prove that 2^m and 5^n are terminating decimal
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- In a fraction, if the denominator is of the form 2n∗5 m
- then the fraction is always terminating.
- In this case, 34.12345=3412345/100000
- Denominator is 100000=10/ 5
- =2 /5 ∗5/ 5
- Denominator is of the form 2 n ∗5 m
- So, it is terminating and reason is the correct explanation to assertion
Answered by
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Answer:
terminating
Step-by-step explanation:
when 2^n×5^m then the expression is always terminating
For example:
34.12345=3412345/100000
Denominator is 100000=105=25∗55
Denominator is of the form 2n∗5m
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