Math, asked by vaishnavi674, 2 months ago

2.3030030003 is an irrational number between 1 and 2?
need explanation pls it's urgent​

Answers

Answered by 98833hjj
1

Step-by-step explanation:

Hello! Feel happy to answer after a long time(:

I hope u will enjoy it!

See this is a pattern..

3.30300300030000… if u don't put this “…” then it will be a rational number because it has terminating decimal places. It will mean the same as 3.3030030003 which can be written as 33030030003/10000000000 which is rational. But I think you meant that this pattern, 3.30300300030000300000……. This is going on forever. If that is the case, then for sure this is irrational! Reason? U see it is 30, then 300, then 3000, like this after decimal places. So it is not repeating right? If it were 3030303030…. Then sure it wud have been repeating… but because we have 3.30300300030000… it is non repeating. And since it is going on and on and on, it is non terminating. Hence it is irrational!

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Answered by mittalsapna19
30

Step-by-step explanation:

Your answer is ---

2.3030030003 is an irrational number but it does not lies between 1 and 2 .

It lies between 2 and 3.

Hope it helps

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