AMC12 2024 A
AMC12 2024 A · Q1
AMC12 2024 A · Q1. It mainly tests Fractions, Divisibility & factors.
What is the value of $9901\cdot101-99\cdot10101?$
$9901\cdot101-99\cdot10101$ 的值为多少？
(A)
2
2
(B)
20
20
(C)
200
200
(D)
202
202
(E)
2020
2020
Answer
Correct choice: (A)
正确答案：（A）
Solution
The likely fastest method will be direct computation. $9901\cdot101$ evaluates to $1000001$ and $99\cdot10101$ evaluates to $999999$. The difference is $\boxed{\textbf{(A) }2}.$
Solution by juwushu.
最快的方法是直接计算。$9901\cdot101=1000001$，$99\cdot10101=999999$。差值为 $\boxed{\textbf{(A) }2}$。
Solution by juwushu.
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