Problem
An athlete eats $0.4 \mathrm{~kg}$ of protein per week while training. How much protein will she eat during 6 weeks of training? Write your answer in grams. \begin{tabular}{|c|} \hline Conversion facts for mass \\ \hline $1 \operatorname{gram}(\mathrm{g})=1000$ milligrams $(\mathrm{mg})$ \\ \hline 1 kilogram $(\mathrm{kg})=1000$ grams $(\mathrm{g})$ \\ \hline \end{tabular} $\mathrm{g}$
Solution
Step 1 ：Convert the amount of protein eaten per week from kilograms to grams. We know from the conversion table that 1 kg = 1000 g. So, \(0.4 kg = 0.4 * 1000 g = 400 g\).
Step 2 ：Multiply the amount of protein eaten per week by the number of weeks to find the total amount of protein eaten. So, \(400 g/week * 6 weeks = 2400 g\).
Step 3 ：\(\boxed{2400}\) grams of protein will be eaten by the athlete during 6 weeks of training.
