/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 43 Find each absolute value and sim... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 43

Find each absolute value and simplify if needed. $$ |-8| $$

Short Answer

Expert verified
8

Step by step solution

01

Understand Absolute Value

The absolute value of a number is its non-negative value regardless of its sign. It is denoted by two vertical bars. For example, \(|-8|\).
02

Remove the Negative Sign

To find the absolute value, remove the negative sign from -8. So, \(|-8|\rightarrow 8\).

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.

Non-Negative Value
When we talk about the absolute value of a number, we refer to its non-negative value. This means we look at how far the number is from zero on the number line without considering its direction. For example, both 8 and -8 have the same absolute value, which is 8, because both are 8 units away from zero. This is why absolute values are always non-negative.
Remove Negative Sign
To find the absolute value of a negative number, we simply remove the negative sign. For instance, to find the absolute value of \(-8\), we drop the '-' sign and get 8. This makes sense because absolute value measures distance from zero, and distance can't be negative. So, whenever you encounter a negative number inside absolute value bars, just remove the negative sign.
Absolute Value Notation
The absolute value is written using vertical bars surrounding the number. For example, the absolute value of -8 is written as \(|-8|\). This notation tells us to find how far the value inside the bars is from zero. It鈥檚 a very efficient way to denote non-negative values without explicitly stating whether the original number is positive or negative. Understanding this notation is crucial because it simplifies dealing with distances both in basic arithmetic and in more advanced mathematics.

One App. One Place for Learning.

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

Get started for free

Most popular questions from this chapter

Find each square root. If it is not a real number, say so. $$ \sqrt{\frac{100}{121}} $$

Evaluate each expression for \(a=-3, b=64,\) and \(c=6 .\) $$ 4 a^{3}+2 c $$

Simplify each expression. $$ -3(5)^{2}-(-2)(-8) $$

If \(a\) is a positive number, is \(-\sqrt{a}\) positive, negative, or not a real number?

Simplify each expression. $$ -9(2)^{2}-(-3)(-2) $$
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Pure Maths

Read Explanation

Decision Maths

Read Explanation

Logic and Functions

Read Explanation

Applied Mathematics

Read Explanation

Probability and Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.