Hi all,
Just a quick question which I'm stuck on, having never done one before....
Express in the form a/b: 0.45 (so that both the 4 and 5 are recurring)--0.4444444.......55555555..........
Thanks in advance!
Steven
Hi all,
Just a quick question which I'm stuck on, having never done one before....
Express in the form a/b: 0.45 (so that both the 4 and 5 are recurring)--0.4444444.......55555555..........
Thanks in advance!
Steven
Hello Stevo
I would first write
$\displaystyle 0.454545454545 \cdots$
as
$\displaystyle 45 \times 10^{-2} \ + \ 45 \times 10^{-4} \ + \ 45 \times 10^{-6} \ + \ 45 \times 10^{-8} \cdots$
$\displaystyle \Rightarrow 45 ( 10^{-2} \ + \ 10^{-4} \ + \ 10^{-6} \ + \ 10^{-8} \cdots )$
Just find the sum of the infinite geometric series and simplify.
Bobak