Question

Q.1 :- π is an irrational number because its decimal expansion is __________________ *




Terminating

Non -Terminating

Non - Terminating Non - Recurring​

Answer 1

Answer:

π is an irrational number because its decimal expansion is Non - Terminating Non - Recurring.

Answer 2

[(c) Non terminating and Non Recurring]

Irrational numbers :

• Non terminating numbers i.e the quotient never ends
• Non recurring numbers i.e the digits in the quotient don't repeat.
• Eg : √2 , √3 , √5

Explanation of the answer :

We have been asked about π

The value of π = 3.1419265359......

Here neither the digits are ending nor repeating ; thus we conclude that the value of π being non terminating and non recurring making it an irrational number.