Nice Math Problems
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Nice Math Problems

How Many Digits?

You can use a calculator. Go on, try it!

To clarify the question a little:

If 2023²⁰²³ were written as a decimal number, how many digits would it contain?

My students have a very powerful calculator. But when you ask it to evaluate 2023²⁰²³, it’s not particularly helpful. Some models give “Error: overflow”, and some models give the result as ∞. 😓

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Russell Lim

I teach high school mathematics in Melbourne, Australia. I like thinking about interesting problems and learning new things.