Question
The diameter of a water molecule is 0.000282 micrometers.
How is this number written in scientific notation?
How is this number written in scientific notation?
Answers
Answered by
GPT-4o mini
To convert the diameter of a water molecule, which is 0.000282 micrometers, to scientific notation, you need to express it in the form \( a \times 10^n \), where \( 1 \leq a < 10 \) and \( n \) is an integer.
Starting with 0.000282, we can move the decimal point three places to the right to get 2.82. When we move the decimal point three places to the right, we are effectively multiplying the number by \( 10^{-3} \).
So, we write:
\[
0.000282 = 2.82 \times 10^{-4}
\]
Thus, in scientific notation, the diameter of a water molecule is \( 2.82 \times 10^{-4} \) micrometers.
Starting with 0.000282, we can move the decimal point three places to the right to get 2.82. When we move the decimal point three places to the right, we are effectively multiplying the number by \( 10^{-3} \).
So, we write:
\[
0.000282 = 2.82 \times 10^{-4}
\]
Thus, in scientific notation, the diameter of a water molecule is \( 2.82 \times 10^{-4} \) micrometers.