Question

Which of the following have a value equal to |37|?

A. –37
B. |–37|
C. 0
D. –(–37)
E. 37

Answer 1

The values that are equal to |37| are B. |–37|, D. –(–37), and E. 37, since the absolute value of a number is its non-negative value and the double negative in Option D cancels out.

Step-by-step explanation:

The question asks which of the following have a value equal to |37|:

1. A. –37
2. B. |–37|
3. C. 0
4. D. –(–37)
5. E. 37

The absolute value of a number is the non-negative value of that number without regard to its sign. Therefore, |37| is 37. Option E, which is just 37, is clearly the same as |37|. Also, option B, |–37|, is equal to 37 because the absolute value of -37 is also 37. Lastly, option D, –(–37), simplifies to 37 because the double negative cancels out. Therefore, both option B and D are values equal to |37| as well.