What 20,000 divided by 24 ?
The Correct Answer and Explanation is:
To calculate ( 20,000 \div 24 ), you can perform long division or use a calculator. Here, we’ll proceed with long division for clarity:
- Set up the division: Divide 20,000 by 24.
- Determine how many times 24 fits into 200 (the first three digits of 20,000).
- 24 goes into 200 eight times (since ( 24 \times 8 = 192 )). Write down 8.
- Subtract 192 from 200, which gives you a remainder of 8.
- Bring down the next digit (0): Now you have 80.
- 24 goes into 80 three times (since ( 24 \times 3 = 72 )). Write down 3.
- Subtract 72 from 80, leaving a remainder of 8.
- Bring down another 0: Now you have 80 again.
- Repeat the process: 24 goes into 80 three times, giving you 72 again. Write down another 3.
- Subtract to get another remainder of 8.
- Bring down the last 0: You have 80 once more.
- Again, 24 fits into 80 three times. Write down 3.
- This gives a final remainder of 8.
At this point, you can see that the result of ( 20,000 \div 24 ) gives you 833 with a remainder of 8. This can also be expressed as:
[
20,000 \div 24 = 833 \frac{8}{24} \approx 833.33
]
Thus, the final answer is approximately 833.33.
Explanation of Division
Division is one of the four basic arithmetic operations, along with addition, subtraction, and multiplication. The operation essentially splits a number (the dividend) into equal parts, determined by another number (the divisor). In this case, 20,000 is the total amount being divided, and 24 is the number of parts we are dividing it into.
To understand why the result is a fraction (833 with a remainder), consider that not every dividend can be evenly divided by every divisor. The process of division not only provides a quotient (the whole number part of the answer) but also reveals any leftover amount, or remainder, which can be represented as a fraction of the divisor.
Understanding division is critical in many real-world applications, such as when distributing resources evenly or calculating averages. This fundamental skill is essential in various fields, from budgeting to scientific research, emphasizing the importance of mastering division.