Question
If pq is a rational number with terminating decimal expansion where p and q are coprimes, then q can be represented as:
(Here, n and m are non-negative integers.)
(Here, n and m are non-negative integers.)
Answer: Option D
:
D
If pq is a rational number with terminating decimal expansion where p and q are coprimes, then theprime factorisation of q will be in the form of 2n5m.
Example:
Consider rational number 18.
Here, denominator 8=23×50
Therefore, the rational number18 will have terminating decimal expansion.
18=0.125which is terminating.
Hence verified.
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:
D
If pq is a rational number with terminating decimal expansion where p and q are coprimes, then theprime factorisation of q will be in the form of 2n5m.
Example:
Consider rational number 18.
Here, denominator 8=23×50
Therefore, the rational number18 will have terminating decimal expansion.
18=0.125which is terminating.
Hence verified.
Was this answer helpful ?
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