To convert the number 0.000456 into scientific notation, you need to express it in the form of \( a \times 10^n \), where \( 1 \leq a < 10 \) and \( n \) is an integer.
For 0.000456:
- Move the decimal point 4 places to the right to get 4.56.
- This gives us \( 4.56 \).
- Since we moved the decimal to the right, we must use a negative exponent.
Thus, 0.000456 can be written in scientific notation as:
\[ 4.56 \times 10^{-4} \]