Digital Counter

When the numbers from 1 to 1000 are written on a blackboard, which digit appears the most number of times?
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
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Problem



Charlie writes all the whole numbers from $1$ to $1000$ inclusive on a blackboard.

Which digit appears the largest number of times?

If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.