Question

State whether the following rational numbers will have a terminating decimal
expansion or non-terminating repeating decimal expansion.(justify your
answer).
(A) 27/75,
(B) 98/70

Answer 1

Answer:

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Step-by-step explanation:

To state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion we express in the factors of 2 and 5.

If the denominator has only factors of 2 and 5 or in the form of 2m ×5n then it has terminating decimal expansion.

If the denominator has factors other than 2 and 5 then it has a non-terminating decimal expansion.