Question

Explain the difference between a rational number and an irrational number.

Name: Problem 105, Chapter 4: Intermediate Algebra for College Students
Uploaded: 2020-04-16T17:26:49-08:00
Duration: 1 min 25 s
Channel: Rebecca Dias
Description: Explain the difference between a rational number and an irrational number.

   Explain the difference between a rational number and an irrational number.

Intermediate Algebra for College Students

Allen R. Angel;… 10th Edition

Chapter 4, Problem 105

Instant Answer

Solved by Expert Rebecca Dias

04/16/2020

Step 1

In other words, a rational number can be represented as a/b, where a and b are integers and b ≠ 0. Rational numbers include whole numbers, fractions, and decimals that either terminate or repeat. Show more…

Show all steps

Thanks for your feedback!

Explain the difference between a rational number and an irrational number.

Play audio

Feedback

Rebecca Dias and 82 other 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

Rational Numbers

Rational numbers are numbers that can be represented as the quotient of two integers, where the denominator is not zero. They include integers, fractions, and decimals that terminate or exhibit a repeating pattern. This concept is fundamental in number theory and arithmetic as it allows for simplified calculations and analysis of number properties.

Irrational Numbers

Irrational numbers cannot be expressed as a quotient of two integers, meaning they lack a precise fractional representation. Their decimal forms are non-terminating and non-repeating, which highlights a different type of numerical behavior. Recognizing irrational numbers is essential for understanding the continuity and completeness of the real numbers, as they fill the gaps between rational numbers.

Please give Ace some feedback