RS Aggarwal Chapter 1 Class 9 Maths Exercises 1.3 (ex 1c) Solutions

RS Aggarwal Chapter 1 Class 9 Maths Solutions Exercise 1.3: Number System is the essential study material for students preparing for the CBSE exam. “Number system” is the most important subject in mathematics because it also forms the basis of other chapters in mathematics. RS Aggarwal Chapter 1 Class 9 Maths Solutions has 7 exercises and has problems that give you complete knowledge about types of numbers.

RS Aggarwal Class 9 Ex 1 C has 14 questions. These questions use the concepts of rational and irrational numbers.

Download RS Aggarwal Chapter 1 Class 9 Maths  Solutions Exercise 1.3

Exercise 1C

Important Definition for RS Aggarwal Class 9 Exercise 1.3

• Introduction to natural numbers-

 The Set of positive counting numbers excluding zero is natural numbers.

• Whole numbers –

The Set of positive counting numbers including zero are whole numbers

• Integers –  Integers have two types-

Positive integers – A set of all natural numbers including zero is positive integers.

Negative integers – A set of all non-positive counting numbers including zero is negative integers.

• Rational Numbers-

Rational numbers are those types of numbers that are represented in the form of  (P/Q) where Q does not equal zero 

• How to find a rational number between two numbers

If  ‘a’ and ‘b’ are the two numbers-

Rational no.= (a+b)/2

• Irrational numbers –

A number that is not represented in the form of (P/Q) is an irrational number.

• Real numbers –

  Real numbers include all numbers which are rational or irrational.

• Prime numbers- 

A number that is divided by the number 1 and by itself is called a prime number.

• Composite numbers- A composite number, is a positive integer or whole number that can be formed by the multiplication of two whole numbers.
• Complex numbers –

Complex numbers are those types of numbers that contain real as well as imaginary numbers.

• Laws of Exponent –

 If a and b are the two numbers and m,n are the exponents –

1. am× an = am+n
2. (am)n= amn
3. ambm = (ab)m
4. a0= 1
5. a1= a
6. 1/an= a-n

• Rationalizing the denominator–

If the denominator contains a surd, then multiplying both by numerator and denominator by the surd is termed as rationalizing a denominator.

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