RS Aggarwal Chapter 1 Class 9 Maths Exercises 1.4 (ex 1d) Solutions

RS Aggarwal Chapter 1 Class 9 Maths Exercise 1.4 Solutions: 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 Maths Solutions Class 9 Chapter 1 has 7 exercises and has problems that give you complete knowledge about types of numbers, ie. Real, natural, rational / irrational, imaginary, integer, prime and numbers respectively, their representation on number line, rationalization and exponential rules, etc.

Exercise 1D consists of simplification-based questions, in which some questions require you to add two rational numbers, while in some you have to multiply / divide between two rational numbers. You have 8 questions.

Download RS Aggarwal Chapter 1 Class 9 Maths Exercise 1.4 Solutions

Exercise 1D

Important Definition for RS Aggarwal Chapter 11 Class 9 Maths Ex 1d Solutions

• Introduction to natural numbers-

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

• Whole numbers –

The Set of positive counting numbers including zero are whole numbers

• Integers –  Integers has two types-

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

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

• Rational Numbers-

Rational numbers are those types of numbers which are represented in the form of  (P/Q) where Q does not equal to 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) are irrational numbers.

• Real numbers –

  Real numbers include all numbers which are rational or irrational.

• Prime numbers- 

A number which is divided by number 1 and by itself are called prime numbers.

• 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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