RS Aggarwal Solutions Class 7 Maths Chapter 4 Rational Numbers: You can score excellently in your Class 7 Maths exam by studying the RS Aggarwal Solutions Class 7 Maths. All the solutions of RS Aggarwal Solutions Class 7 Maths Chapter 4 Rational Numbers are as per the current CBSE Syllabus, easy to understand, well-explained, and very credible, thanks to the subject matter experts.
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RS Aggarwal Solutions Class 7 Maths Chapter 4 – Rational Numbers
RS Aggarwal Solutions Class 7 Maths Chapter 4 Rational Numbers – Overview
- Rational Number
A number that can be expressed in the form of p/q where q ≠ 0 is called a rational number. Eg: 1/3, 50/34, 72/99, etc. A rational number can be positive, negative, and zero as well as expressed in the form of a fraction. Hence, all the whole numbers are rational numbers.
- Properties Of Rational Numbers
- Closure Property: A+B=B+A
A*B=B*A
- Associative Property: A+(B+C)=(A+B)+C
(A*B)*C= A*(B*C)
- Distributive Property: A*(B+C)=A*B+A*C
- Standard Form Of Rational Numbers
When the denominators and numerators of a rational number have only a common factor of 1, it is said to be standard.
For example; 24/120, a rational number with the numerator and denominator are 24 and 120 respectively, have more than 1 common factor. When 24/48 is simplified, we get ½ which is in standard form. ½ is in standard form since 1 and 2 have no common factor other than 1.
- Difference b/w Positive and negative Rational Numbers
Positive Rational Numbers |
Negative Rational Numbers |
Definition: A Rational number is said to be positive if both the numerator and denominator have the same signs. Examples: 13/72, 1/4, 25/50 |
Definition: A Rational number is said to be negative if the numerator and denominator have opposite signs. Examples : -13/72 , -1/4 , -25/50 |
Range: Greater than 0 |
Range: Less than 0 |
- Multiplicative Inverse Of Rational Numbers
The multiplicative inverse of a rational number is the reciprocal of a given rational number. So, the multiplication of the rational number and the multiplicative inverse should always be equal to 1.
- Additive Inverse Of Rational Numbers
The additive inverse of a rational number is the number when added to the rational number gives a zero. So, the additive inverse of a rational number is negative of that rational number.
- Difference b/w Rational and Irrational Numbers
Rational Numbers |
Irrational Numbers |
Definition: A rational number is defined as a number that can be expressed in the form of p/q where q ≠ 0. |
Definition: A rational number is defined as a number that cannot be expressed in the form of p/q. |
It includes only the decimals that are finite and are recurring. |
It includes the number that is non-terminating or non-recurring. |
Example: 10/13, 1.4444, 1.12346…. |
Example: √ 55, √ 5, √ 34 |
RS Aggarwal Solutions Class 7 Maths Chapter 4 Rational Numbers – Important Exercises
RS Aggarwal Solutions Class 7 Maths Chapter 4 Ex 4.1
RS Aggarwal Solutions Class 7 Maths Chapter 4 Ex 4.2
RS Aggarwal Solutions Class 7 Maths Chapter 4 Ex 4.3
RS Aggarwal Solutions Class 7 Maths Chapter 4 Ex 4.4
RS Aggarwal Solutions Class 7 Maths Chapter 4 Ex 4.5
RS Aggarwal Solutions Class 7 Maths Chapter 4 Ex 4.6
RS Aggarwal Solutions Class 7 Maths Chapter 4 Ex 4.7
This is the complete blog on the RS Aggarwal Solutions Class 7 Maths Chapter 4 Rational Numbers. To know more about the CBSE Class 7 Maths exam, ask in the comments.
FAQs on RS Aggarwal Solutions Class 7 Maths Chapter 4 Rational Numbers
How many exercises are there in Class 7 Chapter 4 Rational Number?
There are 7 exercises in Class 7 Chapter 4 Rational Number.
How much does it cost to download the Class 7 Chapter 4 Rational Number PDF?
It is free of cost.
How many properties of rational numbers are there in RS Aggarwal Solutions Class 7 Maths Chapter 4 Rational Numbers?
There are 3 properties of rational numbers.
What is the multiplicative inverse of rational numbers?
The multiplicative inverse of a rational number is the reciprocal of a given rational number. So, the multiplication of the rational number and the multiplicative inverse should always be equal to 1.
What is the additive inverse of rational numbers?
The additive inverse of a rational number is the number when added to the rational number gives a zero. So, the additive inverse of a rational number is negative of that rational number.