QuestionFind the value of the expression using order of operations: $3|57-(-12-84)| = \square$ .

Studdy Solution

STEP 1

Assumptions1. The absolute value of a number is its distance from zero on a number line, and it is always positive. . The order of operations, often remembered by the acronym PEMAS, stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

STEP 2

First, we need to simplify the expression inside the parentheses. According to the order of operations, we should perform the operation inside the parentheses first.
$|57-(-12-84)| =|57-(-96)|$

STEP 3

Next, subtract the negative number inside the parentheses. Remember that subtracting a negative number is the same as adding a positive number.
$3|57-(-96)| =3|57+96|$

STEP 4

Now, add the numbers inside the absolute value bars.
$3|57+96| =3|153|$

STEP 5

The absolute value of a number is its distance from zero on a number line, and it is always positive. So, the absolute value of153 is153.
$3|153| =3 \times153$

STEP 6

Finally, multiply3 by153 to find the value of the expression.
$3 \times153 =459$ So, $3|57-(-12-84)| =459$ .

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