Report the result of the following calcualtions to the
correct number of significant figures.
a) 8.25 x 0.14
When this mutiplication is carried out the result is 1.155.
This result has 4 significant figures, but according to our rules
for significant figures in multiplication and division the result
should only have 2 sig figs. The reason the result should be
reported to 2 sig figs is because the number 0.14 has 2 sig figs
(the number 8.25 has 3 sig figs). So we must round this number to
the 2 sig figs.
According to the rounding rules we look at the left most
digit to be dropped which in this case is a '5'. The rule says,
if this digit is '5' or greater, or is '5' followed by nonzero
digits, add '1' to the last digit to be retained and drop all the
digits further to the right.
So result must be reported as 1.2.