20,000 people voted in each county, and there are 7 counties. What is the order of magnitude for the total number of people who voted?

Question

Astro · Answer

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The total number of voters is 7×20,000 = 140,000. There are 5 digits between the leading 1 and the decimal point. If you didn't know already this would mean that the order of magnitude is 5.

log(140,000) ≈ 5.1 ≈ 5

Meaning that the equation above means the order of magnitude is 5. Hope that helps!

Astro · Answer

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