Question

express the distance 430,000,000 meters using scientific notation. use the multiplication symbol in the math palette as needed. the distance 430,000,000 meters is expressed as meters in scientific notation.

Explanation:

Step1: Recall scientific - notation form

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

Step2: Rewrite 430000000 in scientific notation

For the number 430000000, move the decimal point 8 places to the left to get $a = 4.3$ and $n=8$. So, 430000000 meters in scientific notation is $4.3\times10^{8}$ meters.

Step3: Convert meters to millimeters

Since 1 meter = 1000 millimeters = $1\times10^{3}$ millimeters, then 430000000 meters = $430000000\times1000$ millimeters.
$430000000\times1000=430000000000$ millimeters. In scientific notation, move the decimal point 11 places to the left, so it is $4.3\times10^{11}$ millimeters.

Answer:

$4.3\times10^{8}$ meters; $4.3\times10^{11}$ millimeters