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

When you compute all of the given expressions, you get $\boxed{\textbf{(A) }2+0+1+7}$ as the largest.

~pegasuswa

Solution 2

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.

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 2

See Also