High level Precision

Algebra Level 2

I was entering natural numbers in my calculator from 1, like $1,2,3,4,5,6,7,8\dots$ . Soon I found that I could enter the numbers till 55, with every number being entered in between 1 and 55. How many digits can be entered in my calculator at a time?

Clarification: 1 and 55 are also considered while counting for the number of digits.

The answer is 101.

1 solution

Hung Woei Neoh
Jun 19, 2016

The numbers $1$ to $9$ have one digit each. Number of digits here $=1 \times 9 =9$

The numbers $10$ to $55$ have two digits each. Number of digits here $=(55-9)\times 2 = 46\times 2 = 92$

Total number of digits that can be entered in the calculator $=9+92=\boxed{101}$

nice and crisp(+1). :)

Abhay Tiwari - 4 years, 12 months ago

High level Precision

The answer is 101.

1 solution

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