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Difference between revisions of "2014 CEMC Gauss (Grade 8) Problems/Problem 5"

(Created page with "==Problem== Which of the following integers is closest to zero? <math> \text{ (A) }\ -1101\qquad\text{ (B) }\ 1011\qquad\text{ (C) }\ -1010\qquad\text{ (D) }\ -1001\qquad\t...")
 
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<math>|1110| = 1110</math>
 
<math>|1110| = 1110</math>
  
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The smallest of these numbers is <math>1001</math>. Thus, the answer is $-100
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The smallest of these numbers is <math>1001</math>. Thus, the answer is <math>\boxed {\textbf {(D) } -1001}</math>.

Revision as of 13:33, 23 April 2025

Problem

Which of the following integers is closest to zero?

$\text{ (A) }\ -1101\qquad\text{ (B) }\ 1011\qquad\text{ (C) }\ -1010\qquad\text{ (D) }\ -1001\qquad\text{ (E) }\ 1110$

Solution

We need to find the number that has the least distance to 0. To do this, we can take the absolute value of each number, and see which number is the lowest:

$|-1101| = 1101$

$|1011| = 1011$

$|-1010| = 1010$

$|-1001| = 1001$

$|1110| = 1110$

The smallest of these numbers is $1001$. Thus, the answer is $\boxed {\textbf {(D) } -1001}$.

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