Division
Division is an essential concept in mathematics. It's a way to split a number into equal parts.
Definitions
Kevin, Aisha, and Louis have 6 apples. They want to share these apples equally.
To divide \(\textcolor{olive}{6}\) apples among \(\textcolor{colordef}{3}\) friends:
When we say \(\textcolor{olive}{6}\) apples divided among \(\textcolor{colordef}{3}\) friends, we can write it as \(\textcolor{olive}{6}\div \textcolor{colordef}{3}=\textcolor{colorprop}{2}\). The symbol \(\div\) means "divided by."
When we say \(\textcolor{olive}{6}\) apples divided among \(\textcolor{colordef}{3}\) friends, we can write it as \(\textcolor{olive}{6}\div \textcolor{colordef}{3}=\textcolor{colorprop}{2}\). The symbol \(\div\) means "divided by."
Definition Division
Division is the process of splitting a number into equal parts or groups. The \(\div\) symbol indicates division.Division can be represented in several ways:
- Numbers: $$\textcolor{olive}{6}\div \textcolor{colordef}{3}=\textcolor{colorprop}{2}$$
- Words:
six divided by three equals two - Items:
- Part-whole model:
Representations of Division
Method Number of items in each group
When you know the \(\textcolor{olive}{\text{total}}\) and the \(\textcolor{colordef}{\text{number of groups}}\), division finds the \(\textcolor{colorprop}{\text{number of items in each group}}\).$$\begin{aligned}[t]\textcolor{olive}{\text{total}} \div \textcolor{colordef}{\text{number of groups}} &= \textcolor{colorprop}{\text{number of items in each group}}\end{aligned}$$For example, we have \(\textcolor{olive}{12}\) apples, equally shared among \(\textcolor{colordef}{4}\) friends.
Method Number of groups
If you know the \(\textcolor{olive}{\text{total}}\) and the \(\textcolor{colorprop}{\text{number of items in each group}}\), division finds the \(\textcolor{colordef}{\text{number of groups}}\).$$\begin{aligned}[t]\textcolor{olive}{\text{total}} \div \textcolor{colorprop}{\text{number of items in each group}} &= \textcolor{colordef}{\text{number of groups}}\end{aligned}$$For example, we have \(\textcolor{olive}{15}\) apples and pack them into boxes, each holding \(\textcolor{colorprop}{5}\) apples.