Answer:
![998.9\operatorname{kg}/m^3]()
Explanations:
Given the measured value of 0.9989g/ml. We are to convert the value to kg/m^3
Using the conversion factor as shown:
![\begin{gathered} 1000\text{grams}=1\operatorname{kg} \\ 1ml=10^(-6)m^3 \end{gathered}]()
Applying this conversion to the given value:
![\begin{gathered} =\frac{0.9989\cancel{g}}{\cancel{ml}}*\frac{1\operatorname{kg}}{1000\cancel{g}}*\frac{1\cancel{ml}}{10^(-6)m^3} \\ =0.9989*\frac{1\operatorname{kg}}{10^3}*(1)/(10^(-6)m^3) \\ =0.9989*\frac{1\operatorname{kg}}{10^(3-6)m^3} \\ \end{gathered}]()
Simplifying further will give:
![\begin{gathered} =0.9989*\frac{1\operatorname{kg}}{10^(-3)m^3} \\ =0.9989*\frac{1000\operatorname{kg}}{m^3} \\ =998.9\operatorname{kg}m^(-3) \end{gathered}]()
Hence the required measurement in kg/m^3 is 998.9kg/m^3