Answer the division problem. 400 divided by 5 r _
The correct answer and explanation is:
Answer:
400 ÷ 5 = 80, remainder 0 (written as: 400 ÷ 5 = 80 R0)
Explanation (300 words):
Division is a mathematical operation where we split a number (called the dividend) into a certain number of equal parts. In the problem “400 divided by 5”, the number 400 is the dividend, and 5 is the divisor—the number we are dividing by. We are trying to find out how many groups of 5 can fit into 400 evenly.
To solve this, we ask: “How many times does 5 go into 400?” This can be written as a division problem:
400 ÷ 5 = ?
We can solve this by either long division or basic multiplication facts. Start by estimating:
5 goes into 40 exactly 8 times because 5 × 8 = 40. Add the two zeros from 400, and the answer is 80. That means 5 fits into 400 exactly 80 times with no remainder.
To check, we do multiplication:
80 × 5 = 400.
Since the multiplication gives back the original number, we know the division was correct.
Now let’s talk about remainders. A remainder is what’s left over when a number doesn’t divide evenly. In this case, since 5 divides 400 exactly (with no leftovers), the remainder is 0.
This can be written as:
400 ÷ 5 = 80 R0
or simply:
400 ÷ 5 = 80
Understanding division with and without remainders is important in math because it helps us solve real-life problems—like sharing, budgeting, and measuring. It also lays the foundation for more advanced math topics like fractions, decimals, and algebra. When a number divides evenly, it’s neat and complete. When it doesn’t, the remainder tells us how much is left over. Here, there is no remainder, so the result is clean and simple: 80.