Question

1. convert the following to the correct metric unit: 23.6 cm × #2 / #1 = #3 nm #1= #2= #3=

Explanation:

Step1: Recall conversion factors

1 cm = 10 mm, 1 mm = 1000 μm, 1 μm = 1000 nm, so 1 cm=10×1000×1000 nm = 10^7 nm.

Step2: Set up the conversion

We want to convert 23.6 cm to nm. The conversion factor is $\frac{10^{7}\ nm}{1\ cm}$. So #1 = 1 cm, #2=10^{7} nm.

Step3: Calculate the result

$23.6\ cm\times\frac{10^{7}\ nm}{1\ cm}=2.36\times 10^{8}\ nm$. So #3 = $2.36\times 10^{8}$.

Answer:

#1 = 1 cm
#2 = 10^{7} nm
#3 = 2.36×10^{8}