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Byju's Answer
Standard X
Mathematics
Check If a Given Rational No. Is Terminating or Not
The decimal e...
Question
The decimal expansion of rational number
67
2
3
×
5
2
will terminate after __________ decimal places.
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Solution
67
2
3
×
5
2
=
67
×
5
(
2
×
5
)
3
=
335
1000
=
0.335
Therefore, decimal expansion of this rational number terminates after three decimal places
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Similar questions
Q.
Without actually performing the long division, state whether the following rational numbers will have terminating decimal expansion or a non-terminating repeating decimal expansion. Also, find the numbers of places of decimals after which the decimal expansion terminates.
23
2
3
5
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Q.
The decimal expansion of the rational number
23
2
3
5
2
, will terminate after how many places of decimal?
Q.
The decimal expansion of the rational number
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will terminate after :
(a) one decimal places (b) two decimal places
(c) three decimal place (d) four decimal places
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