Question

Convert 0.000000431 m to nm, using the correct number of significant figures.

Options:
a) 431 nm
b) 4.31 nm
c) 43.1 nm
d) 0.431 nm

Answer 1

To convert 0.000000431 meters to nanometers, multiply by 10^9, which equals 431 nm. This answer has the same number of significant figures as the original measurement, therefore option a) 431 nm is correct.

Step-by-step explanation:

To convert 0.000000431 meters to nanometers (nm), we use the conversion factor that 1 meter is equal to 1,000,000,000 nanometers (109 nm). So, to convert meters to nanometers, you multiply the number of meters by 109.

0.000000431 m * 109 nm/m = 431 nm

When converting, it is important to consider significant figures. The original number has three significant figures, so the converted number should also have three significant figures. Thus, the answer, with the correct number of significant figures, is 431 nm.

The correct option is a) 431 nm.