To express the number 0.00000832 in scientific notation, we follow these steps:
- Move the decimal point to the right until we have a number between 1 and 10. In this case, moving the decimal point 3 places to the right gives us 8.32.
- Since we moved the decimal point 3 places to the right, we multiply by 10 raised to the negative of the number of places we moved (because we moved the decimal to the right).
So, the scientific notation for 0.00000832 is:
\[ 8.32 \times 10^{-6} \]