Question

Express denominator of 14857/1250 in the form 2n 5m form and
comment upon the decimal expansion without actually dividing.​

Answer 1

Answer:

Step-by-step explanation:

Given,

Let x = 14857 / 1260

x = 14857 / 2 × 625

x = 14857 / ( 2^1 × 5^4)

So the denominator in the form of 2^n 5^m.

Comment :

Let x = p/q be a rational number, so the prime factorization of q is in the form 2n 5m ,

where n,m are non-negative integers.

Then x has a decimal expansion which terminate.