Question

Explain with an example how irrational numbers differ from rational numbers​

Answer 1

An irrational number is a number which cannot be expressed in a ratio of two integers. In rational numbers, both numerator and denominator are whole numbers, where the denominator is not equal to zero. While an irrational number cannot be written in a fraction.

Answer 2

Step-by-step explanation:

A non terminating decimal which has repeated pattern is called as rational number.

Because, the non terminating decimal which has repeated pattern can be converted into fraction.

A non terminating decimal which does not have repeated pattern is called as irrational number.

Because, the non terminating decimal which does not have repeated pattern can not be converted into fraction.

Examples of rational number :

5, 2.3, 0.02, 5/6

Because all these numbers can be written as fractions.

5 = 5/1

2.3 = 23/10

0.02 = 2/100 = 1/50

5/6 (This is already a fraction)

Apart from the above examples, sometimes we will have recurring decimals like 1.262626..........

1.262626........ is a non terminating recurring decimal.

Examples of irrational number :

All the above non terminating numbers can not be converted into fractions.