How to Identify Rational Numbers?
All the rational numbers follow the following rules, thus using the help of these rules we can identify the rational numbers
- Rational numbers are represented in the form of p/q, where q≠0.
- Ratio p/q can be further simplified in simple form or decimal expansion.
- Non-terminating decimals with repeating decimal values are also considered rational numbers as they can be represented in the form of p/q.
Example: Which of the following numbers are rational numbers?
a) -1.75
b) 2/3
c) √5
d) π
Solution:
a) -1.75 is a rational number as it it has a terminating decimal expansion.
b) 2/3 is also a rational number as it can be expressed in the form of a ratio of two integers.
c) √5 is an irrational number because it has a decimal expansion with infinitely many digits without any repeatation.
d) π is also an irrational number as it has a decimal expansion with infinitely many digits without any repeaatation.
Thus, only (a) and (b) are the rational numbers out of all the given numbers.
Rational Numbers: Definition, Examples, Worksheet
Rational Numbers are numbers written in terms of the ratio of two integers, where the denominator is not zero. In maths, Rational numbers are a type of real numbers that can be written in the form of p/q, where q ≠ 0. Any fraction is a rational number provided its denominator should not be zero.
Examples of Rational Numbers include 12/21, 34/2, -22 etc. In other words, a rational number is any number that can be written in the form of a/b, where a and b are integers and b is not equal to zero.
In this article, we have provided everything related to Rational numbers including, definitions, examples, types, a list of rational numbers, and how to identify rational numbers.
Table of Content
- What is a Rational Numbers?
- Examples of Rational Numbers
- Representation of Rational Numbers
- Types of Rational Numbers
- How to Identify Rational Numbers?
- List of Rational Numbers in Number System
- Arithmetic Operations on Rational Numbers
- Addition of Rational Numbers
- Subtraction of Rational Numbers
- Multiplication of Rational Numbers
- Division of Rational Numbers
- Equivalent Rational Numbers
- Decimal Expansion of Rational Numbers
- Multiplicative Inverse of a Rational Number
- Rational Numbers Properties
- Find Rational Numbers between Two Rational Numbers?
- Representing Rational Numbers on Real Line
- Rational and Irrational Numbers