Question

Change 72 ounces to pounds and write the remainder in ounces. A. 3 lb 7 oz B. 4 lb 8 oz C. 4 lb 5 oz D. 3 lb 14 oz

Short answer

72 ounces is 4 lb 8 oz (Choice B).

Step-by-step solution

Understand the Units

We need to convert ounces into pounds. Specifically, we need to know that 1 pound equals 16 ounces.

Set Up the Conversion

We are given 72 ounces and need to find out how many pounds and remaining ounces this is equivalent to.

Divide to Find Pounds

Divide 72 ounces by 16, since there are 16 ounces in 1 pound: \[72 \div 16 = 4 \text{ pounds}\]

Calculate Remaining Ounces

Find the remainder from the division in Step 3 to determine the leftover ounces:\[72 \mod 16 = 8 \text{ ounces}\]

Formulate the Answer

Combine the results from Steps 3 and 4: 72 ounces is 4 pounds and 8 ounces.

Key concepts

Pounds and Ounces

When it comes to measuring weight, two common units used are pounds and ounces. Pounds are a larger unit, often used for weighing heavier items, while ounces are smaller for more precise measurements. It’s helpful to know that 1 pound equals exactly 16 ounces.
This means if you have a weight in ounces, you can convert it to pounds to better understand the weight in larger terms.
This is particularly useful in situations like cooking, shipping, or using sporting equipment, where understanding measurements in a larger scale makes the process more manageable.

• Pounds are used for heavier weights.
• Ounces offer more precise measurements.
• 1 pound = 16 ounces.

You’ll often need to convert ounces to pounds, especially when you want to visualize the heaviness of an item.

Division and Remainder

Division and remainder calculations are crucial when converting smaller units like ounces to larger ones like pounds. The process involves dividing the total ounces by 16 (since a pound is 16 ounces). This gives two important quantities: the quotient and the remainder.
The quotient tells you how many full pounds you have, while the remainder tells you how many ounces are left over.
In mathematical terms, when you divide 72 ounces by 16, you get a quotient of 4 and a remainder of 8.

• Division helps determine full pounds.
• Remainder calculates leftover ounces.
• Quotient and remainder are key results.

Using division and remainder helps in breaking down quantities into understandable parts.

Understanding Units

Understanding units is all about grasping the different types of measurements and how they relate to each other. It is essential for interpreting quantities correctly, especially when dealing with conversions.
Here, the goal is to seamlessly move between ounces and pounds. Understanding this conversion is crucial because it helps in making comparisons and adjustments accurately.
Knowing that 16 ounces make up 1 pound simplifies many tasks, as it allows for an easier interpretation of weight measurements.

• Interpreting quantities requires unit knowledge.
• Converting between units is a practical skill.
• 16 ounces = 1 pound: a key conversion fact.

Mastering unit understanding allows for efficient problem-solving in everyday tasks.

Math Problem Solving

Solving math problems is all about breaking down the question into manageable steps to find a straightforward solution. Here, converting 72 ounces into pounds requires us to set up the problem by understanding units, applying division for pounds, and determining the remainder for leftover ounces.
By following these steps, you can confidently tackle similar problems, knowing that a structured approach makes even tricky conversions simple.
Problem-solving is an invaluable skill, not just in math, but in dealing with real-world scenarios that require logical thinking and application.

• Break down the problem into simple steps.
• Use division to find the direct answer.
• Organize the solution clearly and logically.

Effective math problem-solving is achieved by thinking systematically and applying basic concepts.