Calculate: ${ 7923 \div 139 = 57 }$

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Introduction

Mathematical division is a fundamental operation in mathematics that involves dividing one number by another to find the quotient. In this article, we will delve into the calculation of 7923 ÷ 139, exploring the steps involved and the reasoning behind the result. We will also discuss the importance of mathematical division in various fields, including science, engineering, and finance.

The Calculation

To calculate 7923 ÷ 139, we can use long division or a calculator. However, let's break down the calculation step by step to understand the process.

Step 1: Divide the Tens Digit

We start by dividing the tens digit of 7923, which is 9, by 139. However, since 139 is greater than 9, we need to bring down the next digit, which is 2.

Step 2: Bring Down the Next Digit

Now, we have 92 to divide by 139. We can divide 92 by 139, but since 139 is greater than 92, we need to bring down the next digit, which is 3.

Step 3: Bring Down the Next Digit

Now, we have 923 to divide by 139. We can divide 923 by 139, which gives us a quotient of 66 with a remainder of 37.

Step 4: Divide the Remainder

We now have a remainder of 37 to divide by 139. We can divide 37 by 139, which gives us a quotient of 0 with a remainder of 37.

Step 5: Write the Final Answer

Since we have a remainder of 37, we can write the final answer as 57 with a remainder of 37.

The Result

The calculation of 7923 ÷ 139 gives us a result of 57 with a remainder of 37.

Importance of Mathematical Division

Mathematical division is an essential operation in various fields, including science, engineering, and finance. It is used to calculate rates, ratios, and proportions, which are critical in making informed decisions.

Science

In science, mathematical division is used to calculate rates of change, such as the rate of decay of a radioactive substance or the rate of growth of a population.

Engineering

In engineering, mathematical division is used to calculate ratios of forces, such as the ratio of the force applied to a spring to the displacement of the spring.

Finance

In finance, mathematical division is used to calculate interest rates, such as the rate of interest on a loan or the rate of return on an investment.

Conclusion

In conclusion, the calculation of 7923 ÷ 139 is a simple division problem that involves breaking down the calculation into smaller steps. The result of the calculation is 57 with a remainder of 37. Mathematical division is an essential operation in various fields, including science, engineering, and finance, and is used to calculate rates, ratios, and proportions.

Final Answer

The final answer to the calculation of 7923 ÷ 139 is 57 with a remainder of 37.

Additional Resources

For more information on mathematical division, including examples and practice problems, please see the following resources:

References

Note: The references and additional resources provided are fictional and for demonstration purposes only.

Introduction

Mathematical division is a fundamental operation in mathematics that involves dividing one number by another to find the quotient. In this article, we will answer some of the most frequently asked questions about mathematical division, including its importance, how to perform it, and common mistakes to avoid.

Q: What is mathematical division?

A: Mathematical division is a fundamental operation in mathematics that involves dividing one number by another to find the quotient. It is a process of finding the number of times one number can be divided by another.

Q: Why is mathematical division important?

A: Mathematical division is an essential operation in various fields, including science, engineering, and finance. It is used to calculate rates, ratios, and proportions, which are critical in making informed decisions.

Q: How do I perform mathematical division?

A: To perform mathematical division, you can use long division or a calculator. Long division involves breaking down the calculation into smaller steps, while a calculator can perform the calculation quickly and accurately.

Q: What are some common mistakes to avoid when performing mathematical division?

A: Some common mistakes to avoid when performing mathematical division include:

  • Not lining up the numbers correctly: Make sure to line up the numbers correctly when performing long division.
  • Not carrying over the correct number: Make sure to carry over the correct number when performing long division.
  • Not checking the answer: Make sure to check the answer to ensure it is accurate.

Q: What is the difference between mathematical division and other types of division?

A: Mathematical division is a specific type of division that involves dividing one number by another to find the quotient. Other types of division include:

  • Fractional division: Involves dividing one fraction by another.
  • Decimal division: Involves dividing one decimal number by another.
  • Percentage division: Involves dividing one number by another to find the percentage.

Q: How do I calculate the quotient and remainder when performing mathematical division?

A: To calculate the quotient and remainder when performing mathematical division, you can use the following steps:

  • Divide the dividend by the divisor: Divide the dividend by the divisor to find the quotient.
  • Multiply the quotient by the divisor: Multiply the quotient by the divisor to find the product.
  • Subtract the product from the dividend: Subtract the product from the dividend to find the remainder.

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

A: Some real-world applications of mathematical division include:

  • Science: Mathematical division is used to calculate rates of change, such as the rate of decay of a radioactive substance or the rate of growth of a population.
  • Engineering: Mathematical division is used to calculate ratios of forces, such as the ratio of the force applied to a spring to the displacement of the spring.
  • Finance: Mathematical division is used to calculate interest rates, such as the rate of interest on a loan or the rate of return on an investment.

Q: How can I practice mathematical division?

A: You can practice mathematical division by:

  • Using online resources: There are many online resources available that provide practice problems and exercises for mathematical division.
  • Using a calculator: You can use a calculator to perform mathematical division and check your answers.
  • Working with a tutor: You can work with a tutor to practice mathematical division and get feedback on your work.

Conclusion

In conclusion, mathematical division is a fundamental operation in mathematics that involves dividing one number by another to find the quotient. It is an essential operation in various fields, including science, engineering, and finance. By understanding how to perform mathematical division and avoiding common mistakes, you can become proficient in this operation and apply it to real-world problems.

Additional Resources

For more information on mathematical division, including examples and practice problems, please see the following resources:

References