defination of rational numbers
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Any number which can be written in the form of p/q where p & q are integers also q is not equal to zero is defined as a rational number, which is denoted by capital R.
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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 ?
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 :-
- Include positive, negative numbers, and zero.
- 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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