Difference between revisions of "2020 AMC 10A Problems/Problem 3"
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and the original expression becomes <cmath>\frac{-1}{1}\cdot\frac{-1}{1}\cdot\frac{-1}{1}=\boxed{\textbf{(A) } {-}1}.</cmath> | and the original expression becomes <cmath>\frac{-1}{1}\cdot\frac{-1}{1}\cdot\frac{-1}{1}=\boxed{\textbf{(A) } {-}1}.</cmath> | ||
~MRENTHUSIASM | ~MRENTHUSIASM | ||
+ | |||
+ | == Solution 3 == | ||
+ | If you create variables for <math>a-3</math>, <math>b-4</math>, <math>c-5</math>, let's say, x, y, z, then the expression is simplified to: <math>\frac{x}{-z}\cdot\frac{y}{-x}\cdot\frac{z}{-y}</math>. This cancels out to <math>\boxed{-1}</math>. | ||
+ | ~MC413551 | ||
== Video Solution 1 == | == Video Solution 1 == |
Revision as of 12:59, 30 September 2023
Contents
[hide]Problem
Assuming , , and , what is the value in simplest form of the following expression?
Solution 1 (Negatives)
If then We use this fact to simplify the original expression: ~CoolJupiter ~MRENTHUSIASM
Solution 2 (Answer Choices)
At the answer choices become
and the original expression becomes ~MRENTHUSIASM
Solution 3
If you create variables for , , , let's say, x, y, z, then the expression is simplified to: . This cancels out to . ~MC413551
Video Solution 1
~IceMatrix
Video Solution 2
Education, The Study of Everything
Video Solution 3
https://www.youtube.com/watch?v=7-3sl1pSojc
~bobthefam
Video Solution 4
~savannahsolver
Video Solution 5
https://youtu.be/ba6w1OhXqOQ?t=956
~ pi_is_3.14
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 |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.