To convert 9.81 million into scientific notation, follow these steps:
1. Understand what "million" means: In mathematics, one million is equivalent to [tex]\( 1,000,000 \)[/tex] (which can be written as [tex]\( 10^6 \)[/tex]).
2. Express 9.81 million: To express 9.81 million, multiply 9.81 by [tex]\( 1,000,000 \)[/tex]. This can be written as:
[tex]\[
9.81 \times 1,000,000
\][/tex]
3. Convert to scientific notation:
In scientific notation, a number is written as [tex]\( a \times 10^n \)[/tex], where [tex]\( 1 \leq a < 10 \)[/tex] and [tex]\( n \)[/tex] is an integer.
Since [tex]\( 1,000,000 \)[/tex] is equal to [tex]\( 10^6 \)[/tex], we can rewrite the expression as:
[tex]\[
9.81 \times 10^6
\][/tex]
Therefore, the scientific notation for 9.81 million is [tex]\( 9.81 \times 10^6 \)[/tex].
So the correct option is:
C. [tex]\( 9.81 \cdot 10^6 \)[/tex]
