Question

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

Answer 1

`67.6xx1.2=81.12~=81`

Explanation:

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

`67.6xx1.2=81.12`

`underbrace(67.6)_(color(red)("3 s.f."))`

`underbrace(1.2)_(color(green)("2 s.f."))`

`underbrace(81.12)_(color(blue)("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:

`67.6xx1.2=81.12~=underbrace(81)_(color(green)("2 s.f."))`