Convert 1.750 pounds to __ grams
The Correct Answer and Explanation is:
To convert 1.750 pounds to grams, we need to know the conversion factor between pounds and grams. One pound (lb) is equal to approximately 453.592 grams. Therefore, to convert 1.750 pounds to grams, we can use the following equation:grams=1.750 lb×453.592 grams/lb\text{grams} = 1.750 \, \text{lb} \times 453.592 \, \text{grams/lb}grams=1.750lb×453.592grams/lb
Now, performing the multiplication:grams=1.750×453.592=793.786 grams\text{grams} = 1.750 \times 453.592 = 793.786 \, \text{grams}grams=1.750×453.592=793.786grams
Thus, 1.750 pounds is equivalent to 793.786 grams.
Explanation:
When dealing with unit conversions, it’s important to use the appropriate conversion factor. In this case, pounds (a unit of mass commonly used in the United States) need to be converted to grams (a unit of mass used in the metric system). The metric system, including grams, is used globally and provides a consistent method for measurement across many countries.
The conversion factor from pounds to grams is well-established, where 1 pound equals 453.592 grams. This is a constant ratio that allows us to switch between the two units depending on the need.
The multiplication process here is straightforward. By multiplying the given number of pounds (1.750) by the conversion factor (453.592 grams per pound), we arrive at the total weight in grams.
Understanding such conversions is crucial in fields such as chemistry, physics, and engineering, where precise measurements are needed. In these disciplines, small errors in conversions can lead to significant discrepancies in results, especially when dealing with chemical reactions or material science.
To ensure accuracy, always use the correct conversion factors and double-check your calculations. This way, you can ensure that all measurements are consistent and reliable for whatever application you’re working on.
