Answer:
[tex]\large \boxed{\text{670 m}}[/tex]
Explanation:
Dimensional analysis uses the fact that any number can be multiplied by one without changing its value.
You want to convert hectometres to metres, so you multiply the hectometres by a conversion factor that equals one.
For example, you know that hecto means "× 10², so
1 hm = 100 m
If we divide each side by 1 hm, we get 1 = 100 m/1 hm.
If we divide each side by 100 m, we get 1 hm/100 m = 1.
So, we can use either (100 m/1 hm) or (1 hm/100 m) as a conversion factor, because each fraction equals one.
We choose the former, because it has the desired units on top.
The calculation becomes
[tex]\text{Distance} = \text{6.7 hm} \times \dfrac{\text{100 m}}{\text{1 hm}} = \textbf{670 m}\\\\\text{6.7 hm} =\, $\large \boxed{\textbf{670 m}}$}[/tex]
