Question

think about the process you want to express this number in scientific notation. what is the first step? what is the result? 437,000 what is the first step? a. move the decimal point 5 places to the left to get 4.37. b. move the decimal point 4 places to the left to get 4.37. c. move the decimal point 5 places to the right to get 4.37. d. move the decimal point 4 places to the right to get 4.37. 437,000 = (use scientific notation. use the multiplication symbol in the math palette as needed.)

Explanation:

Step1: Recall scientific - notation rule

Scientific notation is of the form $a\times10^{n}$, where $1\leq a<10$ and $n$ is an integer. For the number 437000, we need to move the decimal point to get a number between 1 and 10.

Step2: Determine decimal - point movement

The original number 437000 can be written as 437000.0. To get a number $a = 4.37$ (which is between 1 and 10), we move the decimal point 5 places to the left.

Step3: Write in scientific notation

Since we moved the decimal point 5 places to the left, $n = 5$. So, $437000=4.37\times10^{5}$.

Answer:

A. Move the decimal point 5 places to the left to get 4.37.
$4.37\times10^{5}$