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# Understanding remainders

Use arrays and practice problems to understand remainders.

## Some division problems work out nicely.

## Other division problems don't work out nicely.

Oh no! We can't split ${25}$ circles into perfect groups of ${7}$ . We have some circles left over.

## Key idea: We can use a *remainder* to describe what *remains* after dividing.

## Practice problems

## Want to join the conversation?

- When you have a remainder, it can't be bigger than the other numbers right?(226 votes)
- The remainder cannot be greater than the divisor.(64 votes)

- I got all right just from being with my amazing math teacher(115 votes)
- what is meaning of remainders(43 votes)
- it is the left over for example if you do 3 divied 4 it will be 1 with a remainder of 1 left over it remainder(66 votes)

- why are there remainders(35 votes)
- Because you can't always split quantities into equal sized groups. For example, you have 7 cookies to split between yourself and 2 friends. And, each person must get the same number of cookies. With 3 people, each person gets 2 cookies and you have 1 extra cookie. That's the remainder.(41 votes)

- Can you guys update it to let you submit when your ready? I was on the first problem and while I was writing it down and everything, I looked up and all my strikes were gone and i was out. I am one of those people who are slow at doing math sometimes.(49 votes)
- No(just kidding)(7 votes)

- never gonna give u up

never gonna let you down(41 votes)- stop Ric rolling!(16 votes)

- at8:08how long can a division equation be(41 votes)
- as long as infinity(15 votes)

- Bruh remainders are awful. I wish we could keep doing decimals..(45 votes)
- What is a cats favorite color?

PURPLE!

1oo votes and I will do a even better joke.(41 votes) - This so amazing now my teach is going to like what 🏹 i amid well for math thx khan academy(29 votes)