the radius of the planet neptune is approximately 15,300 miles. how is this number of miles written in scientific notation?

0.153 x 10^5
0.153 x 10^-5
1.53 x 10^4
1.53 x 10^-4

1 answer

To write the radius of Neptune, approximately 15,300 miles, in scientific notation, we want to express it in the form \( a \times 10^n \) where \( 1 \leq a < 10 \) and \( n \) is an integer.

The number 15,300 can be expressed as:

1.53 (which is between 1 and 10) multiplied by \( 10^4 \) (since you move the decimal point 4 places to the left to turn 15,300 into 1.53).

Thus, in scientific notation, it is written as:

\[ 1.53 \times 10^4 \]

So, the correct answer is:

1.53 x 10^4.