Problem 72 Find each absolute value. $$|4... [FREE SOLUTION]

Chapter 1: Problem 72

Find each absolute value. $$|4.3|$$

Short Answer

Expert verified

|4.3| = 4.3

Step by step solution

Understand Absolute Value

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

Identify the Number

Look at the number inside the absolute value sign. In this case, it is 4.3.

Determine the Absolute Value

Since 4.3 is already a positive number, its absolute value remains the same. Therefore, $ |4.3| = 4.3 $

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

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

distance from zero

When we talk about absolute value, a crucial idea to understand is the 'distance from zero.' Imagine you are standing on a number line. The distance from zero is simply how far you have to walk to reach the number you are looking at, without considering the direction. Whether the number is to the left of zero (negative) or to the right of zero (positive), the distance is always counted as a positive number. For instance, the distance from 4.3 to zero is 4.3 units. The same applies to -4.3; its distance from zero would also be 4.3 units. Therefore, the absolute value of any number is its distance from zero, making $|4.3| = 4.3 $.

number line

The number line is a visual tool used in mathematics to represent numbers in a straight line. Each point on this line corresponds to a unique number. Let's break it down further:

**Zero** sits right at the center, acting as our home base.
**Positive numbers** line up to the right of zero.
**Negative numbers** stretch to the left of zero.

So when we talk about absolute value, we are thinking about how far a number is from this central point of zero. If we plot the number 4.3 on this line, it will be to the right of zero. To find the absolute value, all you need to consider is how many steps or units you must move from zero to reach this number, which is exactly 4.3 in this case. Therefore, $|4.3|=4.3 $.

non-negative number

An important aspect of absolute value is that it is always a non-negative number. This means the result can either be positive or zero, but it will never be negative. The term 'non-negative' is simpler than you might think:

'Non' means 'not.' So, non-negative means 'not negative.'
Therefore, non-negative numbers include all positive numbers, as well as zero.

If we look at the example $ |4.3| $, the absolute value here is 4.3, which is a positive number. No matter whether the original number is positive or negative, the absolute value will turn it into a non-negative result. This helps us to easily compare distances without worrying about directions. Hence, the solution $|4.3|=4.3 $ perfectly showcases that absolute values are always non-negative.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Find each absolute value. $$|4.3|$$

Short Answer

Step by step solution

Understand Absolute Value

Identify the Number

Determine the Absolute Value

Key Concepts

distance from zero

number line

non-negative number

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Logic and Functions

Decision Maths

Statistics

Calculus

Mechanics Maths

Study anywhere. Anytime. Across all devices.