In the world of mathematics, the rational number is considered to be the type of real numbers which are specified in the form of P/Q and Q will never be equal to 0 in this particular area. Any kind of fraction with a non-zero denominator is considered to be a type of rational number and some of the basic examples include 3/4, 1/5, 2/7 and several other kinds of options. The number zero is also considered to be a type of rational number and it can be perfectly represented into different kinds of forms like 0/3, 0/1, 0/2 but on the other hand 1/0, 2/0 and 3/0 are not defined because they will help in providing the people with infinite values. Apart from this, it is also very much important for the kids to be clear about the properties of the rational number so that they can have a clear-cut idea about the differences between rational and irrational numbers in the whole process.

Any rational number which can be represented in the form of P/Q is the very basic definition of rational numbers and when this particular fraction will be divided it will result in a decimal form which is either be terminating decimal or repeating decimal.

## How do identify the rational numbers?

To identify if a particularly given number is rational or not people need to check two conditions which are explained as follows:

- It should be represented in the form of P/Q where Q is not equal to 0
- The ratio of P/Q can further be simplified and represented in the form of decimals

The set of rational numerals will include positive, negative and zero numbers which can further be expressed as fractions very easily.

The standard form of rational numbers: The standard form of rational numbers can be perfectly defined if it has no common factors aside from one or between the dividend and divisor and therefore divisor is positive. Being clear about the positive and negative rational numbers is another very important thing to be taken into consideration by the kids and the following are the basic points of differences between both of them:

- In the cases of positive rational numbers, both numerator and denominator will be of the same signs and in the case of negative rational numbers, they will be of opposite signs.
- Positive rational numbers are greater than zero and negative rational numbers are less than zero.
- An example of the positive rational number will be 12/17 and an example of the negative rational number will be -1/5.

Different kinds of operations are very easily capable to be performed on rational numbers and some of them include multiplication, addition, subtraction, division and various other kinds of options so that kids can solve the questions very easily and are further very much successful in terms of scoring well in the mathematics exam. The multiplicative inverse of the rational numbers will be the reciprocal of the given fraction for example in the cases of 4/7 the multiplicative inverse will be 7/4.

## Following are the basic properties of rational numbers

- The result will always be a rational number on the performing of different kinds of operations like subtraction, addition, multiplication and division.
- The rational number will always remain the same if the people divide or multiply both the numerator and denominator with the same vector.
- If the people add 0 to a rational number then they will get the number same itself
- The rational numbers are closed under addition, subtraction and multiplication.

Hence, being clear about all the above-mentioned properties of the rational numbers is important and apart from this kids need to register themselves on Cuemath so that they also have a good idea about whole numbers which are another very important category of the numbers and play a very important role in the world of mathematics.

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