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  • Last Modified 14-09-2022

NCERT Solutions for Class 9 Maths Chapter 1 Number Systems


NCERT Solutions for Class 9 Maths Chapter 1 Number Systems: Expert professors at Embibe have developed Class 9 Maths Chapter 1 NCERT Solutions. These NCERT Class 9 Maths chapter 1 solutions help the students in tackling challenges skillfully and effectively in their preparation for Board exams. These solutions also make problems simple enough for the students to understand.

Number Systems talks about the Origin and History of Numbers, Integers, Rational Numbers, Non-Terminating, Non-Recurring Decimals, Properties of Irrational Numbers and many more. Embibe delivers 470+ practice questions for all the sub-topics included in Chapter 1. Students must practice all the in-text questions of Embibe without fail.

NCERT Solutions for Class 9 Maths Chapter 1: Important Topics

This exercise is easy to understand, and students can build fundamentals that will benefit them in the long run for entrance exams. Students will get exposed to a wide variety of problems that will help them in developing problem-solving skills. Students are advised to go through the chapter’s video lessons before moving on to problem-solving.

At Embibe, students can find the solutions to each and every question of this exercise . All the solutions are offered for free, and students can also access NCERT 3D Videos, NCERT Exemplars, Embibe Explainers, etc., for free.

We have provided the list of topics included in this exercise below:

Topic NameTopic Name
Basic Number SystemsRepresenting Real Numbers on the Number Line
Irrational NumbersOperations on Real Numbers
Real Numbers and Their Decimal ExpansionsExponents and Surds

NCERT Solutions for Class 9 Maths Chapter 1: Points To Remember

Some of the important points related to Number Systems have been mentioned below for the quick reference of students.

  • Natural Numbers: These are the counting numbers (1, 2, 3,1, 2, 3, etc.).
  • Whole Numbers: The set of numbers that includes all natural numbers and the number zero are called whole numbers. Whole numbers are also called Non-Negative Integers.
  • Prime Numbers: A natural number larger than 11 is a prime number if it does not have other divisors except for itself and 11. (The lowest prime number is 22. 22 is also the only even prime number. The lowest odd prime number is 33.)
  • Composite Numbers: It is a natural number that has at least one divisor different from unity and itself.
  • Even Numbers: An even number is an integer that can be divided by two and remain an integer or has no remainder.
  • Odd Numbers: An integer that is not an even number is an odd number.
  • Divisibility Tests:
    (i) Divisibility by 22 or 55: A number is divisible by 22 or 55 if the last digit is divisible by 22 or 55.
    (ii) Divisibility by 33 (or 99): All such numbers, the sum of whose digits are divisible by 33 (or 99), are divisible by 33 (or 99).
    (iii) Divisibility by 44: A number is divisible by 44 if the last 22 digits are divisible by 44.
    (iv) Divisibility by 66: A number is divisible by 66 if it is simultaneously divisible by 22 and 33.
    (v) Divisibility by 88: A number is divisible by 88 if the last 33 digits of the number are divisible by 88.

NCERT Solutions for Class 9 Maths: All Chapters

The detailed NCERT Class 9 Maths solutions are provided below for free:

Chapter 1: Number Systems
Chapter 3: Coordinate Geometry
Chapter 4: Linear Equations in Two Variables
Chapter 5: Introduction to Euclid’s Geometry
Chapter 6: Lines and Angles
Chapter 7: Triangles
Chapter 8: Quadrilaterals
Chapter 9: Area of Parallelogram and Triangles
Chapter 10: Circles
Chapter 11: Constructions
Chapter 12: Heron’s Formula
Chapter 13: Surface Areas and Volumes
Chapter 14: Statistics
Chapter 15: Probability


Q.1: Why should I choose Class 9 Maths chapter 1 NCERT solutions from Embibe?

Ans: The concepts are explained in simple language in the NCERT solutions for Class 9 chapter 1 Maths by Embibe. The NCERT solutions are prepared by a team of experts at Embibe to help students enhance their exam preparation.

Q.2: What will I learn in Class 9 NCERT Maths chapter 1?

Ans: In Class 9 Maths chapter 1, “Number System”, students will learn that a number system is called a rational number if it can be written as p/q, the decimal expansion of a rational and irrational number, and what is a real number and so on.

Q.3: How many exercises are covered in chapter 1 CBSE Class 9 Maths ?

Ans: The exercises covered in NCERT chapter 1 of Class 9 Maths are as follows:
 1) Exercise 1.1: 4 Questions (4 short answers)
 2) Exercise 1.2: 4 Questions (4 short answers)
 3) Exercise 1.3: 9 Questions (8 short answers, 1 long answer)
 4) Exercise 1.4: 2 Questions (2 long answers)
 5) Exercise 1.5: 5 Questions (4 short answers, 1 long answer)
 6) Exercise 1.6: 3 Questions (3 short answers).

Q.4: Are the Class 9 NCERT Maths solutions chapter 1 easy to understand?

Ans: The NCERT solutions by Embibe will help students understand the chapter better. The NCERT solutions for chapter 1 of Class 9 Maths have been explained in a step-by-step and detailed manner so that any student can understand them.

Q.5: Why should I download the Number System Class 9 solutions PDF?

Ans: Students can download the chapter for free from Embibe, and in return, they get tricks, tips, and notes that they can revise at the last minute before the exam. This will help the students to score well.

Reduce Silly Mistakes? Practice Unlimited Class 9 Maths NCERT Questions With Hints & Solutions