2017 AMC 8 Problems/Problem 1

Problem 1

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 compute each expression individually according to the order of operations. We get $2 + 0 + 1 + 7 = 10$ , $2 \times 0 + 1 + 7 = 8$ , $2 + 0 \times 1 + 7 = 9$ , $2 + 0 + 1 \times 7 = 9$ , and $2 \times 0 \times 1 \times 7 = 0$ . Since $10$ is the greatest out of these numbers, $\boxed{\textbf{(A) }2+0+1+7}$ is the answer.

Solution 1

We immediately see that each of the other choices, except for A, has a number multiplied by $0$ . This will only make the expression's value smaller, obviously. Therefore $\boxed{\textbf{(A) }2+0+1+7}$ is your answer

2017 AMC 8 (Problems • Answer Key • Resources)
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All AJHSME/AMC 8 Problems and Solutions

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2017 AMC 8 Problems/Problem 1

Contents

Problem 1

Solution 1

Solution 1

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