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Numbers are the arithmetic values used in different mathematical operations. They are generally used to label fixed quantities, make measurements, sales, trading, etc. Numbers have been a huge part of the economic and financial world. Integers, whole numbers, natural numbers, rational numbers, etc are some of the examples of sets of numbers.

Apart from the four different types of numbers, those are, decimal numbers, hexadecimal numbers, binary numbers and octal numbers. Numbers are also classified into other types based on their characteristics. They are categorized into sets by the number system. The types are described below:

Rational numbers are the set of numbers that can be expressed as fractions of two integers and can be written as a positive number, negative number, prime, and even a zero.

Rational numbers can be expressed as fractions, decimals, and even zero. All the numbers with a non-zero denominator which can be written in p/q form are rational numbers. For example, 4/5 is a rational number that expresses that integer 4 is divided by integer 5.

A rational number is a fraction or a  ratio of two integers which can be written in the form of p/q where q is not equal to zero. Hence, any fraction with a non-zero denominator is a rational number. For example, 4/5 is a rational number where 4 is an integer being divided by a non-zero integer that is 5. A rational number can be also written in the decimal form if the decimal value is definite or has repeating digits after the decimal point. For example, 0.8 is a rational number. As the value 0.8 can be further expressed in the form of ratio or fraction as p/q

0.8 = 4/5

Which is a ratio of two definite integers 4 and 5.

Irrational numbers are the set of numbers that cannot be expressed in fractions or ratios of integers. it can be written in decimals and have endless non-repeating digits after the decimal point.

For example 0.1211212111122… is an irrational number that is non-terminating.

Answer:

Question 1: Is 22.7 a rational number?

Answer:

Question 2: 0 is a rational number, how?

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Question 3: Is 0.5 a rational number?

Answer:

Question 4: Is 33.5 a rational number?

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Question 5: Mention the properties of a rational number.

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