QuestionEvaluate $-4|5+m|$ for $m=-3$ . What is the result?

Studdy Solution

STEP 1

Assumptions1. The value of $m$ is given as $-3$ . . The expression to be evaluated is $-4|5+m|$ .

STEP 2

First, we need to substitute the given value of $m$ into the expression.
$-4|5+(-)|$

STEP 3

Now, simplify the expression inside the absolute value sign.
$-|5-3|$

STEP 4

Calculate the value inside the absolute value sign.
$-4|2|$

STEP 5

The absolute value of2 is2, so the expression becomes $-4 \times2$

STEP 6

Finally, calculate the value of the expression.
$-4 \times2 = -8$ The value of the expression is $-8$ .

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QuestionEvaluate $-4|5+m|$ for $m=-3$ . What is the result?

Studdy Solution

STEP 1

Assumptions1. The value of $m$ is given as $-3$ . . The expression to be evaluated is $-4|5+m|$ .

STEP 2

First, we need to substitute the given value of $m$ into the expression.
$-4|5+(-)|$

STEP 3

Now, simplify the expression inside the absolute value sign.
$-|5-3|$

STEP 4

Calculate the value inside the absolute value sign.
$-4|2|$

STEP 5

The absolute value of2 is2, so the expression becomes $-4 \times2$

STEP 6

Finally, calculate the value of the expression.
$-4 \times2 = -8$ The value of the expression is $-8$ .

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QuestionEvaluate −4∣5+m∣-4|5+m|−4∣5+m∣ for m=−3m=-3m=−3. What is the result?

Studdy Solution

STEP 1

Assumptions1. The value of mmm is given as −3-3−3. . The expression to be evaluated is −4∣5+m∣-4|5+m|−4∣5+m∣.

STEP 2

First, we need to substitute the given value of mmm into the expression.−4∣5+(−)∣-4|5+(-)|−4∣5+(−)∣

STEP 3

Now, simplify the expression inside the absolute value sign.−∣5−3∣-|5-3|−∣5−3∣

STEP 4

Calculate the value inside the absolute value sign.−4∣2∣-4|2|−4∣2∣

STEP 5

The absolute value of2 is2, so the expression becomes−4×2-4 \times2−4×2

STEP 6

Finally, calculate the value of the expression.−4×2=−8-4 \times2 = -8−4×2=−8The value of the expression is −8-8−8.

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QuestionEvaluate $-4|5+m|$ for $m=-3$ . What is the result?

Assumptions1. The value of $m$ is given as $-3$ . . The expression to be evaluated is $-4|5+m|$ .

First, we need to substitute the given value of $m$ into the expression.
$-4|5+(-)|$

Now, simplify the expression inside the absolute value sign.
$-|5-3|$

Calculate the value inside the absolute value sign.
$-4|2|$

The absolute value of2 is2, so the expression becomes $-4 \times2$

Finally, calculate the value of the expression.
$-4 \times2 = -8$ The value of the expression is $-8$ .