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Class 9th Maths Formula sheet Number Systems

 Number Systems Class 9th


  • Real numbers can be defined as the combination of both the rational and irrational numbers. Real numbers can be both positive or negative, and they are denoted by the symbol “R”.
  • Natural Numbers:- It includes all the counting numbers such as 1, 2, 3, 4,…
  • Whole Numbers:- numbers starting with zero are called whole numbers, like 0, 1, 2, 3, 4,…
  • Integers:-All numbers that do not having the decimal places in them are called integers. Examples of real numbers include -3, -2, -1, 0, 1, 2, etc.
Number system Formula sheet by pywix


  • Rational Numbers:-All the numbers that can be written in the form of P/Q, where Q≠0 are known as Rational numbers. When a rational number fraction is divided to form a decimal value, it becomes a terminating or repeating decimal.Rational number defination
  • Irrational Numbers:- The numbers which cannot be written in the form of P⁄Q (simple fraction) are known as irrational numbers. Irrational numbers are non-terminating and non-repeating in nature. E.g. √2,Ï€ etc. 
  • Note:- Ï€ is a irrational number where as 22/7 is a rational number 
  • The sum or difference of a rational and irrational number is irrational number. 
  • The product of rational and irrational number is irrational number. 
  • A math conjugate is formed by changing the sign between two terms in a binomial. For instance, the conjugate of x + y is x - y. We can also say that x + y is a conjugate of x - y.
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