How many times does 25 go into 200
The Correct Answer and Explanation is :
To determine how many times 25 goes into 200, we can use simple division:
[
200 \div 25 = 8
]
This means that 25 goes into 200 exactly 8 times.
Explanation:
- Division Process: When we divide 200 by 25, we are essentially asking how many groups of 25 can be made from 200. The division can be thought of as “how many times does 25 fit into 200?”
- Understanding Division: Division is the process of splitting a number (the dividend, in this case, 200) into equal parts, with each part representing the divisor (25). The result of the division is the quotient, which tells us how many such parts (or groups) fit into the original number.
- Long Division Method: To perform long division of 200 by 25:
- First, divide 200 by 25. 25 goes into 20 zero times, so you look at 200.
- 25 goes into 200 a total of 8 times, because 25 multiplied by 8 equals 200 (25 × 8 = 200).
- Therefore, the quotient is 8, and no remainder is left.
- Multiplication Check: To confirm the result, we can multiply 25 by 8. If the product is 200, then our division is correct:
[
25 \times 8 = 200
]
Since the multiplication gives us the original number, we know that the division was done correctly. - Real-World Application: This type of division is useful in situations like dividing items into equal groups. For example, if you have 200 candies and want to distribute them in bags of 25, you would need 8 bags to distribute all the candies.
Thus, the answer is 8 times, and this process is a standard method for solving division problems where both numbers are divisible by a common factor, in this case, 25.