2017 AMC 8

Complete problem set with solutions and individual problem pages

Problem 1 Easy

Which of the following values is largest?

  • A.

    2+0+1+7

  • B.

    2 \times 0 +1+7

  • C.

    2+0 \times 1 + 7

  • D.

    2+0+1 \times 7

  • E.

    2 \times 0 \times 1 \times 7

Answer:A

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 and option (A) adds up to 10. Therefore, the answer is \boxed{\textbf{(A) } 2+0+1+7}.

 

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{\textbf{(A) } 2+0+1+7} is your answer.

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