Question

One fluid ounce is equivalent to
0.0078125 US liquid gallon. How do you write 0.0078125 in scientific notation?

Answer 1

To write the number 0.0078125 in scientific notation, you can express it as a number between 1 and 10 multiplied by a power of 10.

1. Move the decimal point to the right until you have a number between 1 and 10. In this case, moving the decimal point three places to the right gives you 7.8125.
2. Since you moved the decimal point three places to the right, you need to multiply by \(10^{-3}\) to indicate that the original number was smaller.

Therefore, \(0.0078125\) in scientific notation is written as:

\[
7.8125 \times 10^{-3}
\]