An Art Teacher Has 8 Pounds Of Modeling Clay. She Must Divide It Equally Among 18 Students. How Many Pounds Will Each Student Receive? A. 49 4 9 B. 214 2 1 4 C. 10 10 D. 144 144

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Dividing Modeling Clay Among Students: A Math Problem

In this problem, we are presented with a scenario where an art teacher has 8 pounds of modeling clay that needs to be divided equally among 18 students. The task is to determine how many pounds each student will receive. This problem requires the application of division, a fundamental concept in mathematics.

Understanding the Problem

To solve this problem, we need to understand the concept of division. Division is the process of sharing a certain quantity into equal parts or groups. In this case, we have 8 pounds of modeling clay that needs to be divided among 18 students. We need to find out how many pounds each student will receive.

Solving the Problem

To solve this problem, we can use the division operation. We will divide the total amount of modeling clay (8 pounds) by the number of students (18). This can be represented as:

8 ÷ 18 = ?

To solve this equation, we can use long division or a calculator. Using long division, we get:

8 ÷ 18 = 0.44

However, this is not the only way to represent the answer. We can also express the answer as a fraction:

8 ÷ 18 = 4/9

Evaluating the Options

Now that we have the answer, let's evaluate the options:

A. 49 B. 214 C. 10 D. 144

None of these options match our answer. However, we can see that option C is close, but it is not the correct answer.

Conclusion

In conclusion, to divide 8 pounds of modeling clay equally among 18 students, each student will receive 4/9 pounds of modeling clay. This problem requires the application of division, a fundamental concept in mathematics.

Why is this Problem Important?

This problem is important because it requires the application of division, a fundamental concept in mathematics. Division is used in a variety of real-world scenarios, such as sharing food, dividing a room into equal parts, and calculating the cost of items. By solving this problem, we are developing our problem-solving skills and our understanding of mathematical concepts.

Real-World Applications

This problem has real-world applications in various fields, such as:

  • Art and Design: In art and design, division is used to create symmetrical and balanced compositions. By dividing a canvas or a piece of paper into equal parts, artists can create harmonious and aesthetically pleasing designs.
  • Cooking: In cooking, division is used to measure ingredients and portion out food. By dividing a recipe into equal parts, cooks can ensure that each serving is the same size and that the ingredients are used efficiently.
  • Business: In business, division is used to calculate costs, profits, and losses. By dividing a company's revenue and expenses into equal parts, business owners can make informed decisions about their finances and operations.

Tips and Tricks

Here are some tips and tricks to help you solve this problem:

  • Use a calculator: If you are having trouble solving the problem using long division, you can use a calculator to find the answer.
  • Express the answer as a fraction: Instead of expressing the answer as a decimal, try expressing it as a fraction. This can make it easier to understand and work with.
  • Check your work: Before moving on to the next step, make sure to check your work to ensure that you have the correct answer.

Conclusion

In conclusion, to divide 8 pounds of modeling clay equally among 18 students, each student will receive 4/9 pounds of modeling clay. This problem requires the application of division, a fundamental concept in mathematics. By solving this problem, we are developing our problem-solving skills and our understanding of mathematical concepts.
Q&A: Dividing Modeling Clay Among Students

In our previous article, we solved the problem of dividing 8 pounds of modeling clay equally among 18 students. In this article, we will answer some frequently asked questions related to this problem.

Q: What is the formula for dividing a quantity among a group of people?

A: The formula for dividing a quantity among a group of people is:

Quantity ÷ Number of people = Amount per person

In this case, the quantity is 8 pounds of modeling clay, and the number of people is 18 students.

Q: How do I divide a quantity among a group of people if I don't have a calculator?

A: If you don't have a calculator, you can use long division to divide the quantity among the group of people. Long division is a method of dividing a number by another number to find the quotient and remainder.

Q: What is the difference between a quotient and a remainder?

A: A quotient is the result of dividing a number by another number, while a remainder is the amount left over after dividing a number by another number.

Q: How do I express the answer as a fraction?

A: To express the answer as a fraction, you can use the following formula:

Quantity ÷ Number of people = Fraction

In this case, the quantity is 8 pounds of modeling clay, and the number of people is 18 students. The fraction is 4/9.

Q: Why is it important to check my work when dividing a quantity among a group of people?

A: It is essential to check your work when dividing a quantity among a group of people to ensure that you have the correct answer. This can help you avoid errors and ensure that the quantity is divided correctly.

Q: Can I use a calculator to check my work when dividing a quantity among a group of people?

A: Yes, you can use a calculator to check your work when dividing a quantity among a group of people. This can help you verify that your answer is correct and ensure that the quantity is divided correctly.

Q: What are some real-world applications of dividing a quantity among a group of people?

A: There are many real-world applications of dividing a quantity among a group of people, including:

  • Art and Design: In art and design, division is used to create symmetrical and balanced compositions. By dividing a canvas or a piece of paper into equal parts, artists can create harmonious and aesthetically pleasing designs.
  • Cooking: In cooking, division is used to measure ingredients and portion out food. By dividing a recipe into equal parts, cooks can ensure that each serving is the same size and that the ingredients are used efficiently.
  • Business: In business, division is used to calculate costs, profits, and losses. By dividing a company's revenue and expenses into equal parts, business owners can make informed decisions about their finances and operations.

Conclusion

In conclusion, dividing a quantity among a group of people is an essential skill that has many real-world applications. By understanding the formula for dividing a quantity among a group of people and using long division or a calculator, you can ensure that the quantity is divided correctly. Remember to check your work and use a calculator to verify your answer.