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

Question

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

Explanation:

Step1: Recall conversion factor

We know that $1\ cm = 10^{7}\ nm$. So the conversion formula from cm to nm is $x\ cm\times\frac{10^{7}\ nm}{1\ cm}$.

Step2: Identify values for #1 and #2

Comparing with $23.6\ cm\times\frac{\#2}{\#1}=\#3\ nm$, we have $\#1 = 1\ cm$ and $\#2=10^{7}\ nm$.

Step3: Calculate #3

$\#3=23.6\times10^{7}\ nm = 2.36\times 10^{8}\ nm$

Answer:

#1 = 1 cm
#2 = $10^{7}$ nm
#3 = $2.36\times 10^{8}$ nm