Question

Does 5047/3500 have a terminating or non terminating decimal. If yes after how many
places will it terminate?​

Answer 1

Answer:

Yes, It has a terminating decimal because A rational number will have terminating decimal expansion, if the factors of the denominator is in the form of $2^{n}*5^{m}$. The decimal expansion of 5047/3500 will terminate after 3 places.

Step-by-step explanation:

5047/3500, this can be divided by 7 as there is 7 as a factor in both numbers.

721/500, now the denominator contains the factors, 4 and 125, which can be written in the form $2^{2}*5^{3}$.

Now we should make the powers of $2^{2}*5^{3}$equal.

To make that we need to multiply 2 to $2^{2}*5^{3}$ and to the numerator also.

Then it will become $2^{3}*5^{3}$ and the numerator will become 721*2= 1442

Now, 1442 /$(2*5)^{3}$  =1442/ $10^{3}$, now the decimal expansion will terminate after 3 places, because the 10 is raised to the power of 3.

Answer 2

Answer:

yes it is terminating because has the denominators factors are in the form of 2m × 5n

it terminates after 3 decimal places