Question

The decimal expansion of 2517/6250 will terminate after _____ digits

Answer 1

Answer:

The decimal expansion of 2517/6250 will terminate after 5 digits.

i hope it will helps you friend

Answer 2

Answer: The decimal expansion will terminate after 5 digits.

Step-by-step explanation:

Since we have given that

$\frac{2517}{6250}$

We will first do the prime factorisation of the denominator i..e 6250.

So, factorisation of 6250 is given by

$2\times 5\times 5\times 5\times 5\times 5\\\\=2\times 5^{5}$

Since we can see that 5 to the power 5, which is the highest power among the factorisation.

That means the decimal expansion will terminate after 5 digits.

i.e. $\frac{2517}{6250}=0.40272$