Rational Numbers

Suppose someone asks you about your age, you may say you are 17 years old. The number of pages in a book, the fingers on your hand or the number of students in your classroom. What numbers are these?  These numbers are known as rational numbers. Let us study in detail about the rational number.

Question. Explain what is a rational number with example?

Answer. A rational number is a number whose expression can take place as a fraction p/q, such that p and q happen to be integers and q is not equal to zero. Furthermore, in a rational number p/q, p refers to the numerator and q is the denominator. Examples of rational numbers include 0, 1, ½, -7 etc.

Question. Can we say that 3.14 is a rational number?

Answer. 3.14 is certainly rational. This is because, rational number is a number that one can write as a fraction, a/b, where a and b happen to be integers. Since 3.14 satisfies all these conditions, it is a rational number.

Question. Can we say that 0.3333 is a rational number?

Answer. All terminating and recurring decimals happen to be rational numbers. So, 1/3=0.333333, here 3 is recurring. Therefore, 0.3333 or 1/3 happens to be a rational number. Furthermore, 0.3333 is also a non-terminating as the decimal is not ending.

Question. What do we understand by irrational numbers?

Answer. Irrational number refers to a number whose expression cannot take place as a ratio between two integers. Furthermore, irrational number is not an imaginary number.

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