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Problem 3

Number theory Difficulty 1.0 Find the answer CEMC Gauss (Grade 8) · Canada · 2014

The number 10 101 is equal to

(A) $1000+100+1$ (B) $1000+10+1$ (C) $10\,000+10+1$ (D) $10\,000+100+1$ (E) $100\,000+100+1$

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Official solution

Evaluating, $(4\times3)+2=12+2=14$ .

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.