2024 AMC 8 Problems/Problem 2: Difference between revisions

Latest revision as of 20:57, 20 August 2025

Problem 2

What is the value of this expression in decimal form? $\frac{44}{11} + \frac{110}{44} + \frac{44}{1100}$ $\textbf{(A) } 6.4\qquad\textbf{(B) } 6.504\qquad\textbf{(C) } 6.54\qquad\textbf{(D) } 6.9\qquad\textbf{(E) } 6.94$

Solution 1

We see that $\frac{44}{11}$ is $4$ ; $\frac{110}{44}$ simplifies to $\frac{5}{2}$ , which is $2.5$ ;

and $\frac{44}{1100}$ simplifies to $\frac{1}{25}$ , which is $0.04$ ;

$4+2.5+0.04$ reveals $\frac{44}{11} + \frac{110}{44} + \frac{44}{1100}$ is $\boxed{\text{(C)\ 6.54}}$ . ~

~Minor Formatting by GreenPlanet2050

Video Solution 1 (Detailed Explanation) 🚀⚡📊

Youtube Link ⬇️

https://youtu.be/tLcIeR_Bg58

~ ChillGuyDoesMath :)

Video Solution by Central Valley Math Circle(Goes Through Full Thought Process)

https://www.youtube.com/watch?v=LoRrSfYvM9g

~mr_mathman

Video by MathTalks_Now

https://www.youtube.com/watch?v=crn37TRMLv4

-rc1219

Video Solution by Math-X (MATH-X)

https://youtu.be/BaE00H2SHQM?si=noTBPTosCtH31CpW&t=287

~Math-X

Video Solution (A Clever Explanation You’ll Get Instantly)

https://youtu.be/5ZIFnqymdDQ?si=-FCGnA5WXQNp-JMF&t=175

~hsnacademy

Video Solution (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

Video Solution by WhyMath

https://youtu.be/MasK0Z6wxR4

Video solution by TheNeuralMathAcademy

https://youtu.be/f63MY1T2MgI&t=164s

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

These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. Error creating thumbnail: File missing

@@ Line 1: / Line 1: @@
-Knock knock
+==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>
-whos there
+==Solution 1==
-your mom
+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>;
-your mom who
+and <math>\frac{44}{1100}</math> simplifies to <math>\frac{1}{25}</math>, which is <math>0.04</math>;
-nothing thats literally the entire joke
+<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>.
+~
-==Video Solution by Math-X (First fully understand the problem!!!)==
+~Minor Formatting by GreenPlanet2050
-https://www.youtube.com/watch?v=dQw4w9WgXcQ
-~Rick Atsley
-Note: thiss link was made by @iamatinychildwhoisincapableofdoinganything,existentornonexistent
-==Video Solution by Interstigation==
-https://youtu.be/ktzijuZtDas&t=108
+== Video Solution 1 (Detailed Explanation) 🚀⚡📊 ==
+Youtube Link ⬇️
+https://youtu.be/tLcIeR_Bg58
+~ ChillGuyDoesMath :)
+==Video Solution by Central Valley Math Circle(Goes Through Full Thought Process)==
+https://www.youtube.com/watch?v=LoRrSfYvM9g
+~mr_mathman
+== Video by MathTalks_Now ==
+https://www.youtube.com/watch?v=crn37TRMLv4
+-rc1219
+==Video Solution by Math-X (MATH-X)==
+https://youtu.be/BaE00H2SHQM?si=noTBPTosCtH31CpW&t=287
+~Math-X
+==Video Solution (A Clever Explanation You’ll Get Instantly)==
+https://youtu.be/5ZIFnqymdDQ?si=-FCGnA5WXQNp-JMF&t=175
+~hsnacademy
+==Video Solution (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
+==Video Solution by WhyMath==
+https://youtu.be/MasK0Z6wxR4
+== Video solution by TheNeuralMathAcademy ==
+https://youtu.be/f63MY1T2MgI&t=164s
 ==See Also==
 {{AMC8 box|year=2024|num-b=1|num-a=3}}
 {{MAA Notice}}
+[[Category:Introductory Combinatorics Problems]]

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