Question

multiple representations. express this mass using scientific notation in two ways, first with kilograms and then with grams. use pencil and paper. list some other scientific - notation forms for this mass using other metric prefixes. 6,200,000 kilograms (use scientific notation. use the multiplication symbol in the math palette as needed.) 6,200,000 kilograms = □ kilograms

Explanation:

Step1: Recall scientific - notation formula

Scientific notation is of the form $a\times10^{n}$, where $1\leq|a|\lt10$ and $n$ is an integer.

Step2: Express 6,200,000 kg in scientific - notation

For 6,200,000 kg, we move the decimal point 6 places to the left. So, $a = 6.2$ and $n=6$. The scientific - notation in kilograms is $6.2\times10^{6}\text{ kg}$.

Step3: Convert kg to g

Since $1\text{ kg}=1000\text{ g}=1\times10^{3}\text{ g}$, then 6,200,000 kg is $6,200,000\times10^{3}\text{ g}$.

Step4: Express in scientific - notation in grams

$6,200,000\times10^{3}\text{ g}=6.2\times10^{6}\times10^{3}\text{ g}$. Using the rule $a^{m}\times a^{n}=a^{m + n}$, we get $6.2\times10^{9}\text{ g}$.

Answer:

$6.2\times10^{6}\text{ kg}$; $6.2\times10^{9}\text{ g}$