2014 CEMC Gauss (Grade 7) Problems/Problem 2

Problem

Which of the following is closest to 100 on the number line?

$\textbf{(A)}\ 98\qquad\textbf{(B)}\ 95\qquad\textbf{(C)}\ 103\qquad\textbf{(D)}\ 107\qquad\textbf{(E)}\ 110$

We can calculate the distance from 100 for each of the numbers, and see which distance is the lowest:

$|98 - 100| = 2$

$|95 - 100| = 5$

$|103 - 100| = 3$

$|107 - 100| = 7$

$|110 - 100| = 10$

Of the answer choices, the number with the smallest distance to 100 is $\boxed {\textbf {(A) } 98}$ .

We can place the numbers on a number line.

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As shown by the number line, the answer choice with the smallest distance to 100 is $\boxed {\textbf {(A) } 98}$ .