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Chapter 1: Problem 38

How many pounds are there in \(765.4 \mathrm{g} ?\)

Short Answer

Expert verified
Question: Convert 765.4 grams to pounds. Answer: Approximately 1.6875 pounds.

Step by step solution

01

Obtain the conversion factor

The conversion factor between grams and pounds is: 1 pound (lb) = 453.59237 grams (g)
02

Set up the conversion equation

To convert 765.4 grams to pounds, we'll use the conversion factor we obtained in Step 1: Number of pounds = (765.4 g) * (1 lb / 453.59237 g)
03

Perform the calculation

Now, we only need to perform the calculation: Number of pounds = (765.4) * (1 / 453.59237) Number of pounds 鈮� 1.6875 So, there are approximately 1.6875 pounds in 765.4 grams.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Grams to Pounds Conversion
Converting between different units of measurement can sometimes feel challenging, but with some simple steps, it becomes easy. To convert grams to pounds, we use a standard conversion factor. The need for conversion often arises in cooking, sciences, or packaging, where measurements might be provided in grams while local standards might use pounds. Understanding this conversion not only helps in academic exercises but also in everyday applications. By performing this conversion, you'll bridge the gap between the metric system (grams) and the imperial system (pounds), helping ensure accuracy in your calculations.
Conversion Factor
A conversion factor is simply a ratio used to express the same quantity in different units. When converting grams to pounds, the conversion factor plays a critical role. For grams to pounds, the conversion factor is that 1 pound equals 453.59237 grams. The conversion factor allows us to translate measurements accurately without changing their quantity. It serves as a mathematical bridge to switch between units easily.
  • Think of it as a multiplier that transforms measurements from one unit to another.
  • Always ensure that the units cancel correctly in the conversion process, leaving you with the desired unit.
Recognizing and using the correct conversion factor ensures the success of unit conversion tasks and avoids errors in larger calculations.
Mathematical Calculation
Let's talk about mathematical calculations in unit conversion. After identifying the conversion factor, the next step is setting up your equation for calculation. The key here is to multiply the original measurement by the conversion factor.For example, if you have 765.4 grams and you want to convert it to pounds, you would set it up as follows:\[\text{Number of pounds} = 765.4 \times \left(\frac{1}{453.59237}\right)\]Performing this calculation gives you approximately 1.6875 pounds.
  • Remember to check your work: the original unit (grams) should cancel out, leaving only the desired unit (pounds).
  • Being meticulous with calculations helps prevent errors and ensures accuracy.
It's a straightforward multiplication, but attention to detail with the numbers and units is what leads to a correct answer.

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Most popular questions from this chapter

Indicate whether each of the following properties is a physical or a chemical property of the element sodium: a. Its density is greater than that of kerosene and less than that of water. b. It has a lower melting point than that of most metals. c. It is an excellent conductor of heat and clectricity. d. It is soft and can be easily cut with a knife. e. Freshly cut sodium is shiny, but it rapidly tarnishes in contact with air. I. It reacts very vigorously with water to form hydrogen gas \(\left(\mathrm{H}_{2}\right)\) and sodium hydroxide \((\mathrm{NaOH})\).

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How many gallons are there in \(108 \mathrm{mL} ?\)
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