Question

express the distance 3,100,000 meters using scientific notation in meters and then in millimeters. the distance 3,100,000 meters is expressed as meters in scientific notation. (use scientific notation. use the multiplication symbol in the math palette as needed.)

Explanation:

Step1: Recall scientific - notation form

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

Step2: Rewrite 3100000 in scientific notation for meters

For 3100000, move the decimal point 6 places to the left to get $a = 3.1$. Since we moved the decimal point 6 places to the left, $n=6$. So, in meters, it is $3.1\times 10^{6}$ meters.

Step3: Convert meters to millimeters

Since 1 meter = 1000 millimeters = $1\times10^{3}$ millimeters, then 3100000 meters = $3100000\times1000$ millimeters.

Step4: Rewrite the result in scientific notation for millimeters

$3100000\times1000=3100000000$. Move the decimal point 9 places to the left to get $a = 3.1$ and $n = 9$. So, in millimeters, it is $3.1\times10^{9}$ millimeters.

Answer:

In meters: $3.1\times 10^{6}$ meters; In millimeters: $3.1\times 10^{9}$ millimeters