Rewrite The Expression To Make It Correct.${ 2698 \div 71 }$
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Understanding the Problem
When solving division problems, it's essential to follow the correct order of operations. In this case, we have a simple division problem: 2698 ÷ 71. However, the expression is incomplete, and we need to rewrite it to make it correct.
The Importance of Proper Notation
Proper notation is crucial in mathematics, especially when working with division problems. The correct notation for division is a forward slash (/) or a horizontal bar (÷). In this case, we will use the forward slash (/) to represent the division operation.
Rewriting the Expression
To rewrite the expression, we need to ensure that the dividend (2698) is divided by the divisor (71). The correct expression should be:
2698 ÷ 71
Solving the Division Problem
Now that we have the correct expression, let's solve the division problem. To do this, we need to divide 2698 by 71.
Step 1: Divide the Numbers
To divide 2698 by 71, we need to perform the following calculation:
2698 ÷ 71 = ?
Step 2: Perform the Calculation
To perform the calculation, we can use long division or a calculator. Let's use a calculator to find the quotient.
2698 ÷ 71 = 38.0
Step 3: Check the Result
To ensure that the result is correct, we can multiply the quotient by the divisor and check if the product is equal to the dividend.
38.0 × 71 = 2698
Conclusion
In conclusion, rewriting the expression to make it correct involves ensuring that the dividend is divided by the divisor. In this case, the correct expression is 2698 ÷ 71. By following the correct order of operations and performing the calculation, we can find the quotient and check the result.
Tips and Tricks
When working with division problems, it's essential to follow the correct order of operations and use proper notation. Here are some tips and tricks to help you solve division problems:
- Use a calculator to perform calculations quickly and accurately.
- Check the result by multiplying the quotient by the divisor.
- Use long division to perform calculations manually.
- Practice, practice, practice! The more you practice, the more comfortable you will become with division problems.
Common Mistakes
When working with division problems, it's easy to make mistakes. Here are some common mistakes to avoid:
- Forgetting to divide the numbers correctly.
- Using the wrong notation (e.g., using a minus sign instead of a forward slash).
- Not checking the result.
- Not practicing enough.
Real-World Applications
Division problems have many real-world applications. Here are a few examples:
- Cooking: When cooking, you may need to divide ingredients by a certain number to get the right amount.
- Shopping: When shopping, you may need to divide the cost of an item by the number of people to get the cost per person.
- Science: In science, division problems are used to calculate the concentration of a solution or the volume of a container.
Conclusion
In conclusion, rewriting the expression to make it correct involves ensuring that the dividend is divided by the divisor. By following the correct order of operations and performing the calculation, we can find the quotient and check the result. With practice and patience, you can become proficient in solving division problems and apply them to real-world situations.
Final Answer
The final answer is: 38.0
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Q: What is the correct notation for division?
A: The correct notation for division is a forward slash (/) or a horizontal bar (÷). In this case, we will use the forward slash (/) to represent the division operation.
Q: How do I solve a division problem?
A: To solve a division problem, you need to divide the dividend by the divisor. You can use long division or a calculator to perform the calculation.
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. In the expression 2698 ÷ 71, 2698 is the dividend and 71 is the divisor.
Q: How do I check the result of a division problem?
A: To check the result, you can multiply the quotient by the divisor and check if the product is equal to the dividend. For example, if the quotient is 38.0 and the divisor is 71, you can multiply 38.0 by 71 to get 2698.
Q: What are some common mistakes to avoid when solving division problems?
A: Some common mistakes to avoid when solving division problems include:
- Forgetting to divide the numbers correctly.
- Using the wrong notation (e.g., using a minus sign instead of a forward slash).
- Not checking the result.
- Not practicing enough.
Q: How do I apply division problems to real-world situations?
A: Division problems have many real-world applications. Here are a few examples:
- Cooking: When cooking, you may need to divide ingredients by a certain number to get the right amount.
- Shopping: When shopping, you may need to divide the cost of an item by the number of people to get the cost per person.
- Science: In science, division problems are used to calculate the concentration of a solution or the volume of a container.
Q: What are some tips and tricks for solving division problems?
A: Here are some tips and tricks for solving division problems:
- Use a calculator to perform calculations quickly and accurately.
- Check the result by multiplying the quotient by the divisor.
- Use long division to perform calculations manually.
- Practice, practice, practice! The more you practice, the more comfortable you will become with division problems.
Q: How do I know if I have solved a division problem correctly?
A: To know if you have solved a division problem correctly, you can check the result by multiplying the quotient by the divisor. If the product is equal to the dividend, then you have solved the problem correctly.
Q: What are some resources for learning more about division problems?
A: Here are some resources for learning more about division problems:
- Online tutorials and videos
- Math textbooks and workbooks
- Online math communities and forums
- Math apps and software
Conclusion
In conclusion, division problems are an essential part of mathematics, and understanding how to solve them is crucial for success in many areas of life. By following the correct order of operations and using proper notation, you can solve division problems with ease. With practice and patience, you can become proficient in solving division problems and apply them to real-world situations.
Final Answer
The final answer is: 38.0