Question

State whether 6/200 has terminating or non terminating decimal expanaipn

Answer 1

6/200 = 0.03
terminating

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Answer 2

first write the factors of denominator 200 in the form of 2^m × 5^n

6/200
6/ 2^3×5^2
6×5/ 2^3×5^3
30 / (2×5)^3
30/(10)^3
30/ 1000
=.03
it is terminating decimal expansion because we can write it in the form of p/q