If you have \(7\) cookies and you want to share them equally between \(2\) friends, how many cookies will be left over?
Each friend gets \(3\) cookies (a total of \(6\)), and there will be \(1\) cookie left over. This leftover part is the remainder.
What is a "remainder" in division?
A remainder is the amount "left over" after performing a division when the dividend is not a multiple of the divisor.
Can the remainder ever be equal to or larger than the divisor?
No. If the remainder is larger than the divisor, it means you can still make at least one more full group. The remainder must always be smaller than the divisor.
If you divide a number by \(5\), what are the possible remainders you can have?
The possible remainders are \(0\), \(1\), \(2\), \(3\), and \(4\). A remainder of \(0\) means the number divides perfectly.
What does a remainder of \(0\) mean?
A remainder of \(0\) means the dividend is perfectly divisible by the divisor. There is nothing left over. For example, \(10 \div 2 = 5\) with a remainder of \(0\).
You have \(13\) toy cars to put into boxes. Each box holds \(4\) cars. How many cars will be left out of a box?
You can fill \(3\) boxes (\(3 \times 4 = 12\) cars). There will be \(1\) car left over. The remainder is \(1\).
In the problem \(16 \div 3\), the answer is \(5\) with some left over. What is the leftover amount called?
It's called the **remainder**.
True or False: Every division problem has a remainder.
False. Only problems where the dividend is not an exact multiple of the divisor have a remainder greater than \(0\).
