Approximately how many inches are in 2500 millimeters? Unit of LengthCustomary System UnitsMetric System Units1 inch2.54 centimeters1 foot0.3048 meters1 mile1.61 kilometersa=64 inchesb=98 inchesc=635 inchesd=984 inches
The Correct Answer and Explanation is:
To convert 2500 millimeters to inches, we need to use the conversion factor between millimeters and inches. The given conversion factor states that 1 inch is equivalent to 2.54 centimeters.
Step 1: Convert millimeters to centimeters
Since 1 centimeter (cm) is 10 millimeters (mm), we can convert 2500 millimeters into centimeters:
[
2500 \, \text{mm} \times \frac{1 \, \text{cm}}{10 \, \text{mm}} = 250 \, \text{cm}
]
Step 2: Convert centimeters to inches
Next, we need to convert 250 centimeters into inches. Using the conversion factor that 1 inch = 2.54 centimeters, we divide 250 centimeters by 2.54 to get the measurement in inches:
[
250 \, \text{cm} \times \frac{1 \, \text{inch}}{2.54 \, \text{cm}} = \frac{250}{2.54} \approx 98.43 \, \text{inches}
]
Step 3: Round the result
Since the result, 98.43 inches, is closest to 98 inches, we can round it to approximately 98 inches.
Thus, the correct answer is b) 98 inches.
Explanation:
To understand the process clearly, it is essential to know the relationship between the metric and customary systems. In this case, we worked through two main conversions: millimeters to centimeters and centimeters to inches. Each step involved applying the appropriate conversion factors. By first converting the millimeters to centimeters (since 1 centimeter = 10 millimeters), and then using the known conversion factor between centimeters and inches (1 inch = 2.54 centimeters), we arrived at the correct answer of 98 inches.
This conversion is typical for converting metric measurements (in this case, millimeters) to customary units, like inches, when handling lengths or distances. By knowing how to manipulate conversion factors, we can quickly convert between various units within different measurement systems.