# Using the rules for significant figures, what do you get when you multiply 67.6 by 1.2?

Aug 26, 2016

$67.6 \times 1.2 = 81.12 \cong 81$

#### Explanation:

Using the rule of significant figures, the result will be as follows:

$67.6 \times 1.2 = 81.12$

${\underbrace{67.6}}_{\textcolor{red}{\text{3 s.f.}}}$

${\underbrace{1.2}}_{\textcolor{g r e e n}{\text{2 s.f.}}}$

${\underbrace{81.12}}_{\textcolor{b l u e}{\text{4 s.f.}}}$

The answer should have as many significant figures as the lowest number used in the multiplication, which is $1.2$.

Thus, the answer should have only two significant figures:

$67.6 \times 1.2 = 81.12 \cong {\underbrace{81}}_{\textcolor{g r e e n}{\text{2 s.f.}}}$