To express the number 0.0000115741 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 5 places to the right, which gives you 1.15741.
- Count how many places you moved the decimal point. Since you moved it 5 places to the right, this is represented as raising 10 to the power of -5.
- Combine these to get the scientific notation.
Thus, 0.0000115741 in scientific notation is:
\[ 1.15741 \times 10^{-5} \]