Representing Rational Numbers on Real Line
Rational Numbers are Real Numbers. Hence they can be represented on real line. There are following steps that need to be followed to represent rational numbers on real line.
Step 1: First find if the number is positive or negative if positive then it will be plotted on the RHS of zero and if positive it will be on the LHS of zero.
Step 2: Identify if the given rational number is proper or improper. If proper then it will lie between 0 and 1 in case of positive and 0 and -1 in case of negative rational number.
Step 3: If improper then convert it into a mixed fraction. In this case, the rational number will lie just beyond the whole number part.
Step 4: Now after steps 1, 2, and 3 we have to plot only the proper fraction part. To plot this cut the area between the two successive desired numbers by drawing lines n-1 times where n is the denominator of the proper fraction part.
Step 5: Now count the lines equal to the value of the numerator. This will represent the desired rational number on a real line.
Let’s see some examples:
Example 1: Represent 2/5 on Real Line
Solution:
Example 2: Represent -2/5 on Real Line
Solution:
Example 3: Represent 4/3 on Real Line
Solution:
4/3 = 1(1/3)
Example 4: Represent -4/3 on Real Line
Solution:
-4/3 = -{1(1/3)}
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