NCERT Class 9 Maths Formula CBSE Board Sample Problems Part 1 (For CBSE, ICSE, IAS, NET, NRA 2022)

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CBSE Class 9 Math՚s Summary

This pdf list all the Class 9 CBSE math՚s formula in a concise manner to help the students in revision and examination as per NCERT syllabus

1. Number System

Number System
S. noType of NumbersDescription
1Natural Numbers

It is the counting numbers

2Whole numberW

It is the counting numbers + zero

3Integers
4Positive integers
5Negative integers
6Rational NumberA number is called rational if it can be expressed in the form p/q where p and q are integers (q > 0) .

Example: etc.

7Irrational NumberA number is called rational if it cannot be expressed in the form p/q where p and q are integers (q > 0) .

Example: etc.

8Real NumbersAll rational and all irrational number makes the collection of real number. It is denoted by the letter R
9What is zeroZero number definition

Zero is a number used in mathematics to describe no quantity or null quantity. It is also used as placeholder digit in many numbers

The modern O symbol was invented in India in the 6th century, used later by the Persians and Arabs and later in Europe.

Important facts about zero

(1) Zero is a number but it is neither positive nor negative number.

So, it is not included in the set of positive number nor negative numbers.

But it is included in the set of non-negative numbers

(2) Zero is an even number

(3) Zero is not a prime nor a composite number.

It cannot be prime because it has an infinite number of factors and cannot be composite because it cannot be expressed by multiplying

prime numbers (0 must always be one of the factors)

Law of Exponents

(1)

(2)

(3)

(4)

(5)

(6)

(7)

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