define rational numbers and give two examples
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Rational Number: A Rational number is a number such that it is written in the form p/q where p and q are integers and q ≠ 0
1/11 and 9/34 are two examples of rational numbers.
These both examples have both numerator and denominator as integers and don't have 0 in their denominators. Hence they are rational numbers.
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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 of Rational Numbers
- 1
- ½
- 0.55555
- ⅝
☞ 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 :-
- Closure Property
- Commutative Property
- Associative Property
- Distributive Property
- Identity Property
- Inverse Property
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