 10^100 in decimal notation?

A. 4
B. 100
C. 101
D. 1000
E. 1001

OA C
Solution:

Recall 10^n (where n is a positive integer) is the smallest (n + 1)-digit number. For example, 10^1 = 10 is the smallest 2-digit number, 10^2 = 100 is the smallest 3-digit number, etc. Therefore, 10^100 is the smallest 101-digit number, i.e., it has 101 digits (including repetitions).

Answer: C

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