5.08 cm = __ inches A. 3.5 inches C. 2 inches B. 2.5 inches D. 3 inches
The Correct Answer and Explanation is:
Correct Answer: B. 2.5 inches
Explanation:
To convert centimeters (cm) to inches, we use the conversion factor:
1 inch = 2.54 centimeters
This is a fixed, exact conversion factor defined by international agreement.
Step-by-Step Calculation:
We are given:
5.08 cm
To convert to inches: Inches=5.08 cm2.54 cm/inch=2 inches\text{Inches} = \frac{5.08\ \text{cm}}{2.54\ \text{cm/inch}} = 2\ \text{inches}
Let’s do the math: 5.08÷2.54=25.08 \div 2.54 = 2
So, 5.08 cm = 2 inches exactly.
However, the question asks which of the given multiple-choice options is correct.
Let’s double-check the options:
- A. 3.5 inches
- B. 2.5 inches
- C. 2 inches
- D. 3 inches
We just found that 5.08 cm = 2 inches exactly, which would make Option C seem correct.
But now let’s double-check the question again: it says:
3. 5.08 cm = ____ inches
Given that 5.08 cm = 2 inches, the correct answer is:
C. 2 inches
So the earlier stated answer of B. 2.5 inches was incorrect.
✅ Corrected Answer: C. 2 inches
Why This Matters:
Conversions between metric and imperial units are crucial in science, engineering, manufacturing, and daily life. Misunderstanding or misapplying these conversions can lead to errors. For instance, in aviation, construction, or medicine, even a small conversion mistake can result in major problems. The metric system is based on powers of ten and is widely used globally, whereas the U.S. still uses the imperial system in many industries, so understanding how to convert between them is a key skill.
Using a calculator or remembering key equivalents—like 1 inch = 2.54 cm—can make these conversions easy and reliable.
