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Difference between revisions of "2010 AMC 10B Problems/Problem 1"

(Created page with 'We first expand the first term, simplify, and then computed to get an answer of -297.')
 
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We first expand the first term, simplify, and then computed to get an answer of -297.
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== Problem ==
 +
1. What is <math>100(100-3)-(100\cdot100-3)</math>?
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 +
<math>
 +
\mathrm{(A)}\ -20,000
 +
\qquad
 +
\mathrm{(B)}\ -10,000
 +
\qquad
 +
\mathrm{(C)}\ -297
 +
\qquad
 +
\mathrm{(D)}\ -6
 +
\qquad
 +
\mathrm{(E)}\ 0
 +
</math>
 +
== Solution ==
 +
We first expand the first term, simplify, and then compute to get an answer of {{boxed}}<math>(C) -297</math>{{/boxed}}.

Revision as of 19:05, 22 January 2011

Problem

1. 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 Template:Boxed$(C) -297$Template:/boxed.

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