Without actually performing the long division, State whether the following
rational numbers will have a terminating decimal expansion or a non-
terminating decimal expansion.
(i)
241/
4000
Answers
Answered by
1
Prime factorisation of 4000 = 2^5 *5^3
As the prime factorisation of 4000 is in the form of 2^n*5^m
THEREFORE
fraction is terminating
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Answered by
2
Answer:
Step-by-step explanation:
Q= 241/4000
Firstly, take out the factors of denominator by Prime Factorization method and then see that whether there only 2 and 5 as factor or some other number.
If the factors are only 2 or 5 then the whole fraction must be having a terminating decimal expansion otherwise not.
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