Question

Check whether 7 by 50 and 3 by 28 will have terminating decimal expansion or not

Answer 1

Answer:

no they are non terminating

Answer 2

Answer:

Step-by-step explanation:

A rational number have terminating decimal expansion only if the denominator of that rational number is in the form of

{2}^{m}{5}^{n}

otherwise that number is not terminating repeating decimal .

for the first number 7/50; do the prime factors of denominator and then check whether it is in the form shown above.

50 = 2\times 5\times 5

=2\ 5^2

yes, the denominator is in that form so the number 7/50 has terminating decimal expansion .

for the first number 3/28; do the prime factors of denominator and then check whether it is in the form shown above.

28 = 2\times2\times7

=2^2\times7

No,the denominator is not in that form so the number 3/28 does not have terminating decimal expansion .

hope it helps..