Question

how many significant figures should the answer be reported with?
\\(\frac{16.400\\ g}{9.1\\ ml}\\)
16.400 g 5 sig figs
9.1 ml 2 sig figs
? significant figures

Explanation:

Step1: Recall division sig fig rule

For division, the result has the same number of significant figures as the measurement with the fewest significant figures.

Step2: Compare sig fig counts

The numerator ($16.400\ \text{g}$) has 5 sig figs; the denominator ($9.1\ \text{mL}$) has 2 sig figs. 2 is the smaller count.

Answer:

2 significant figures