2024年AMC8数学竞赛真题+答案

Problem 1

What is the ones digit of \[222,22 2-22,222-2,222-222-22-2?\]$\textbf{(A) } 0\qquad\textbf{(B) } 2\qquad\textbf{(C) } 4\qquad\textbf{(D) } 6\qquad\textbf{(E) } 8$

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 $\boxed{\text{(C)\ 6.54}}$. ~ le_petit_chouetteur from TSMV

~Minor Formatting by GreenPlanet2050

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