Certainly! Let's solve each part step-by-step, referencing the given conversion facts for length.
### Part (a) Convert 48 meters (m) to hectometers (hm)
Firstly, we need to recall the conversion fact for hectometers:
[tex]\[1 \text{ hectometer (hm)} = 100 \text{ meters (m)}\][/tex]
To convert meters to hectometers, we use the fact that:
[tex]\[1 \text{ meter} = \frac{1}{100} \text{ hectometers}\][/tex]
Now, applying this conversion:
[tex]\[48 \text{ meters} = 48 \times \frac{1}{100} \text{ hectometers}\][/tex]
Simplifying this:
[tex]\[48 \text{ meters} = 0.48 \text{ hectometers}\][/tex]
### Part (b) Convert 5.5 meters (m) to decimeters (dm)
Next, we need to recall the conversion fact for decimeters:
[tex]\[1 \text{ meter (m)} = 10 \text{ decimeters (dm)}\][/tex]
To convert meters to decimeters, we use the fact that:
[tex]\[1 \text{ meter} = 10 \text{ decimeters}\][/tex]
Now, applying this conversion:
[tex]\[5.5 \text{ meters} = 5.5 \times 10 \text{ decimeters}\][/tex]
Simplifying this:
[tex]\[5.5 \text{ meters} = 55.0 \text{ decimeters}\][/tex]
### Summary
- [tex]\(48 \text{ meters} = 0.48 \text{ hectometers}\)[/tex]
- [tex]\(5.5 \text{ meters} = 55.0 \text{ decimeters}\)[/tex]
