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Problem 121

Algebra Difficulty 1.1 Multiple choice CEMC Gauss (Grade 7) · Canada · 2020

Which of the following integers is closest to 99×999\times 9?

Pick one

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Official solution

Since 99 is close to 100 and 9 is close to 10, the value of 99×999\times9 is approximately equal to 100×10=1000100\times10=1000.

Of the given answers, this means that the integer that is closest to 99×999\times9 is most likely 1000.

Multiplying, we get that the value of 99×999\times9 is 891.
Of the given answers, 99×999\times9 is indeed closest to 1000.

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