To find the density of the object, we need to use the formula for density:
[tex]\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\][/tex]
Given:
- Mass = 16.400 grams (g)
- Volume = 9.1 milliliters (mL)
First, let's calculate the density without considering significant figures:
[tex]\[
\text{Density} = \frac{16.400 \, \text{g}}{9.1 \, \text{mL}} \approx 1.802197802197802 \, \frac{\text{g}}{\text{mL}}
\][/tex]
Now, we need to report the density to two significant figures. When rounding to two significant figures, we consider only the first two digits and adjust based on the third digit:
The density value before rounding is [tex]\(\approx 1.802197802197802 \, \frac{\text{g}}{\text{mL}}\)[/tex]
Since the third digit '2' is less than 5, the second digit '8' remains unchanged. Therefore, rounding [tex]\(1.802197802197802\)[/tex] to two significant figures gives us [tex]\(1.8\)[/tex].
Thus, the density reported to two significant figures is:
[tex]\[
\boxed{1.8 \, \frac{\text{g}}{\text{mL}}}
\][/tex]
