Introduction to Fact Families (Multiplication & Division)
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What is a fact family in math?
A fact family is a group of three numbers that are related to each other and can be used to create a set of four related math facts (two multiplication and two division equations).
What two operations are used in a multiplication and division fact family?
Multiplication (\(\times\)) and Division (\(\div\)).
How many numbers are usually in a fact family?
There are usually \(3\) numbers in a fact family.
The numbers in the fact family \(2\), \(5\), \(10\) are called the...
...members of the family.
In a multiplication/division fact family, what role does the largest number play?
The largest number is the product in the multiplication equations and the dividend in the division equations.
What are the two smaller numbers in a fact family called in a multiplication problem?
They are called factors. For example, in \(2 \times 5 = 10\), \(2\) and \(5\) are the factors.
How are multiplication and division related within a fact family?
They are inverse operations. This means they are opposites and can "undo" each other. For example, \(10 \div 5 = 2\) undoes \(2 \times 5 = 10\).
A common visual for a fact family is a triangle with numbers.
In the family with numbers \(3\), \(5\), \(15\), which number goes at the top?
The largest number, the product/dividend, goes at the top. In this case, \(15\).$$\begin{array}{c}
\Large 15 \\[-0.1em]
\Huge \triangle \\[-0.9em]
\Large 3 \hspace{1.5em} 5
\end{array}$$
