Difference between revisions of "2024 AMC 10A Problems/Problem 1"
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| + | == Problem == | ||
| + | What is the value of <math>9901\cdot101-99\cdot10101?</math> | ||
| + | |||
| + | <math>\textbf{(A)}~2\qquad\textbf{(B)}~20\qquad\textbf{(C)}~200\qquad\textbf{(D)}~202\qquad\textbf{(E)}~2020</math> | ||
| + | |||
| + | == Solution 1 == | ||
| + | The likely fastest method will be straight computation. <math>9901\cdot101</math> evaluates to <math>1000001</math> and <math>99\cdot10101</math> evaluates to <math>999999</math>. The difference is \boxed{\textbf{(A) }2} | ||
Revision as of 15:11, 8 November 2024
Problem
What is the value of 
Solution 1
The likely fastest method will be straight computation. 
evaluates to 
and 
evaluates to 
. The difference is \boxed{\textbf{(A) }2}
