Writing Express 0.00000846 in scientific notation. Use pencil and paper. How can negative powers of 10 make small numbers easier to write and compare?
\[
0.00000846=
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(Use scientific notation. Use the multiplication symbol in the math palette as needed.)

Step 1 ：Express the number 0.00000846 in scientific notation. To do this, move the decimal point to the right until we have a number between 1 and 10. We then multiply this number by 10 raised to the power of the number of places we moved the decimal point. If we moved the decimal point to the right, the exponent will be negative, indicating that the original number was less than 1.

Step 2 ：We moved the decimal point 6 places to the right, so the exponent will be -6. The number between 1 and 10 that we get is 8.46. Therefore, 0.00000846 in scientific notation is \(8.46 \times 10^{-6}\).

Step 3 ：Negative powers of 10 make small numbers easier to write and compare because they allow us to express very small numbers in a more compact and understandable way. For example, it's much easier to write and compare \(8.46 \times 10^{-6}\) and \(3.21 \times 10^{-7}\) than 0.00000846 and 0.000000321.

Step 4 ：Final Answer: \(0.00000846 = \boxed{8.46 \times 10^{-6}}\)