Question

Define rational number with an example

Answer 1

Question:-

Define rational number with an example

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${\red{\underline{\underline{\bold{Rational\:Number:-}}}}}$ :- A number which is expressed in the form of p/q (where q is not equal to zero)i.e q should be a non-zero number and it can be 1 is known as rational number

Answer 2

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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.

☞ Example

• 1
• ½
• 0.555555
• ⅜
• - 16

☞ 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.

✒ 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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