Difference between revisions of "2017 AMC 8 Problems/Problem 1"

Revision as of 13:50, 18 January 2021

Problem

Which of the following values is largest?

$\textbf{(A) }2+0+1+7\qquad\textbf{(B) }2 \times 0 +1+7\qquad\textbf{(C) }2+0 \times 1 + 7\qquad\textbf{(D) }2+0+1 \times 7\qquad\textbf{(E) }2 \times 0 \times 1 \times 7$

Solution 1

We will compute each expression. A) $2+0+1+7=10$ . B) $2 \times 0+1+7=8$ C) $2+0\times 1+7=9$ D) $2+0+1\times 7=9$ . E) $2\times 0\times 1 \times 7 =0$ Ordering these we get $10,8,9,9,0$ Out of these $10$ is the largest number. Option $(A)$ adds up to ten. Therefore, the answer is $\boxed{(A) 2+0+1+7}$ - SBose

Solution 2

We immediately see that every one of the choices, except for A and D, has a number multiplied by $0$ . This will only make the expression's value smaller. We are left with A and D, but in D, $1$ is multiplied by $7$ to get $7$ , whereas in answer choice A, we get $8$ out of $7$ and $1$ , instead of $7$ . Therefore, $\boxed{(A) 2+0+1+7}$ is your answer.

Video Solution

https://youtu.be/cY4NYSAD0vQ

2017 AMC 8 (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 AJHSME/AMC 8 Problems and Solutions

These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions.

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−	==Problem 1==	+	==Problem==

	Which of the following values is largest?		Which of the following values is largest?

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