Question

Decimal expansion of real number is given as 3.333....State whether they are rational or irrational numbers.

Answer 1

Answer:

3.333..... is an irrational number

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Answer 2

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Here's ur answer

Numbers that have a recurring and non terminating decimal expansion will be rational

We can prove this,

x = 3.333...

10x = 33.333....

10x - x = 33.3333....  -  3.33333

9x = 30

x = 30/9

x = 10/3

Since we got the number in the form p/q it is a rational number

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