Without actually performing the long division, state whether the following rational numbers have a terminating decimal expansion or a non-terminating repeating decimal expansion :
(1) 1÷7 (2) 3÷5 (3) 27÷40 (4) 42÷100
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Answer:1/7 non terminating all other terminating
Step-by-step explanation: if denominator can be written as 2^n+5^m
then expansion is terminating
Answered by
2
Answer:
Step-by-step explanation:
If the denominator of a number has only 2 and 5 as factors, then it is terminating decimal expansion and if it (the denominator) doesn't satisfy the given conditions, then it is non-terminating decimal expansion I.e. 2 & 5 as factors.
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