There are 2.5 cm in an inch. Express 100 inches in mks units? 10 m 0.25 m 25 m 2.5 m
The Correct Answer and Explanation is:
To convert 100 inches into MKS (meter-kilogram-second) units, we need to follow these steps:
- Convert inches to centimeters:
Since 1 inch is equal to 2.5 cm, we can calculate the length in centimeters as:
100 inches×2.5 cm/inch=250 cm100 \, \text{inches} \times 2.5 \, \text{cm/inch} = 250 \, \text{cm}100inches×2.5cm/inch=250cm - Convert centimeters to meters:
Next, we convert centimeters to meters, knowing that 1 meter equals 100 centimeters. Therefore, to convert 250 cm to meters, we divide by 100:
250 cm÷100=2.5 m250 \, \text{cm} \div 100 = 2.5 \, \text{m}250cm÷100=2.5m
So, the correct answer is 2.5 meters.
Explanation:
The problem requires us to convert 100 inches into the MKS unit system, where the base length unit is the meter (m). We begin by using the given conversion factor (2.5 cm = 1 inch) to convert inches to centimeters. Afterward, we convert the resulting centimeters into meters using the fact that 100 cm = 1 meter. This series of conversions allows us to express the original length in the appropriate MKS unit (meters), leading to the final result of 2.5 meters.
In summary, starting from inches, we first convert to centimeters and then to meters. The key to solving these types of unit conversion problems is using the correct conversion factors at each step.
