To write \( 0.000456 \) in scientific notation, we need to express it in the form \( a \times 10^n \), where \( 1 \leq a < 10 \) and \( n \) is an integer.
To do this, we move the decimal point to the right until we have a number between 1 and 10.
Moving the decimal point 4 places to the right gives us:
\[ 4.56 \]
Because we moved the decimal point to the right, we need to use a negative exponent for 10. Since we moved it 4 places, we have:
\[ 0.000456 = 4.56 \times 10^{-4} \]
Thus, the scientific notation for \( 0.000456 \) is:
\[ \boxed{4.56 \times 10^{-4}} \]
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