Identify rational and irrational numbers

Key Notes :

Rational numbers:

Rational numbers can be written as a/b (where a and b are integers and b is not zero).

When written as decimals, rational numbers terminate or repeat.

Ex: 5/6, 2, -5, 7/9, 0, 5.2222…

Irrational numbers :

Irrational numbers cannot be written as a/b (where a and b are integers and b is not zero).

When written as decimals, irrational numbers do not terminate or repeat.

Ex: π, e, √2, √3, √5, √11, √21, 5.1234216……..

Learn with an example

➡️ Is -1 1/3 an irrational number?

  • yes
  • no

-1 1/3 can be written as -4/3 ,which is a fraction. So, -1 1/3

is not an irrational number.

➡️ is 5/6 a rational number?

  • yes
  • no

5/6 is a fraction. So, 5/6 is a rational number.

➡️ is -1 2/3 a rational number?

  • yes
  • no

-1 2/3 can be written as -5/3 , which is a fraction. So, -1 2/3 is a rational number.

Let’s practice!🖊️