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Chapter 10: Problem 54

Find the absolute value. $$ |14.8| $$

Short Answer

Expert verified
The absolute value of 14.8 is 14.8.

Step by step solution

01

Understand Absolute Value

The absolute value of a number is the distance of that number from 0 on the number line, regardless of direction. It is always a non-negative number.
02

Identify the Given Number

The given number in the exercise is 14.8.
03

Determine the Absolute Value

Since 14.8 is already a positive number, the absolute value is simply 14.8.

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Key Concepts

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

Non-Negative Numbers
Non-negative numbers are numbers that are either positive or zero. To understand this better:
- Positive numbers are greater than zero (e.g., 1, 2.5, 100)
- Zero is neither positive nor negative

Important Note: Negative numbers (e.g., -1, -5, -100) are not included in non-negative numbers.
This means non-negative numbers range from zero to positive infinity. When we talk about the absolute value, it鈥檚 important to remember that the result is always a non-negative number.
Distance from Zero
The concept of the 'distance from zero' helps us understand absolute values.

Here is a simple way to look at it:
  • Think of a number line, where 0 is your starting point.
  • Any number's absolute value is how far away it is from 0, no matter if it is to the right (positive) or left (negative) on the number line.

For example, the distance from 0 to 14.8 is just 14.8 units. Similarly, the distance from 0 to -14.8 is also 14.8 units.

This means whether the number is positive or negative, its absolute value is always a positive distance from zero.
Number Line
A number line is a simple yet powerful tool to visually understand numbers and their absolute values. Picture a horizontal line with evenly spaced marks where:
  • 0 is in the middle
  • Positive numbers (1, 2, 3,...) are on the right side
  • Negative numbers (-1, -2, -3,...) are on the left side


How to Use It:
  • Locate the number on the number line.
  • Measure the distance between this number and 0.

This measured distance is the absolute value of the number.
Using the example, 14.8 is to the right of 0, and its distance is 14.8 units. Hence, the absolute value of 14.8 is 14.8.

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Most popular questions from this chapter

Determine the sign of each expression if \(m\) is negative and \(n\) is positive. $$ -\left(\frac{-n}{m}\right) $$

Determine the sign of each expression if \(m\) is negative and \(n\) is positive. $$ -\left(\frac{-n}{-m}\right) $$

Subtract and simplify. \(6 \frac{1}{2}-2 \frac{3}{10}\)

Simplify. $$ -8^{2}-3 $$

Simplify. $$ 19-5(-3)+3 $$
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