Question

Change 51 pounds to ounces. A. 408 oz B. \(2,753\) oz C. 17 oz D. 816 oz

Short answer

51 pounds is 816 ounces, answer D.

Step-by-step solution

Understand the Conversion Factor

To convert pounds to ounces, you need to know the conversion factor between these two units. There are 16 ounces in 1 pound.

Set Up the Conversion Equation

Since there are 16 ounces in 1 pound, to find out how many ounces are in 51 pounds, you multiply the number of pounds by 16. The equation is: \[ \text{Ounces} = 51 \times 16 \]

Perform the Calculation

Use the equation from the previous step to calculate the number of ounces: \[ 51 \times 16 = 816 \] Therefore, 51 pounds is equal to 816 ounces.

Find the Correct Answer from the Options

Now compare your calculated result with the options given. The correct answer for the conversion of 51 pounds to ounces is D. 816 oz.

Key concepts

Pounds to Ounces Conversion

Unit conversion is a fundamental concept in math that allows us to express measurements in a different unit of the same quantity. Here, we're focusing on converting pounds to ounces. This type of conversion is common and necessary in various fields such as cooking, science, and engineering.
For the conversion between pounds and ounces, the key piece of information is the conversion factor. In this case, 1 pound is equal to 16 ounces. This means that for every pound you have, you have 16 times that amount in ounces.
Using this conversion factor is essential in ensuring that you are calculating the right quantities when shifting between these two units. Always remember: to convert a larger unit (pounds) into a smaller unit (ounces), you multiply by the conversion factor.

Mathematical Operations

Mathematical operations are the procedures we use to manipulate numbers and perform calculations. The basic operations include addition, subtraction, multiplication, and division.
In the context of unit conversion, particularly when converting pounds to ounces, multiplication is the primary operation used. This is because you start with pounds and want to convert them to ounces using the known conversion factor. By knowing that a pound is made up of 16 ounces, you can multiply the number of pounds by 16 to get the equivalent number of ounces.
Understanding which mathematical operation to use is crucial for solving problems accurately. In situations where you need to find a part of a whole or increase a quantity by a specific factor, multiplication is often your go-to operation.

Multiplication

Multiplication is one of the four fundamental arithmetic operations and is essentially repeated addition. When asked to convert pounds to ounces, multiplication is employed to calculate the total number of ounces from the given number of pounds.
Here's how it works: if we want to convert 51 pounds to ounces, we multiply 51 by the conversion factor of 16, because there are 16 ounces in each pound. Therefore, the calculation becomes:

• \(51 imes 16 = 816\)

By multiplying, you are effectively adding 16 ounces 51 times, which gives you a straightforward way to understand how multiplication simplifies repeated addition in unit conversions.

Problem-Solving Steps

Problem-solving in math involves executing a series of logical steps to arrive at a solution. When dealing with unit conversions like changing pounds to ounces, following a structured approach is beneficial. * First, **understand the problem**: Know what units you're converting and the relationship between them — here, 1 pound equals 16 ounces. * Second, **set up the equation**: Translate your understanding into a mathematical equation that represents the conversion. * Third, **perform the calculation**: Use the appropriate mathematical operation to get the result. In our case, multiply the pounds by 16. * Lastly, **check your work**: Compare your result to any given options or recheck your math to ensure accuracy. By employing these problem-solving steps, you can systematically tackle similar problems with confidence and efficiency.