# NCERT Solutions for Class 9 Maths Chapter 1 Number Systems

NCERT Solutions for Class 9 Maths Chapter 1 Number Systems

## NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.1

Ex 1.1 Class 9 Maths Question 1.
Is zero a rational number? Can you write it in the form pq,where p and q are integers and q ≠0?
Solution:
Yes, zero is a rational number it can be written in the form pq.
0 = 0/1 = 0/2 = 0/3 etc. denominator q can also be taken as negative integer.

Ex 1.1 Class 9 Maths Question 2.
Find six rational numbers between 3 and 4.
Solution:
Let qi be the rational number between 3
and 4, where j = 1 to 6.
∴ Six rational numbers are as follows:

Thus, the six rational numbers between 3 and 4 are

Ex 1.1 Class 9 Maths Question 3.
Find five rational numbers between 3/5 and 4/5.
Solution:
Since, we need to find five rational numbers, therefore, multiply numerator and denominator by 6.

Ex 1.1 Class 9 Maths Question 4.
State whether the following statements are true or false. Give reasons for your answers.
(i) Every natural number is a whole number.
(ii) Every integer is a whole number.
(iii) Every rational number is a whole number.
Solution:
(i) True
∵ The collection of all natural numbers and 0 is called whole numbers.
(ii) False
∵ Negative integers are not whole numbers.
(iii) False
∵ Rational numbers are of the form p/q, q ≠ 0 and q does not divide p completely that are not whole numbers.

## NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.2

The topics and sub-topics in Chapter 1 Number Systems:

• Number systems
• Introduction
• Irrational Numbers
• Real Numbers And Their Decimal Expansions
• Representing Real Numbers On The Number Line
• Operations On Real Numbers
• Laws Of Exponents For Real Numbers
• Summary

## NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.3

The topics and sub-topics in Chapter 1 Number Systems:

• Number systems
• Introduction
• Irrational Numbers
• Real Numbers And Their Decimal Expansions
• Representing Real Numbers On The Number Line
• Operations On Real Numbers
• Laws Of Exponents For Real Numbers
• Summary

## NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.4

The topics and sub-topics in Chapter 1 Number Systems:

• Number systems
• Introduction
• Irrational Numbers
• Real Numbers And Their Decimal Expansions
• Representing Real Numbers On The Number Line
• Operations On Real Numbers
• Laws Of Exponents For Real Numbers
• Summary

## NCERT Solutions for Class 9 Maths Number System Ex 1.5

• Number systems
• Introduction
• Irrational Numbers
• Real Numbers And Their Decimal Expansions
• Representing Real Numbers On The Number Line
• Operations On Real Numbers
• Laws Of Exponents For Real Numbers
• Summary

## NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.6

• Number systems
• Introduction
• Irrational Numbers
• Real Numbers And Their Decimal Expansions
• Representing Real Numbers On The Number Line
• Operations On Real Numbers
• Laws Of Exponents For Real Numbers
• Summary

Ex 1.6 Class 9 Maths Question 1.
Find:

Solution:

Ex 1.6 Class 9 Maths Question 2.
Find:

Solution:

Ex 1.6 Class 9 Maths Question 3.
Simplify:

Solution:

## Number Systems Class 9 Extra Questions Maths Chapter 1

Extra Questions for Class 9 Maths Chapter 1 Number Systems

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