To write the number 0.0078125 in scientific notation, you can follow these steps:
- Move the decimal point to the right until you have a number between 1 and 10. In this case, you would move the decimal point three places to the right, which gives you 7.8125.
- Count how many places you moved the decimal point. Since we moved it three places to the right, the exponent will be -3 (because we moved it to the right).
- Now, you can express 0.0078125 as \(7.8125 \times 10^{-3}\).
So, in scientific notation, 0.0078125 is written as \(7.8125 \times 10^{-3}\).