If 1 kilogram equals 2.2 pounds, how many kilograms are there in 130 pounds to the nearest tenth of a kilogram?
The correct answer and explanation is:
To convert 130 pounds into kilograms, start by using the conversion factor provided: 1 kilogram = 2.2 pounds.
To convert pounds to kilograms, the formula is: kilograms=poundsconversion factor\text{kilograms} = \frac{\text{pounds}}{\text{conversion factor}}
Given the conversion factor of 1 kilogram = 2.2 pounds, you can plug in the value for pounds (130) into the formula: kilograms=1302.2\text{kilograms} = \frac{130}{2.2}
When you divide 130 by 2.2, the result is approximately: kilograms≈59.0909\text{kilograms} \approx 59.0909
Rounding this to the nearest tenth, we get: kilograms≈59.1\text{kilograms} \approx 59.1
Thus, 130 pounds is approximately 59.1 kilograms.
Explanation:
This conversion process works by using the relationship between pounds and kilograms. Since 1 kilogram is equivalent to 2.2 pounds, dividing the number of pounds by 2.2 converts the weight into kilograms. The reason for rounding the result to the nearest tenth is to make it easier to express and use in everyday situations, where extreme precision might not be necessary.
Conversion factors are useful in a variety of contexts, especially when dealing with measurements across different systems. By understanding how to manipulate these relationships, it becomes simple to convert between units such as pounds and kilograms, making the result accessible and understandable.