Question

find without actual division weather 6÷15 represents terminating decimal expansion or non terminating repeating decimal expansion

Answer 1

id the denominator can be expressed in the form of 2^a*5*b then it will have a terminating decimal expansion .

since 15=3*5*2^0

and has both 2 and 5 in the denominator therefore it will have terminating decimal expansion.

NOTE:here is left in the denominator but since it divides three therefore the answer won't change.

Answer 2

Answer:

6÷15=0.4

terminating decimal expansion

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