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AMC 12 Mock Exam 4 Problem 2

Problem 2 of 25

What is the sum of the digits of the product 2026⋅99992026\cdot9999?

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Solution

2026⋅9999=2026⋅104−2026=20,260,000−2026=20,257,9742026\cdot9999=2026\cdot10^4-2026=20{,}260{,}000-2026=20{,}257{,}974. Its digit sum is 2+0+2+5+7+9+7+4=362+0+2+5+7+9+7+4=\boxed{36}.

Tagged: arithmetic with 9999, digit sums