Question

the decimal expansion
of
856789
2⁴x5³
will tereminate after how many places
of
decimals​

Answer 1

Answer:

Step-by-step explanation:

since the denominator only consist of 2 and 5's we can easily find it

When the denominator is of the form:

$2^{m} X 5^{n}$

Then we take the maximum value of m or n

ie max(m, n) if m is maximum then we take m and if n is maximum we take n.

In this question we have

856789

______

2⁴ x 5³

we take max ( 4 , 3 ) since 4 is the greatest we take 4

∴ The decimal expansion will terminate after 4 places