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2024 AMC 10A Problem 1

Problem 1 of 25EasierArithmetic

What is the value of 9901⋅101−99⋅10101?9901 \cdot 101 - 99 \cdot 10101?

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Solution

Just compute each piece. We have 9901⋅101=990100+99019901 \cdot 101 = 990100 + 9901 =1000001,= 1000001, and 99⋅10101=999999.99 \cdot 10101 = 999999. Subtracting, 1000001−999999=2.1000001 - 999999 = 2. Thus, A is the correct answer.
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