(a) Convert 538 meters (m) to hectometers (hm).

[tex]\[ \square \, \text{hm} \][/tex]

(b) Convert 7.4 meters (m) to decimeters (dm).

[tex]\[ \square \, \text{dm} \][/tex]

\begin{tabular}{|r|r|}
\hline
Conversion facts for length \\
\hline
1000 millimeters (mm) = 1 meter (m) \\
\hline
100 centimeters (cm) = 1 meter (m) \\
\hline
10 decimeters (dm) = 1 meter (m) \\
\hline
1 dekameter (dam) = 10 meters (m) \\
\hline
1 hectometer (hm) = 100 meters (m) \\
\hline
1 kilometer (km) = 1000 meters (m) \\
\hline
\end{tabular}



Answer :

Let's work through the conversions step-by-step:

### Part (a): Convert 538 meters (m) to hectometers (hm)
We know that:
[tex]\[ 1 \text{ hectometer (hm)} = 100 \text{ meters (m)} \][/tex]

To convert from meters to hectometers, we need to divide the number of meters by 100:
[tex]\[ 538 \text{ m} = \frac{538}{100} \text{ hm} \][/tex]

Doing the division:
[tex]\[ 538 \text{ m} = 5.38 \text{ hm} \][/tex]

So,
[tex]\[ \boxed{5.38 \text{ hm}} \][/tex]

### Part (b): Convert 7.4 meters (m) to decimeters (dm)
We know that:
[tex]\[ 1 \text{ meter (m)} = 10 \text{ decimeters (dm)} \][/tex]

To convert from meters to decimeters, we need to multiply the number of meters by 10:
[tex]\[ 7.4 \text{ m} = 7.4 \times 10 \text{ dm} \][/tex]

Performing the multiplication:
[tex]\[ 7.4 \text{ m} = 74 \text{ dm} \][/tex]

So,
[tex]\[ \boxed{74 \text{ dm}} \][/tex]