# Question #a6453

##### 1 Answer

#### Answer:

One significant figure.

#### Explanation:

You're dealing with multiplication and division, so you should round the answer to the number of significant figures in the **least precise** measurement.

In other words, your answer *cannot* be more precise than the least precise measurement you used when calculating the answer.

In this case, you have

#1.9 -># twosig figs#color(blue)(2)color(white)(1.) -># onesig fig#color(blue)(4)color(white)(1.) -># onesig fig

So, start by doing the division

#1.9 div color(blue)(2) = 0.95#

This answer should be rounded to one significant figure, but you should keep at least one extra significant figure as a *guard digit*.

Next, do

#0.95 xx color(blue)(4) = 3.8#

At this point, you should round the final answer to **significant figure**, the number of sig figs you have for your least precise measurements, i.e.

Since

#3.8 = 4 -># rounded to one significant figure

the answer will be

#1.9 div 2 xx 4 = 4#