Use the conversion factor 2.2 pounds =1 kilogram to convert 15 pounds into kilograms. What does 115 pounds equal in kilograms
The Correct Answer and Explanation is:
To convert pounds into kilograms using the conversion factor 2.2 pounds = 1 kilogram, we follow these steps:
Step-by-step Conversion:
1. Converting 15 pounds to kilograms:
We use the conversion factor:1 kilogram=2.2 pounds1 \text{ kilogram} = 2.2 \text{ pounds}1 kilogram=2.2 pounds
To convert from pounds to kilograms, divide the number of pounds by 2.2:15÷2.2=6.8181818≈6.82 kilograms15 \div 2.2 = 6.8181818 \approx \boxed{6.82 \text{ kilograms}}15÷2.2=6.8181818≈6.82 kilograms
So, 15 pounds is approximately 6.82 kilograms.
2. Converting 115 pounds to kilograms:115÷2.2=52.272727≈52.27 kilograms115 \div 2.2 = 52.272727 \approx \boxed{52.27 \text{ kilograms}}115÷2.2=52.272727≈52.27 kilograms
So, 115 pounds is approximately 52.27 kilograms.
Explanation:
When converting between measurement units, we often rely on known relationships, called conversion factors. In this case, the relationship is that 2.2 pounds is equal to 1 kilogram. This means every kilogram weighs the same as 2.2 pounds. Therefore, to switch from pounds to kilograms, we divide the number of pounds by 2.2. This gives us how many times 2.2 pounds fit into the total, which equals the weight in kilograms.
For example, if someone weighs 15 pounds, dividing 15 by 2.2 gives 6.82. This tells us that 15 pounds is about 6.82 kilograms. Similarly, for a person or object that weighs 115 pounds, dividing by 2.2 gives around 52.27 kilograms.
This conversion is useful in science, medicine, sports, and international travel, where the metric system (kilograms) is commonly used instead of the imperial system (pounds). Understanding how to switch between the two ensures accurate communication of measurements across different regions of the world.
Always remember that converting from a larger unit (pounds) to a smaller one (kilograms) involves division when the conversion factor tells you how many of the larger units are equal to one smaller unit. That is why we divide pounds by 2.2 in this case.
Thus, 15 pounds is 6.82 kilograms and 115 pounds is 52.27 kilograms.
