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 1== | |
| − | + | We see that 44/11 is 4; | |
| + | 110/44 simplifies to 5/2, which is 2.5; | ||
| − | + | and 44/1100 simplifies to 1/25, which is 0.04; | |
| − | + | 4+2.5+0.04 reveals <cmath>\frac{44}{11} + \frac{110}{44} + \frac{44}{1100}</cmath> is <math>\boxed{\textbf{(C)\ 6.54}}</math>. | |
| + | ~ le_petit_chouetteur from TSMV | ||
| − | |||
==See Also== | ==See Also== | ||
{{AMC8 box|year=2024|num-b=1|num-a=3}} | {{AMC8 box|year=2024|num-b=1|num-a=3}} | ||
{{MAA Notice}} | {{MAA Notice}} | ||
Revision as of 13:37, 11 February 2024
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 44/11 is 4; 110/44 simplifies to 5/2, which is 2.5;
and 44/1100 simplifies to 1/25, which is 0.04;
4+2.5+0.04 reveals is 
.
~ le_petit_chouetteur from TSMV
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. 
