Answered

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(a) Convert 48 meters ( [tex]$m$[/tex] ) to hectometers (hm).

[tex]\[
\boxed{\text{ } \text{ } hm}
\][/tex]

(b) Convert 5.5 meters ( [tex]$m$[/tex] ) to decimeters (dm).

[tex]\[
\boxed{\text{ } \text{ } dm}
\][/tex]

Conversion facts for length:

[tex]\[
\begin{tabular}{|rl|}
\hline
1000 millimeters (mm) & = 1 meter (m) \\
\hline
100 centimeters (cm) & = 1 meter (m) \\
\hline
10 decimeters (dm) & = 1 meter (m) \\
1 dekameter (dam) & = 10 meters (m) \\
1 hectometer (hm) & = 100 meters (m) \\
\hline
1 kilometer (km) & = 1000 meters (m) \\
\hline
\end{tabular}
\][/tex]

Sagot :

GinnyAnswer
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]
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