Question 1204570
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When using 6 unit multipliers, we could have this scratch work
1 ft = 12 in
30.48 cm = 1 ft
1 m = 100 cm
{{{
(matrix(1,2,"28,000",in^2))
(matrix(1,2,1,"ft")/matrix(1,2,12,"in"))
(matrix(1,2,1,"ft")/matrix(1,2,12,"in"))
(matrix(1,2,30.48,"cm")/matrix(1,2,1,"ft"))
(matrix(1,2,30.48,"cm")/matrix(1,2,1,"ft"))
(matrix(1,2,1,"m")/matrix(1,2,100,"cm"))
(matrix(1,2,1,"m")/matrix(1,2,100,"cm"))
= matrix(1,2,18.06448,m^2)
}}}
Notice the placement of the terms so the units "inches", "feet", and "centimeters" cancel.
See this <a href = "https://www.algebra.com/algebra/homework/Percentage-and-ratio-word-problems/Percentage-and-ratio-word-problems.faq.question.1200497.html">example</a>
We have two copies of each because something like "square inches" aka "in^2" basically means inches*inches


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When using 4 unit multipliers, we could have this scratch work
1 inch = 2.54 cm
100 cm = 1 meter
{{{
(matrix(1,2,"28,000",in^2))
(matrix(1,2,2.54,"cm")/matrix(1,2,1,"in"))
(matrix(1,2,2.54,"cm")/matrix(1,2,1,"in"))
(matrix(1,2,1,"m")/matrix(1,2,100,"cm"))
(matrix(1,2,1,"m")/matrix(1,2,100,"cm"))
= matrix(1,2,18.06448,m^2)}}}


Therefore,
{{{matrix(1,2,"28,000",in^2)= matrix(1,2,18.06448,m^2)}}}
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