Difference between revisions of "2024 AMC 8 Problems/Problem 2"
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| + | ==Problem 2 == | ||
| + | What is the value of this expression in decimal form? | ||
| + | <cmath>\frac{44}{11} + \frac{110}{44} + \frac{44}{1100}</cmath> | ||
| + | <math>\textbf{(A) } 6.4\qquad\textbf{(B) } 6.504\qquad\textbf{(C) } 6.54\qquad\textbf{(D) } 6.9\qquad\textbf{(E) } 6.94</math> | ||
| − | ==Solution== | + | ==Solution 1== |
| − | + | ||
| + | We see that <math>\frac{44}{11}</math> is <math>4</math>; | ||
| + | <math>\frac{110}{44}</math> simplifies to <math>\frac{5}{2}</math>, which is <math>2.5</math>; | ||
| + | |||
| + | and <math>\frac{44}{1100}</math> simplifies to <math>\frac{1}{25}</math>, which is <math>0.04</math>; | ||
| + | |||
| + | <math>4+2.5+0.04</math> reveals <cmath>\frac{44}{11} + \frac{110}{44} + \frac{44}{1100}</cmath> is <math>\boxed{\text{(C)\ 6.54}}</math>. | ||
| + | ~ le_petit_chouetteur from TSMV | ||
| + | |||
| + | ~Minor Formatting by GreenPlanet2050 | ||
| + | |||
| + | ==Video Solution (A Clever Explanation You’ll Get Instantly)== | ||
| + | https://youtu.be/5ZIFnqymdDQ?si=-FCGnA5WXQNp-JMF&t=175 | ||
| + | |||
| + | ~hsnacademy | ||
| + | |||
| + | ==Video Solution 1 (Quick and Easy!)== | ||
| + | https://youtu.be/nzPT89ymlKk | ||
| + | |||
| + | ~Education, the Study of Everything | ||
| + | |||
| + | ==Video Solution by Math-X (First understand the problem!!!)== | ||
| + | https://youtu.be/BaE00H2SHQM?si=noTBPTosCtH31CpW&t=287 | ||
| + | |||
| + | ~Math-X | ||
| + | |||
| + | ==Video Solution by Daily Dose of Math (Understandable, Speedy, and Easy)== | ||
| + | |||
| + | https://youtu.be/bSPWqeNO11M?si=HIzlxPjMfvGM5lxR | ||
| + | |||
| + | ~Thesmartgreekmathdude | ||
| + | |||
| + | ==See Also== | ||
| + | {{AMC8 box|year=2024|num-b=1|num-a=3}} | ||
| + | {{MAA Notice}} | ||
Latest revision as of 19:35, 28 August 2024
Contents
Problem 2
What is the value of this expression in decimal form?
![\[\frac{44}{11} + \frac{110}{44} + \frac{44}{1100}\]](http://latex.artofproblemsolving.com/5/c/7/5c7e5b58fa8556742330357616baa41f8daabd7a.png)
Solution 1
We see that 
is 
;
simplifies to 
, which is 
;
and 
simplifies to 
, which is 
;
reveals is 
.
~ le_petit_chouetteur from TSMV
~Minor Formatting by GreenPlanet2050
Video Solution (A Clever Explanation You’ll Get Instantly)
https://youtu.be/5ZIFnqymdDQ?si=-FCGnA5WXQNp-JMF&t=175
~hsnacademy
Video Solution 1 (Quick and Easy!)
~Education, the Study of Everything
Video Solution by Math-X (First understand the problem!!!)
https://youtu.be/BaE00H2SHQM?si=noTBPTosCtH31CpW&t=287
~Math-X
Video Solution by Daily Dose of Math (Understandable, Speedy, and Easy)
https://youtu.be/bSPWqeNO11M?si=HIzlxPjMfvGM5lxR
~Thesmartgreekmathdude
See Also
| 2024 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 1 |
Followed by Problem 3 | |
| 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 AJHSME/AMC 8 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
