What is 500 divided by 20?
The Correct Answer and Explanation is:
To calculate (500) divided by (20), you can perform the division directly:
[
500 \div 20 = 25
]
Explanation:
The division of numbers is one of the four basic arithmetic operations, alongside addition, subtraction, and multiplication. Division is fundamentally the process of determining how many times one number (the divisor) can be contained within another number (the dividend). In this case, we are determining how many groups of (20) can be formed from (500).
- Understanding the Dividend and Divisor: In the equation (500 \div 20), (500) is the dividend, which is the number being divided. The (20) is the divisor, which is the number by which the dividend is being divided. The result of this operation is called the quotient.
- Breaking Down the Calculation: To make the division easier, you can simplify it. Since both (500) and (20) can be divided by (10), you can simplify the calculation:
- First, divide both numbers by (10):
- (500 \div 10 = 50)
- (20 \div 10 = 2)
- Now, you have a simpler problem to solve: (50 \div 2).
- Performing this division gives (25).
- Verifying the Result: To ensure the result is correct, you can multiply the quotient by the divisor:
- (25 \times 20 = 500).
This confirms that (25) is indeed the correct quotient since multiplying back returns us to the original dividend of (500).
- Context of Division: Division is used in various real-world scenarios, such as splitting quantities, calculating averages, or determining rates. In this case, if you had (500) items and wanted to distribute them into groups of (20), you would be able to create (25) full groups.
In conclusion, (500 \div 20 = 25), and this operation illustrates the fundamental concept of division as finding how many times one quantity fits into another.