Question

question the wavelength of yellow light is approximately 0.000000580 m. write this quantity in nanometers. • write the answer in scientific notation. • when reporting your answer in scientific notation format, use the multiplication symbol, ×, not the letter x. provide your answer below: □ nm

Explanation:

Step1: Recall the conversion factor

$1\ m = 10^{9}\ nm$

Step2: Convert the given length

$0.000000580\ m=0.000000580\times10^{9}\ nm$

Step3: Write in scientific - notation

$0.000000580\times10^{9}=5.8\times10^{-7}\times10^{9}\ nm$
Using the rule of exponents $a^{m}\times a^{n}=a^{m + n}$, we have $5.8\times10^{-7}\times10^{9}=5.8\times10^{-7 + 9}=5.8\times10^{2}\ nm$

Answer:

$5.8\times10^{2}\ nm$