Question

3648/6250 terminates after ______ decimal places​

Answer 1

Answer:

0.58368

Step-by-step explanation:

when we divides 3648/6350

then, we get 0.58368

so after 5 digits decimal places

Answer 2

Step-by-step explanation:

the the decimal expansion will terminate after 5 digit

since we have given,

3648/6250

we will first do the prime factorization of the denominator is 6250

so factorization of 6250 is given by

2×5×5×5×5×5

2×5^5

since we can see that 5 is a power of 5 which is highest power among the factorization

That means the decimal expansion will terminate after 5 digit

3648/6250

0.58368

I hope it will help you