if x is a positive integer in x÷2^2×5^4×3 will have-------- decimal.
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Answered by
1
Answer:
a terminating decimal
Step-by-step explanation:
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Answered by
2
Step-by-step explanation:
Let x=p/q be a rational number such that the prime factorization of q is of the form 2
m
5
n
, where n, m are positive integers.
Then x has a decimal expansion which terminates.
Example:
500
49
×
2
2
×5
3
49
Since the denominator is of the form 2
m
×5
n
, the rational number has a terminating decimal expansion.
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