Calculate The Result Of $16023 \div 25$.A. 640 R 24 B. 642 R 23 C. 640 R 23 D. 639 R 24

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Dividing Large Numbers: A Step-by-Step Guide to Calculating the Result of 16023 ├╖ 25

When it comes to dividing large numbers, it's essential to understand the concept of division and how to perform it accurately. In this article, we will delve into the world of mathematics and explore the process of dividing 16023 by 25. We will also examine the different options provided and determine the correct result.

Understanding Division

Division is a mathematical operation that involves sharing a certain number of items into equal groups or shares. It's the inverse operation of multiplication, where we find the number of groups or shares that can be made from a given number of items. In the case of 16023 ├╖ 25, we are essentially asking how many groups of 25 can be made from 16023.

Performing Long Division

To calculate the result of 16023 ├╖ 25, we can use the long division method. This method involves dividing the dividend (16023) by the divisor (25) and finding the quotient (result) and remainder.

Here's a step-by-step guide to performing long division:

  1. Write the dividend and divisor: Write the dividend (16023) on top of a line, and the divisor (25) below it.
  2. Divide the first digit: Divide the first digit of the dividend (1) by the divisor (25). Since 1 is less than 25, we can't divide it evenly. So, we write 0 on top of the line.
  3. Bring down the next digit: Bring down the next digit of the dividend (6). Now, we have 16.
  4. Divide the next digit: Divide 16 by 25. Since 16 is less than 25, we can't divide it evenly. So, we write 0 on top of the line.
  5. Bring down the next digit: Bring down the next digit of the dividend (0). Now, we have 160.
  6. Divide the next digit: Divide 160 by 25. Since 160 is greater than 25, we can divide it evenly. So, we write 6 on top of the line.
  7. Multiply and subtract: Multiply 25 by 6 (which is 150) and subtract it from 160. This leaves us with 10.
  8. Bring down the next digit: Bring down the next digit of the dividend (2). Now, we have 102.
  9. Divide the next digit: Divide 102 by 25. Since 102 is greater than 25, we can divide it evenly. So, we write 4 on top of the line.
  10. Multiply and subtract: Multiply 25 by 4 (which is 100) and subtract it from 102. This leaves us with 2.
  11. Bring down the next digit: Bring down the next digit of the dividend (3). Now, we have 23.
  12. Divide the next digit: Divide 23 by 25. Since 23 is less than 25, we can't divide it evenly. So, we write 0 on top of the line.
  13. Multiply and subtract: Multiply 25 by 0 (which is 0) and subtract it from 23. This leaves us with 23.

Calculating the Result

Now that we have performed the long division, we can calculate the result of 16023 ├╖ 25.

The quotient (result) is 640, and the remainder is 23.

Examining the Options

Let's examine the options provided:

A. 640 r 24 B. 642 r 23 C. 640 r 23 D. 639 r 24

Based on our calculation, the correct result is:

C. 640 r 23

This option matches our calculation, where the quotient is 640 and the remainder is 23.

Conclusion

In conclusion, dividing large numbers requires a clear understanding of the concept of division and the long division method. By following the step-by-step guide provided, we can accurately calculate the result of 16023 ├╖ 25. The correct result is 640 r 23, which matches option C.
Frequently Asked Questions: Dividing Large Numbers

In our previous article, we explored the concept of division and how to perform it accurately using the long division method. We also calculated the result of 16023 ├╖ 25 and determined the correct answer. In this article, we will address some frequently asked questions related to dividing large numbers.

Q: What is the difference between division and multiplication?

A: Division and multiplication are inverse operations. Division involves sharing a certain number of items into equal groups or shares, while multiplication involves combining a certain number of groups or shares to get a total amount.

Q: How do I know when to use long division?

A: You should use long division when you need to divide a large number by a smaller number. Long division is a step-by-step process that helps you find the quotient (result) and remainder.

Q: What is the quotient and remainder in division?

A: The quotient is the result of the division, which is the number of groups or shares that can be made from the dividend. The remainder is the amount left over after dividing the dividend by the divisor.

Q: How do I perform long division with decimals?

A: To perform long division with decimals, you need to follow the same steps as regular long division, but you also need to consider the decimal point. When you bring down the next digit, you need to add a decimal point to the quotient.

Q: Can I use a calculator to divide large numbers?

A: Yes, you can use a calculator to divide large numbers. However, it's essential to understand the concept of division and how to perform it accurately using the long division method.

Q: What are some common mistakes to avoid when dividing large numbers?

A: Some common mistakes to avoid when dividing large numbers include:

  • Not lining up the digits correctly
  • Not bringing down the next digit
  • Not multiplying and subtracting correctly
  • Not considering the decimal point

Q: How do I check my work when dividing large numbers?

A: To check your work, you can use the following steps:

  • Multiply the quotient by the divisor and add the remainder
  • Check if the result is equal to the dividend
  • If the result is not equal to the dividend, recheck your work and make any necessary corrections

Q: Can I use a shortcut to divide large numbers?

A: Yes, you can use a shortcut to divide large numbers, such as using a calculator or a division chart. However, it's essential to understand the concept of division and how to perform it accurately using the long division method.

Q: How do I divide fractions?

A: To divide fractions, you need to invert the second fraction (i.e., flip the numerator and denominator) and then multiply the fractions.

Q: Can I divide negative numbers?

A: Yes, you can divide negative numbers. When dividing negative numbers, you need to follow the same steps as regular division, but you also need to consider the sign of the dividend and divisor.

Conclusion

In conclusion, dividing large numbers requires a clear understanding of the concept of division and the long division method. By following the step-by-step guide provided and addressing some frequently asked questions, you can accurately calculate the result of division and avoid common mistakes.