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what are rational number. Define ​

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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.

How to identify rational numbers ?

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

The set of rational numerals :-

  1. Include positive, negative numbers, and zero.
  2. Can be expressed as a fraction.

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.

"The above diagram helps us to understand more about the number sets."

  • 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.

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