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Chapter 8: Problem 6

Complete. $$ 10 \mathrm{lb}=\quad \mathrm{oz} $$

Short Answer

Expert verified
160 oz

Step by step solution

01

Understand the Conversion Factor

First, identify the conversion factor between pounds and ounces. There are 16 ounces in 1 pound.
02

Set Up the Conversion

To convert 10 pounds to ounces, multiply the number of pounds by the conversion factor. Use the formula: \[ \text{ounces} = \text{pounds} \times 16 \]
03

Perform the Calculation

Substitute 10 pounds into the formula: \[ \text{ounces} = 10 \times 16 \] Simplify the calculation: \[ \text{ounces} = 160 \]

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Key Concepts

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

Unit Conversion
Unit conversion is a crucial concept in mathematics and science. It refers to the process of converting a quantity from one unit to another. In this exercise, we are converting pounds to ounces.

The key to successful unit conversion is knowing the correct conversion factor. A conversion factor is a number used to change one set of units to another, by multiplying or dividing.

For example: There are 16 ounces in 1 pound. This means the conversion factor between pounds and ounces is 16. Having this baseline knowledge makes the process straightforward and error-free.
Measurement
Measurement is the process of determining the size, quantity, or degree of something. It is fundamental in science, industry, and everyday life.

The exercise at hand involves measuring weight. Weight can be measured in various units depending on the system being used, such as pounds and ounces in the Imperial system or grams and kilograms in the Metric system.

In the context of this exercise, we are dealing with pounds (lb) and ounces (oz). Understanding these units and how they relate to each other is crucial for accurate calculations.
Arithmetic Multiplication
Arithmetic Multiplication is one of the basic operations in mathematics. It involves adding a number to itself a certain number of times.

In our conversion of pounds to ounces, we multiply because the conversion factor is a multiplication relationship: \(\text{ounces} = \text{pounds} \times 16\).

Let's go through the calculation process:
  • Identify the number of pounds: 10
  • Identify the conversion factor: 16
  • Multiply these values: \(\text{ounces} = 10 \times 16 = 160\)

      • This shows how important understanding and correctly applying multiplication are for unit conversions.

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Convert to percent notation. 0.452
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