1\nthe speed of light in a vacuum is about 300,000,000 meters per second, which can be written as ( 3 \times…
1\nthe speed of light in a vacuum is about 300,000,000 meters per second, which can be written as ( 3 \times 10^n ) meters per second. what is ( n )?\na. 8\nb. 9\nc. -9\nd. -8
Answer
Explanation:
Step1: Recall scientific notation
Scientific notation is of the form ( a\times10^{n} ), where ( 1\leq a<10 ) and ( n ) is an integer. The number given is 300,000,000.
Step2: Express 300,000,000 in scientific notation
We can write 300,000,000 as ( 3\times100,000,000 ). And ( 100,000,000 = 10^{8} ) (since ( 10^{8}=10\times10\times10\times10\times10\times10\times10\times10 = 100000000 )). So ( 300000000=3\times10^{8} ).
Answer:
A