Chapter 2: Q48. (page 142)

Evaluate each expression if $m = - 8, n = 4,$ and $p = - 12$ .
$|- 2 p + m| - 3 n$

Short Answer

Expert verified

The value of the expression is $4$ .

Step by step solution

Step 1. Plug the values of the variables.

A variable is a letter or a literal used to signify an unknown quantity.

We are given the expression $|- 2 p + m| - 3 n$ and $m = - 8, n = 4,$ plugging these values:

We get:

localid="1643037484011" $\begin{array}{l} | - 2 p + m | - 3 n \\ = | - 2 \times (- 12) - 8 | - 3 \times 4 \end{array}$

Step 2. Simplify the expression.

$\begin{array}{l} | - 2 \times (- 12) - 8 | - 3 \times 4 \\ = | 24 - 8 | - 12 \\ = | 16 | - 12 \end{array}$

Step 3. Apply the definition of absolute function.

The absolute value or modulus of a real number x, denoted $|x|$ , it is the non-negative value of $x$ without regard to its sign.

$|x| = x$ if $x$ is positive,

$|x| = - x$ if $x$ is negative,

$|0| = 0$ .

For example, the absolute value of 5 is 5, and the absolute value of −5 is also 5.

We have the expression $| 16 | - 12$ , now using definition of absolute value function we get:

role="math" localid="1643037396602" $\begin{array}{l} | 16 | - 12 \\ = 16 - 12 \\ = 4 \end{array}$

Thus, the value of the expression is $4$ .

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Evaluate each expression if $m = - 8, n = 4,$ and $p = - 12$ .
$|- 2 p + m| - 3 n$

Short Answer

Step by step solution

Step 1. Plug the values of the variables.

Step 2. Simplify the expression.

Step 3. Apply the definition of absolute function.

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Evaluate each expression if m=−8,n=4,andp=−12.−2p+m−3n

Short Answer

Step by step solution

Step 1. Plug the values of the variables.

Step 2. Simplify the expression.

Step 3. Apply the definition of absolute function.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Statistics

Logic and Functions

Probability and Statistics

Applied Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

Evaluate each expression if $m = - 8, n = 4,$ and $p = - 12$ .
$|- 2 p + m| - 3 n$