To convert the density of acetone from [tex]\(790 \, \text{kg/m}^3\)[/tex] to [tex]\( \text{g/cm}^3 \)[/tex], we follow these steps:
1. We start with the given density of acetone: [tex]\( 790 \, \text{kg/m}^3 \)[/tex].
2. Recognize that:
- 1 kilogram (kg) is equal to 1000 grams (g).
- 1 cubic meter (m[tex]\(^3\)[/tex]) is equal to [tex]\(10^6\)[/tex] cubic centimeters (cm[tex]\(^3\)[/tex]).
3. Convert the kilograms to grams by multiplying by 1000:
[tex]\[
790 \, \text{kg/m}^3 \times 1000 \, \text{g/kg} = 790,000 \, \text{g/m}^3
\][/tex]
4. Convert cubic meters to cubic centimeters by dividing by [tex]\(10^6\)[/tex]:
[tex]\[
790,000 \, \text{g/m}^3 \div 10^6 \, \text{cm}^3/\text{m}^3 = 0.79 \, \text{g/cm}^3
\][/tex]
Therefore, the correct answers to the drop-down menus are:
[tex]\[
\boxed{\text{...} \, 1,000 \, \text{and} \, 10^6 \, \text{. These operations reveal that the density of acetone in} \, \text{g/cm}^3 \, \text{is} \, 0.79.}
\][/tex]
