How many digits (counting repetitions) are required to represent 10^95 in decimal form?

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Correct

1000

1001

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Explanation

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Official Explanation

Official

To determine the number of digits needed, we can observe the pattern for powers of 10:

10^1=2 digits

10^2=3 digits

10^3=4 digits

,…

Comments

PrathamJan 21, 2024

thank you for sharing

HARDIKMay 26, 2024

Thankss

VohJul 13

is this really 500 level? felt kinda easy once you know 10^2 has 3 digits

SanketJul 18

right, the pattern 10^n has n+1 digits. quick check with 10^1 = 10, two digits

What this question tests

Your ability to convert between fractions, ratios, and decimals and to reason proportionally.

Cross-multiplying incorrectly or mixing up the ratio parts — a part:part ratio is not a fraction of the whole.