What is 9.81 million in scientific notation?

A. [tex]9.81 \cdot 10^{15}[/tex]
B. [tex]9.81 \cdot 10^9[/tex]
C. [tex]9.81 \cdot 10^6[/tex]
D. [tex]9.81 \cdot 10^{12}[/tex]



Answer :

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]