Answer
5.55 x $10^{-5}$ cm is the wavelength expressed in cm.
Work Step by Step
We are required to convert 555 nm to cm. Both nm and cm are units of length in international system of unit SI.
We should aim to go in two steps: step one to express nm into m, and in the next step express m into cm.
1- Step one 555 nm to be expressed into m. We know that in International System of units (SI) prefix n (nano) means the multiple is $10^{-9}$. So we can write:
555 nm = 555 x $10^{-9}$ m
2 Step 2: to express 555 x $10^{-9}$ m into cm.
1 m equal $10^{2}$ cm
555 x $10^{-9}$ m = 555 x $10^{-9}$ x $10^{2}$ cm
So the wavelength in cm would be: 555 x $10^{-7}$ cm
As we can write 555 = 5.55 x $10^{2}$ , then the wavelength can be written:
5.55 x $10^{2}$ x $10^{-7}$ cm
The wavelength in cm would be 5.55 x $10^{-5}$ cm .
