Question

multiple representations express this mass using scientific notation in two ways, first with kilograms and then with grams. 6,200,000 kilograms 6,200,000 kilograms = 6.2×10⁶ kilograms (use scientific notation. use the multiplication symbol in the math palette as needed.) 6,200,000 kilograms = grams (use scientific notation. use the multiplication symbol in the math palette as needed.)

Explanation:

Step1: Recall the conversion factor

1 kilogram = 1000 grams = $10^{3}$ grams.

Step2: Convert 6,200,000 kilograms to grams

Multiply the number of kilograms by the conversion - factor. So, $6200000\ kg\times10^{3}\ g/kg = 6200000\times10^{3}\ g$.
Using the rule of exponents $a^{m}\times a^{n}=a^{m + n}$, we have $6200000\times10^{3}=6.2\times10^{6}\times10^{3}=6.2\times10^{9}$ grams.

Answer:

6,200,000 kilograms = $6.2\times10^{6}$ kilograms; 6,200,000 kilograms = $6.2\times10^{9}$ grams