0.9cmx0.9cm = 0.81cm²
9mmx9mm = 81mm²
Do these two numbers equate?
In: 0
Think of it like this:
> (0.9cm)x(0.9cm)=(0.81)x(cm)x(cm)=0.81cm^2
> (9mm)x(9mm)=(81)x(mm)x(mm)=81mm^2
How do we know whether they are equal? Well, we have an equation relating cm to mm:
> (0.1cm)=(1mm)
So, to “convert” from 81x(mm)x(mm) to (???)x(cm)x(cm) we have to convert (1mm) to (0.1cm) two times. If we only convert once…
> (81)x(mm)x(mm)=(81)x(0.1cm)x(mm)=(8.1)x(cm)x(mm)
Then we are in a weird spot where our units are in terms of cm^1 mm^1 instead of more common choices like mm^2 or cm^2.
> 81mm^2 = 8.1 cm^1 mm^1 = 0.81 cm^2
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