Question

Look at several examples of rational numbers in the form p/q (p is not equal to o) where p and q are integers with no common factors other than 1 and having terminating decimal re. can you guess what property q must satisfy.

Answer 1

Answer:

let us take 1/2, 1/4, 7/8, 37/25, 8/125, 17/20

Step-by-step explanation:

Which has non terminating decimal expansion

1/2

1/4= 1/2×2×1

7/8=7/2×2×2×1

37/25=37/5×5×1

8/125=8/5×5×5×1

17/20=17/2×2×5×1

Here the denominator is either 2 or power of 2or 5 or power of 5 or both

Answer 2

Answer:

Step-by-step explanation:

let us take 1/2, 1/4, 7/8, 37/25,

Which has non terminating decimal expansion

1/2

1/4= 1/2×2×1