Examples on Rational and Irrational Numbers
Example 1: Which of the following numbers is a rational number?
- √12
- 5/2
- π
- -3/7
Solution:
Option (2), (4) are correct
Example 2: Identify the number that is not a rational number?
- 3/4
- √5
- 0.75
- 1/3
Solution:
Option (2) is correct
Example 3: Check which of the following is irrational or rational: 1/2, 13, -4, √3, and π.
Solution:
Rational numbers are numbers that can be expressed in the form of p/q, where q is not equal to 0.1/2, 13, and -4 are rational numbers as they can be expressed as p/q.√3, and π are irrational numbers as they can not be expressed as p/q.
Example 4: Check if a mixed fraction, 3(5/6) is a rational number or an irrational number.
Solution:
Simplest form of 3(5/6) is 23/6
Numerator = 23, which is an integer
Denominator = 6, is an integer and not equal to zero.
So, 23/6 is a rational number.
Rational and Irrational Numbers
Rational numbers and Irrational numbers are real numbers with unlike characteristics. Rational numbers are the numbers which can be represented in the A/B form where B ≠ 0. Irrational numbers are the numbers that cannot be represented in A / B form. In this article, we’ll learn the concepts of rational numbers and irrational numbers and explore the difference between them.
Table of Content
- What is Rational number?
- How to identify rational numbers?
- What are Irrational Numbers?
- How to Identify Irrational Numbers?
- How to Classify Rational and Irrational Numbers?
- Difference Between Rational and Irrational Numbers
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