To solve the problem of converting 50 millimeters (mm) into centimeters (cm), we can use the given relationship that 10 millimeters is equivalent to 1 centimeter.
Here's a step-by-step solution:
1. Understand the Conversion Factor:
- The relationship given is: [tex]\(10 \, \text{mm} = 1 \, \text{cm}\)[/tex]
2. Identify the Value to Convert:
- We need to convert [tex]\(50 \, \text{mm}\)[/tex] into centimeters.
3. Set Up the Conversion:
- Use the conversion factor to set up the problem. Since [tex]\(10 \, \text{mm} = 1 \, \text{cm}\)[/tex], we can convert millimeters to centimeters by dividing by the conversion factor, which is 10.
4. Perform the Conversion:
- Take the value [tex]\(50 \, \text{mm}\)[/tex] and divide it by 10 to convert it to centimeters:
[tex]\[
50 \, \text{mm} \div 10 = 5 \, \text{cm}
\][/tex]
5. Conclusion:
- Therefore, [tex]\(50 \, \text{mm}\)[/tex] is equal to [tex]\(5 \, \text{cm}\)[/tex].
So, the final answer is:
[tex]\[
50 \, \text{mm} = 5 \, \text{cm}
\][/tex]
