Evaluate the following: | -15 | = __ and | 13 | = __

Question image

Understand the Problem

The question is asking us to evaluate the absolute values of -15 and 13. The absolute value of a number is its distance from zero on the number line, regardless of direction.

Answer

$$ |-15| = 15 $$ and $$ |13| = 13 $$
Answer for screen readers

The evaluated values are:

$$ |-15| = 15 $$

and

$$ |13| = 13 $$

Steps to Solve

  1. Evaluate the absolute value of -15

The absolute value of a negative number is its positive counterpart. Therefore,

$$ |-15| = 15 $$

  1. Evaluate the absolute value of 13

The absolute value of a positive number is the number itself. Thus,

$$ |13| = 13 $$

The evaluated values are:

$$ |-15| = 15 $$

and

$$ |13| = 13 $$

More Information

The absolute value function is widely used in mathematics to express distance and magnitude. For any real number $x$, the absolute value $|x|$ is defined as:

  • $x$ if $x \geq 0$
  • $-x$ if $x < 0$

Tips

  • A common mistake is to forget that absolute value measures distance, not the original number, leading to incorrect signs. To avoid this, remember that absolute values are always non-negative.

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