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 need to 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 3 places to the right gives you 7.8125.

2. Since you moved the decimal point 3 places to the right, you will multiply by \(10^{-3}\) to account for the shift.

Thus, the scientific notation of 0.0078125 is:

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