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Problem 66

Number theory Difficulty 1.2 Multiple choice CEMC Gauss (Grade 7) · Canada · 2026

Which digit is in the thousands place of the number $12\,635$ ?

Pick one

Official solution

Beginning at the rightmost digit and moving left, $5$ is in the ones (units) place, $3$ is in the tens place, $6$ is in the hundreds place, $2$ is in the thousands place, and $1$ is in the ten-thousands place. Thus,
the digit in the thousands place is $2$ .

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