2016 AMC 10A Problems/Problem 1
Revision as of 21:59, 1 November 2023 by Veerkmahajan (talk | contribs)
Contents
[hide]Problem
What is the value of ?
Solution 1
We can use subtraction of fractions to get
Solution 2
Factoring out gives .
Solution 3
consider 10 as n simpify = = = = subsitute n as 10 again
answer is which is 100
Solution 4
We are given the equation
This is equivalent to Simplifying, we get , which equals .
Therefore, the answer is = .
~TheGoldenRetriever
Video Solution (HOW TO THINK CREATIVELY!!!)
https://youtu.be/r5G98oPPyNM
~Education, the Study of Everything
Video Solution
~savannahsolver
Video Solution (FASTEST METHOD!)
~Veer Mahajan
See Also
2016 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by First Problem |
Followed by Problem 2 | |
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 |
2016 AMC 12A (Problems • Answer Key • Resources) | |
Preceded by First Problem |
Followed by Problem 2 |
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 12 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.