Final answer:
The value associated with the prefix nano- is 10^-9. To convert numbers between ordinary form and scientific notation, move the decimal point to create a number between 1 and 10 and multiply by 10 raised to the number of places the decimal was moved.
Step-by-step explanation:
The prefix nano is associated with the value 10^-9. This means that one nanometer (nm) is one-billionth of a meter or 0.000000001 meters. To convert ordinary numbers to and from scientific notation, we shift the decimal point to create a number between 1 and 10, and then multiply by 10 to the power of the number of places we moved the decimal point. For example, 0.000006567 can be written as 6.567 × 10^-6 in scientific notation because the decimal point has moved 6 places to the right. Likewise, a number like 6.22 × 10^-2 in scientific notation would be written as 0.0622 in decimal form.
When working with different units and their prefixes, such as expressing a value in nanometers or converting units using scientific notation, using the corresponding power of ten allows us to easily shift between different scales.