Art of Problem Solving

2010 AMC 10B Problems/Problem 1: Difference between revisions

Created page with 'We first expand the first term, simplify, and then computed to get an answer of -297.'
 
R31415 (talk | contribs)
No edit summary
Line 1: Line 1:
We first expand the first term, simplify, and then computed to get an answer of -297.
== Problem ==
1. What is <math>100(100-3)-(100\cdot100-3)</math>?
 
<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.