Question

HOW is it helpful to write numbers in different ways?

Answer 1

It is helpful to write them in different ways
some ways to write them are
1.fractions
2.decimals
3.squareroots (if applicable)

so it would be more helpful in an equation to leave 6/7 in fractional form if  you are going to manipulate it more, because 0.857142857142... is much harder to keep track of than 6/7


and sometimes, they want a percent which is easier to convert to from decimal form than from fractinoal form so ex  0.857142857142...=85.7% vs 6/7 to percent

sometimes there will be square roots and they are easier if left like that ex
√2=1.4142135623...
it would be easier to leav it in square root

it depends on the equation you are trying to solve, because different forms have different pros and cons, some are easier to work with in a certain form but not in another, sometimes, you will need to change between multipule forms during the same problem

Answer 2

Its helpful to write numbers in different ways because in some equations, there would be different types of a way to write a number, so you need to know how to write each one as a whole number etc. 

Example:-

25/5 is the same way was saying 5.