Question

rewrite the mathematical expression in sentence form.
$-|-5|$
the expression translates as \the --select-- of negative 5.\
find the value of each of the following expressions.
$|-5| = $
$-|-5| = $
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add the integers without a calculator.
$-3 + (-8)$

Explanation:

Step1: Define absolute value

The absolute value of a number is its distance from 0 on the number line, so $|-5| = 5$.

Step2: Evaluate the negative of absolute value

Take the negative of the result from Step1: $-|-5| = -5$.

Step3: Translate the expression

The notation $|-5|$ is "absolute value of negative 5", so $-|-5|$ is "the negative of the absolute value of negative 5" (the blank corresponds to "negative of the absolute value").

Step4: Add the given integers

Adding two negative integers: $-3 + (-8) = -(3+8) = -11$.

Answer:

The expression translates as "the negative of the absolute value of negative 5."
$|-5| = 5$
$-|-5| = -5$
$-3 + (-8) = -11$