Remainder

Definition – Examples

In this lesson we shell learn in brief about concept of remainder, in division(when division is not exact).

It starts with explaining the idea of a remainder using the example of sharing apples.

First we work with visual examples and writing division sentences with remainders. Then we explains how to find the remainder by multiplying and subtracting.

For example: 16 apples divide among 3 people, so gives 5 apples to each and 1 apple cannot be divided evenly.

Here, 16 ÷ 3 16 cannot be divide exactly, by 3.

When we divide 16÷3, we divide this as,

so the answer of 16 ÷ 3 is “5 with a remainder of 1”, 
which means that 16 can be divided by 3, into 5 parts and 1 left over, and write as 16/3 = 5 R 1, 
the left over amount 1, is called the remainder and indicated by letter R.

Definition: 

A Remainder is an amount left over after dividing one number by another number(when the first number does not divide exactly by the other).

Example: 11 cupcakes divide among 3 people, so gives 3 cupcakes to each and 2 cupcakes cannot be divided evenly.

Example:9 bananas divide among 3 people, so gives 3 bananas to each person and no banana left over .

Example: 4 ballons divided among 5 people, means we cannot share them equally, so no one gets any ballons. All 4 left over.

Example: 22÷5, 22 cannot be divide exactly, by 5.
When we divide 22÷5, we divide this as,                 

Answer of 22 ÷ 5 is “4 with a remainder of 2”. 
22 can be divided by 5, into 4 parts and 2 left over, and write as 22 ÷ 5 = 4 R 2.
The left over amount 2, is called the remainder and indicated by letter R.

Example: 3 carrots divided among 5 people, means we cannot share them equally, so no one gets any carrots. All 3 left over.