What is the upper and lower bound of #c/a - b/d#?
If:
#a=5.6# (#1# d.p)
#b=24.1# (#1# d.p)
#c=145# (#3# s.f)
#d=0.34# (#2# d.p)
I got two different answers using two different ways when doing this question.. #-46.5# and #-45.2# for the lower bound, and #-43.5# and #-44.8# for the upper
When I did it the first time I made the the "equation" into one fraction, #(cd-ba) /(ad) # , through this I took the lower bound of #cd# #[48.4075]# , upper bound of #ba [136.4475]# and upper bound of #ad [1.94925]# to find the lower bound of the answer, as well as the reverse to find the upper bound.
For checking I did it the "normal" way and just took the lower bound of #c/a# #-# the upper bound of #b/d# , to find the lower bound of the answer, and the reverse for the upper bound...
I am sooo confused... Any help would be greatly appreciated
If:
I got two different answers using two different ways when doing this question..
When I did it the first time I made the the "equation" into one fraction,
For checking I did it the "normal" way and just took the lower bound of
I am sooo confused... Any help would be greatly appreciated
1 Answer
-43.5 and -46.5
Explanation:
I get all four answers the same as you.
If you deal with them as two separate fractions you can get the bigger differences. Sorry it's not a very mathematical explanation!