Question

Write 0.000456 in scientific notation!

Answer 1

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 \(4.56 \times 10^{-4}\).