Math, asked by VIJAYSIVA4782, 9 months ago

Defination of rational number and represent on number line

Answers

Answered by army73514
10

Answer:

Rational numbers are those numbers which can be written in the form of p/q, whereas q is not equals to zero.

You can represent the rational number as like other numbers.

Hope it will help you

Answered by Agamsain
2

HEY MATE...!!!

What is a Rational number ?

  • "A rational number, in Mathematics, can be defined as any number which can be represented in the form of p/q where q ≠ 0. "

  • Also, we can say that any fraction fits under the category of rational numbers, where denominator and numerator are integers and the denominator is not equal to zero.  

Representation of Rational Number

For representation of rational number please the above attachment.

How to identify rational numbers ?

  • To identify if a number is rational or not, check the below conditions.
  • It is represented in the form of p/q, where q≠0.
  • The ratio p/q can be further simplified and represented in decimal form.

Types of Rational Numbers

A number is rational if we can write it as a fraction, where both denominator and numerator are integers and denominator is a non-zero number.

  • Real numbers (R) include all the rational numbers (Q).
  • Real numbers include the integers (Z).
  • Integers involve natural numbers(N).
  • Every whole number is a rational number because every whole number can be expressed as a fraction.

☞ Properties of Rational numbers

The properties of rational numbers are :-

  1. Closure Property
  2. Commutative Property
  3. Associative Property
  4. Distributive Property
  5. Identity Property
  6. Inverse Property

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