2010 AMC 10B Problems/Problem 1

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Problem

What is $100(100-3)-(100\cdot100-3)$?

$\mathrm{(A)}\ -20,000 \qquad \mathrm{(B)}\ -10,000 \qquad \mathrm{(C)}\ -297 \qquad \mathrm{(D)}\ -6 \qquad \mathrm{(E)}\ 0$

Solution

We first expand the first term, simplify, and then compute to get an answer of $\boxed{\mathrm {(C)} -297}$.

See Also

2010 AMC 10B (ProblemsAnswer KeyResources)
Preceded by
First Problem
Followed by
Problem 2
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All AMC 10 Problems and Solutions