Difference between revisions of "2020 AMC 10A Problems/Problem 3"
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− | Substituting values for <cmath>a, b, and c</cmath>, we see that if each of them satify the inequalities above, the value goes to be <cmath>-1</cmath>. | + | Substituting values for <cmath>a, b,\text{and} c</cmath>, we see that if each of them satify the inequalities above, the value goes to be <cmath>-1</cmath>. |
Therefore, the product of the given fraction equals <math>(-1)(-1)(-1)=\boxed{\textbf{(A)}-1}</math>. | Therefore, the product of the given fraction equals <math>(-1)(-1)(-1)=\boxed{\textbf{(A)}-1}</math>. | ||
Revision as of 21:42, 24 May 2020
Problem
Assuming , , and , what is the value in simplest form of the following expression?
Solution
Note that is times . Likewise, is times and is times . Therefore, the product of the given fraction equals .
Solution 2
Substituting values for , we see that if each of them satify the inequalities above, the value goes to be . Therefore, the product of the given fraction equals .
Video Solution
~IceMatrix
See Also
2020 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 2 |
Followed by Problem 4 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AMC 10 Problems and Solutions |
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