Main content

## 4th grade

### Course: 4th grade > Unit 5

Lesson 1: Remainders# 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 start color #01a995, 25, end color #01a995 circles into perfect groups of start color #aa87ff, 7, end color #aa87ff. 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 remanier it can't be bigger than the other numbers right?(146 votes)
- the remainder cant be bigger than the divisor(11 votes)

- I got all right just from being with my amazing math teacher(62 votes)
- what is meaning of remainders(35 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(35 votes)

- Bruh remainders are awful. I wish we could keep doing decimals..(42 votes)
- you can do demicals(5 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.(37 votes)
- No(just kidding)(11 votes)

- why are there remainders(26 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.(21 votes)

- at8:08how long can a division equation be(32 votes)
- as long as infinity(8 votes)

- never gonna give u up

never gonna let you down(26 votes)- stop Ric rolling!(2 votes)

- What is a tip for the remainder game?(20 votes)
- if it an't fitting perfect in the number you divided by than it's the reminder(3 votes)

- This so amazing now my teach is going to like what 🏹 i amid well for math thx khan academy(20 votes)