Question

(a) Convert 0.1 hectometers (hm) to meters (m).Conversion facts for length1000 millimeters (mm) 1 meter (m)m(b) Convert 8 decimeters (dm) to meters (m).100 centimeters (cm) = 1 meter (m)10 decimeters (dm)1 meter (m)1 dekameter (dam)10 meters (m)ХХ?1 hectometer (hm) = 100 meters (m)1 kilometer (km) = 1000 meters (m)

Answer 1

`\begin{gathered} \mathbf{0.1hm=10m} \\ \mathbf{8dm=0.8m} \end{gathered}`

1) There is a practical way to convert those units from the Metric System. We can sketch out a ladder so that it is easier to understand:

2) Since we have 0.1 hectometers to convert into meters let's write in blue, so 0.1 hm = 10 m Notice that we have actually multiplied by 10 and then 10 again.

2.2) Now, let's go all the way up from dm to meters, in red. So 8 dm is equivalent to 0.8m (Actually we have divided by 10)

3) Hence the answer is:

`\begin{gathered} 0.1hm=10m \\ 8dm=0.8m \end{gathered}`