Total Digits 1-100
Probability
Level
1
In order to write all the numbers from 1 to 100, what is the total number of digits that will be used?
Details and assumptions
To write the number 54, we will use 2 digits.
The answer is 192.
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1 solution
Consider the numbers from 1 to 9. There are 9 − 1 + 1 = 9 such 1-digit numbers, which require 9 × 1 = 9 digits.
Consider the numbers from 10 to 99. There are 9 9 − 1 0 + 1 = 9 0 such 2-digit numbers, which require 9 0 × 2 = 1 8 0 digits.
Consider the number 100. There is 1 such 3-digit number, which requires 3 digits.
Hence, 9 + 1 8 0 + 3 = 1 9 2 digits will be used.