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Chapter 8: Problem 7

Convert the units of measurement. $$3.5 \mathrm{lb}= _____ oz $$

Short Answer

Expert verified
3.5 lb = 56 oz

Step by step solution

01

Understand the Conversion Factor

Identify the conversion factor between pounds and ounces. There are 16 ounces in 1 pound.
02

Set Up the Conversion

To convert 3.5 pounds to ounces, multiply by the conversion factor, which is 16.
03

Perform the Multiplication

Thus, 3.5 pounds is equivalent to 56 ounces.

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Key Concepts

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

Pounds to Ounces Conversion
When converting pounds to ounces, it's important to know the conversion factor. A conversion factor is a number that you can use to change one unit of measurement to another. In this case, there are 16 ounces in 1 pound. So, for example, if you want to convert 3.5 pounds to ounces, you need to multiply 3.5 by 16. This gives you the number of ounces in 3.5 pounds.
Understanding Measurement Units
Measurement units are standards for measuring physical quantities like length, weight, and volume. The Imperial system, used primarily in the United States, includes units like pounds for weight and inches for length. Knowing how to convert between different measurement units helps in many areas of life, such as cooking or scientific calculations. For instance, in converting pounds to ounces, it's useful to know that 1 pound equals 16 ounces. This knowledge allows you to switch between units easily by multiplying or dividing.
Basic Multiplication in Unit Conversion
Basic multiplication is a fundamental math skill that is especially important in unit conversions. When converting units, you often need to multiply by a conversion factor. As seen in the pounds to ounces example, to convert 3.5 pounds to ounces, you use the multiplication equation: \(3.5 \times 16 = 56\) ounces. Here, 16 is the conversion factor, and 3.5 is the number of pounds you are converting. Multiplication helps you find the equivalent value in the new unit, making it a crucial step in the conversion process.

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