Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Mar 07, 2024

Evaluate the absolute value of $-13$ and $7$ .

STEP 1

Assumptions
1. The absolute value function, denoted as $|x|$ , is defined as the non-negative value of $x$ without regard to its sign.
2. For any real number $x$ , $|x| = x$ if $x \geq 0$ and $|x| = -x$ if $x < 0$ .

STEP 2

Evaluate the absolute value of $-13$ using the definition of the absolute value function.
$|-13| = -(-13)$

STEP 3

Calculate the value after negating $-13$ .
$|-13| = 13$

STEP 4

Evaluate the absolute value of $7$ using the definition of the absolute value function.
Since $7$ is already positive, $|7| = 7$ .

STEP 5

Combine the results from STEP_3 and STEP_4 to write the final answer.
$\begin{array}{r} |-13|= 13 \\ |7|= 7 \end{array}$

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