# Can someone lend me a hand in explaining sig figs involving different units?

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How would I solve and express the answer in sig figs?

How would I solve and express the answer in sig figs?

##### 1 Answer

You multiplied two answers, and one of them has three sig figs. The other has two. So the **fewest** number of sig figs indicates the number you are **less** sure about with regards to its precision.

#5.50 xx 10^8 cancel("mg")xx(4.0xx10^5 "mol")/(cancel"1 mg")#

#= 2.2xx10^13 "mols"#

You only get the same number of sig figs from a *multiplication or division process* as the number you use with the **fewest** number of sig figs.

*You can only be as sure as that which you are least sure about*, which is the

In your conversion factor, when you have "per . . . ", that is an exact relationship **except for** the larger number.

So if you have ** for every** quart, there is some quantity of

**Therefore, you have two sig figs, not one.**