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To write \(0.000456\) in scientific notation, you need to express it as a number between 1 and 10 multiplied by a power of 10.
Here are the steps:
1. Move the decimal point to the right until you have a number between 1 and 10. In this case, moving the decimal point 4 places to the right gives you \(4.56\).
2. Count how many places you moved the decimal point. Since you moved it 4 places to the right, this corresponds to \(-4\).
3. Therefore, you can write \(0.000456\) as:
\[
4.56 \times 10^{-4}
\]
So, in scientific notation, \(0.000456\) is \(4.56 \times 10^{-4}\).