Circle the Divisor in the Following Division Problem

Oct 13, 2025 by vinooalluri.com 111 views

Understanding the Division Problem

In mathematics, division is a fundamental operation that involves sharing a certain quantity into equal parts or groups. It is denoted by the symbol ÷ and is used to find the quotient of two numbers. When we divide a number by another number, we are essentially finding how many times the divisor fits into the dividend.

What is the Divisor?

The divisor is the number by which we are dividing the dividend. In other words, it is the number that we are using to share the dividend into equal parts. For example, in the division problem 12 ÷ 3, the divisor is 3.

Circle the Divisor in the Following Division Problem

Now, let's look at the division problem given to us: $${ 7 \longdiv 76 }$$. To circle the divisor, we need to identify the number by which we are dividing the dividend 76.

Step 1: Identify the Dividend and the Quotient

The dividend is the number being divided, which is 76. The quotient is the result of the division operation, which we are trying to find.

Step 2: Identify the Divisor

The divisor is the number by which we are dividing the dividend. In this case, we need to find the number that fits into 76.

Step 3: Circle the Divisor

After analyzing the division problem, we can see that the divisor is actually 7. This is because 7 is the number that fits into 76.

Conclusion

In conclusion, the divisor in the division problem $${ 7 \longdiv 76 }$$ is 7. We can circle the divisor to identify it clearly.

Why is it Important to Identify the Divisor?

Identifying the divisor is crucial in division problems because it helps us understand the relationship between the dividend and the quotient. By knowing the divisor, we can determine how many times it fits into the dividend, which is essential in solving division problems.

Real-World Applications of Division

Division is used in various real-world applications, such as:

Cooking: When we are cooking, we often need to divide ingredients into equal parts. For example, if we are making a cake that serves 8 people, we need to divide the ingredients into 8 equal parts.
Shopping: When we are shopping, we often need to divide the cost of an item by the number of people who will be using it. For example, if we are buying a toy that costs $20 and we want to divide the cost among 4 people, we need to divide $20 by 4.
Science: In science, division is used to calculate the concentration of a solution. For example, if we have a solution that contains 20 grams of sugar per liter of water, we need to divide the amount of sugar by the volume of the solution to find the concentration.

Tips for Solving Division Problems

Here are some tips for solving division problems:

Understand the concept of division: Before solving a division problem, make sure you understand the concept of division and how it works.
Identify the dividend and the divisor: Identify the dividend and the divisor in the division problem. The dividend is the number being divided, and the divisor is the number by which we are dividing the dividend.
Circle the divisor: Circle the divisor to identify it clearly.
Use a calculator or a division chart: If you are having trouble solving a division problem, use a calculator or a division chart to help you.

Conclusion

Q&A: Division Problems

Q: What is the divisor in a division problem?

A: The divisor is the number by which we are dividing the dividend. In other words, it is the number that we are using to share the dividend into equal parts.

Q: How do I identify the divisor in a division problem?

A: To identify the divisor, you need to look at the division problem and find the number that is being used to divide the dividend. In the division problem $${ 7 \longdiv 76 }$$, the divisor is 7.

Q: Why is it important to identify the divisor?

A: Identifying the divisor is crucial in division problems because it helps us understand the relationship between the dividend and the quotient. By knowing the divisor, we can determine how many times it fits into the dividend, which is essential in solving division problems.

Q: What are some real-world applications of division?

A: Division is used in various real-world applications, such as:

Cooking: When we are cooking, we often need to divide ingredients into equal parts. For example, if we are making a cake that serves 8 people, we need to divide the ingredients into 8 equal parts.
Shopping: When we are shopping, we often need to divide the cost of an item by the number of people who will be using it. For example, if we are buying a toy that costs $20 and we want to divide the cost among 4 people, we need to divide $20 by 4.
Science: In science, division is used to calculate the concentration of a solution. For example, if we have a solution that contains 20 grams of sugar per liter of water, we need to divide the amount of sugar by the volume of the solution to find the concentration.

Q: What are some tips for solving division problems?

A: Here are some tips for solving division problems:

Understand the concept of division: Before solving a division problem, make sure you understand the concept of division and how it works.
Identify the dividend and the divisor: Identify the dividend and the divisor in the division problem. The dividend is the number being divided, and the divisor is the number by which we are dividing the dividend.
Circle the divisor: Circle the divisor to identify it clearly.
Use a calculator or a division chart: If you are having trouble solving a division problem, use a calculator or a division chart to help you.

Q: What is the difference between a dividend and a divisor?

A: The dividend is the number being divided, and the divisor is the number by which we are dividing the dividend. For example, in the division problem $${ 12 \longdiv 3 }$$, the dividend is 12 and the divisor is 3.

Q: How do I know if a number is a divisor or a dividend?

A: To determine if a number is a divisor or a dividend, you need to look at the division problem and identify the number that is being used to divide the other number. If the number is being divided, it is the dividend. If the number is being used to divide, it is the divisor.

Q: Can I use a calculator to solve division problems?

A: Yes, you can use a calculator to solve division problems. In fact, calculators can be very helpful when solving division problems, especially if you are having trouble with the math.

Q: What are some common mistakes to avoid when solving division problems?

A: Here are some common mistakes to avoid when solving division problems:

Not understanding the concept of division: Make sure you understand the concept of division and how it works before solving a division problem.
Not identifying the dividend and the divisor: Identify the dividend and the divisor in the division problem to ensure that you are solving the correct problem.
Not circling the divisor: Circle the divisor to identify it clearly and avoid confusion.
Not using a calculator or a division chart: If you are having trouble solving a division problem, use a calculator or a division chart to help you.

Conclusion

In conclusion, the divisor in the division problem $${ 7 \longdiv 76 }$$ is 7. We can circle the divisor to identify it clearly. Identifying the divisor is crucial in division problems because it helps us understand the relationship between the dividend and the quotient. By knowing the divisor, we can determine how many times it fits into the dividend, which is essential in solving division problems.