Which of the following correctly expresses the average distance from Earth to the Moon (384,400,000 meters) in scientific notation?
A
3.844 × 10^{9} meters
B
3.844 × 10^{6} meters
C
3.844 × 10^{8} meters
D
3.844 × 10^{7} meters
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1
Identify the given number: 384,400,000 meters, which is the average distance from Earth to the Moon.
Recall that scientific notation expresses a number as a product of a number between 1 and 10 and a power of 10, in the form \(a \times 10^{n}\) where \(1 \leq a < 10\) and \(n\) is an integer.
Rewrite 384,400,000 by moving the decimal point to the left until only one non-zero digit remains to the left of the decimal point. Count how many places you move the decimal point.
Express the number as \(3.844 \times 10^{n}\), where \(n\) is the number of places the decimal point was moved to the left.
Compare the exponent \(n\) with the options given to select the correct scientific notation.