Question

Simplify. $$\left|-\frac{4}{9}\right|-\left|-\frac{5}{9}\right| |$$

   Simplify.
$$\left|-\frac{4}{9}\right|-\left|-\frac{5}{9}\right| |$$

Prealgebra and Introductory Algebra

Prealgebra and Introductory Algebra

Richard N. Aufmann,… 3rd Edition

Chapter 3, Problem 37

Instant Answer

Solved by Expert Ashley Hanson

06/23/2020

Step 1

The absolute value of a number is its distance from zero on the number line, which is always positive. So, the absolute value of $-\frac{4}{9}$ is $\frac{4}{9}$ and the absolute value of $-\frac{5}{9}$ is $\frac{5}{9}$. So, we Show more…

Show all steps

lock

Thanks for your feedback!

Simplify. $$\left|-\frac{4}{9}\right|-\left|-\frac{5}{9}\right| |$$

Play audio

Feedback

Powered by NumerAI

Ashley Hanson and 100 other subject Algebra educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Absolute Value Function

The absolute value function measures the distance of a number from zero and always yields a non-negative result. When evaluating the absolute value, any negative input is converted to its positive counterpart, which is fundamental to understanding expressions that include absolute values.

Arithmetic Simplification

Simplification of arithmetic expressions involves applying basic operations such as subtraction and fraction arithmetic according to established algebraic rules. Recognizing that the absolute value converts negative numbers to positive allows one to directly subtract the results and simplify the expression further.

Recommended Videos

Transcript

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later