Sure, let's solve the given question step-by-step to understand the conversions and fill in the table accordingly.
1. Conversion of 275 cm:
- We want to convert 275 cm to M (Meters).
- 1 meter (M) = 100 centimeters (cm).
- Therefore, [tex]\( \frac{275 \text{ cm}}{100} = 2.75 \text{ M} \)[/tex].
- Hence, 275 cm is converted to 2.75 M.
- So the table entry under [tex]$M$[/tex] for 275 cm is 2.75.
2. Conversion of 518 mm:
- We want to convert 518 mm to M (Meters).
- 1 meter (M) = 1000 millimeters (mm).
- Therefore, [tex]\( \frac{518 \text{ mm}}{1000} = 0.518 \text{ M} \)[/tex].
- Hence, 518 mm is converted to 0.518 M.
- So the table entry under [tex]$M$[/tex] for 518 mm is 0.518.
3. Conversion of 743 dm:
- We want to convert 743 dm to M (Meters).
- 1 meter (M) = 10 decimeters (dm).
- Therefore, [tex]\( \frac{743 \text{ dm}}{10} = 74.3 \text{ M} \)[/tex].
- Hence, 743 dm is converted to 74.3 M.
- So the table entry under [tex]$M$[/tex] for 743 dm is 74.3.
4. Conversion of 3,162 mm:
- We want to convert 3,162 mm to M (Meters).
- 1 meter (M) = 1000 millimeters (mm).
- Therefore, [tex]\( \frac{3,162 \text{ mm}}{1000} = 3.162 \text{ M} \)[/tex].
- Hence, 3,162 mm is converted to 3.162 M.
- So the table entry under [tex]$M$[/tex] for 3162 mm is 3.162.
Updated Table:
[tex]\[
\begin{array}{|c|c|c|c|c|}
\hline
& M & 1 M & C M & M M \\
\hline
275 \,\text{cm} & 2.75 & 200 & 2.000 & 20.000 \\
\hline
518 \,\text{mm} & 0.518 & 7 & 5 & 0 \\
\hline
743 \,\text{dm} & 74.3 & & & \\
\hline
3,162 \,\text{mm} & 3.162 & & & \\
\hline
\end{array}
\][/tex]
This completes our table calculations for the given question.
