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Chapter 15: Problem 7

Find each absolute value. $$ |4| $$

Short Answer

Expert verified
The absolute value of 4 is 4.

Step by step solution

01

Understand Absolute Value

The absolute value of a number is the distance of that number from zero on a number line, regardless of direction. It is always a non-negative number.
02

Identify the Number

The number provided in the exercise is 4.
03

Compute Absolute Value

Since 4 is already a positive number, its absolute value is the number itself. Therefore, \(|4| = 4\).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Number Line
A number line is a straight, horizontal line that visually represents numbers. The basic idea is to use this line to compare and order numbers. Think of it as a ruler for numbers. Each point on the line corresponds to a number. The center of the number line is typically zero.

Numbers to the right of zero are positive, while numbers to the left are negative. Here's why the number line is helpful:
  • It helps us visualize concepts like absolute value, distance between numbers, and even basic arithmetic operations like addition and subtraction.
  • On a number line, the distance of any number from zero is known as its absolute value.
This makes it easier to understand the concept of absolute value, like in our example where \(|4| = 4\).
Non-Negative Number
Non-negative numbers are numbers that are either positive or zero. They are not negative and can be represented as follows:

  • Positive numbers like 1, 2, 3
  • Zero (0)
Since absolute value measures the distance from zero, it always results in a non-negative number.

For instance, let's look at our exercise: The number given is 4. Since 4 is already positive, its absolute value is the same number, making it a non-negative number.鈥� }, {

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Most popular questions from this chapter

Two cars leave Denver traveling in opposite directions. One car travels at a speed of \(75 \mathrm{km} / \mathrm{h}\) and the other at \(88 \mathrm{km} / \mathrm{h} .\) In how many hours will they be \(489 \mathrm{km}\) apart?

Solve each system using the substitution method. $$ \begin{array}{r} {x-4 y=3} \\ {5 x+3 y=4} \end{array} $$

Multiply. $$ 3(5 y+1) $$

Solve each system using the elimination method. $$ \begin{array}{l} {12 x-6 y=-15} \\ {-4 x+2 y=5} \end{array} $$

Find the zero of each function. $$ f(x)=2 x+9 $$
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