Question

How do i write 2.086 in expanded notation using fractions

Answer 1

2 43/500

Explanation:

Note that 2.086 and 2 + 0.086 are identical.

2 + 0.086 is equivalent to 2 86/1000, or 2 43/500, which cannot be reduced further.

Answer 2

`2.086=2+(1)/(100)*8+(1)/(1000)*6`

Explanation:

You could write the number depends on the decimal position dividing by the 10 multiple, as follows:

`0.1=(1)/(10)*1\\ 0.01=(1)/(100)*1\\ 0.001=(1)/(1000)*1`

Now, apply in the excercise:

`2.086=2+(1)/(10) *0+(1)/(100)*8+(1)/(1000)*6\\2.086=2+(1)/(100)*8+(1)/(1000)*6`

Rgds!