A woman walked 1.5 km on walk? treadmill at the gym.
A) How many meters did she walk?
B) How many fe
The correct answer and explanation is :
Let’s break this problem into two parts:
Part A: Convert kilometers to meters.
We know that 1 kilometer is equivalent to 1,000 meters. Therefore, to convert 1.5 kilometers to meters, we multiply 1.5 by 1,000.
[
1.5 \, \text{km} \times 1000 = 1500 \, \text{meters}
]
So, the woman walked 1,500 meters.
Part B: Convert kilometers to feet.
Next, we want to convert 1.5 kilometers to feet. We need to know how many feet are in one kilometer. There are approximately 3,280.84 feet in 1 kilometer. To convert 1.5 kilometers to feet, we multiply 1.5 by 3,280.84.
[
1.5 \, \text{km} \times 3280.84 \, \text{feet/km} = 4,921.26 \, \text{feet}
]
So, the woman walked 4,921.26 feet.
Explanation:
To convert from one unit of length to another (e.g., kilometers to meters or kilometers to feet), we use the conversion factor between those two units. The conversion factor for kilometers to meters is based on the fact that 1 kilometer is equal to 1,000 meters. For kilometers to feet, the conversion factor is that 1 kilometer equals approximately 3,280.84 feet.
In this problem, you simply multiply the given distance (1.5 km) by the respective conversion factor for each case (1000 for meters, 3280.84 for feet) to find the distance in the desired unit. The multiplication gives the correct answer because it adjusts the original unit (kilometers) into the new unit (meters or feet) based on the standardized conversion factors.
These types of conversion problems are essential for understanding measurements and making sure we can interpret and convert distances in different units depending on what is needed. By practicing these conversions, we become more comfortable working with different systems of measurement.