Math, asked by sheshadri32, 1 year ago

periodicity of 3.1232323​

Answers

Answered by amitnrw
4

Given : 3.1232323​..

To Find : periodicity

Solution:

3.1232323​..

= 3.1\overline{23}

23 is being repeated    

Hence 23 is the period

and it has 2 digits

hence 2 is the periodicity

N = 3.1\overline{23}

10N = 31.\overline{23}

1000N = 3123.\overline{23}

=> 990N  = 3092

=> N = 3092/990

=> N = 1546/495

3.1232323​  = 1546/495

2 is the periodicity

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