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What does Associative property

 Sep 10, 2014

Best Answer 

 #1
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The Associative Property, also called the "grouping property," works for addition and multiplication expressions. It states that the order you group terms in an equation does not affect the answer. For example:

 

 

For addition:

$${\mathtt{a}}{\mathtt{\,\small\textbf+\,}}\left({\mathtt{b}}{\mathtt{\,\small\textbf+\,}}{\mathtt{c}}\right) = \left({\mathtt{a}}{\mathtt{\,\small\textbf+\,}}{\mathtt{b}}\right){\mathtt{\,\small\textbf+\,}}{\mathtt{c}}$$

Or:   $${\mathtt{2}}{\mathtt{\,\small\textbf+\,}}\left({\mathtt{3}}{\mathtt{\,\small\textbf+\,}}{\mathtt{4}}\right) = \left({\mathtt{2}}{\mathtt{\,\small\textbf+\,}}{\mathtt{3}}\right){\mathtt{\,\small\textbf+\,}}{\mathtt{4}}$$

 

 

In multiplication:

$${a}{\left({\mathtt{bc}}\right)} = {\mathtt{ab}}{\mathtt{\,\times\,}}{\mathtt{c}}$$

Or:  $${\mathtt{2}}{\mathtt{\,\times\,}}\left({\mathtt{3}}{\mathtt{\,\times\,}}{\mathtt{4}}\right) = \left({\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{3}}\right){\mathtt{\,\times\,}}{\mathtt{4}}$$

 Sep 11, 2014
 #1
avatar+5478 
+23
Best Answer

The Associative Property, also called the "grouping property," works for addition and multiplication expressions. It states that the order you group terms in an equation does not affect the answer. For example:

 

 

For addition:

$${\mathtt{a}}{\mathtt{\,\small\textbf+\,}}\left({\mathtt{b}}{\mathtt{\,\small\textbf+\,}}{\mathtt{c}}\right) = \left({\mathtt{a}}{\mathtt{\,\small\textbf+\,}}{\mathtt{b}}\right){\mathtt{\,\small\textbf+\,}}{\mathtt{c}}$$

Or:   $${\mathtt{2}}{\mathtt{\,\small\textbf+\,}}\left({\mathtt{3}}{\mathtt{\,\small\textbf+\,}}{\mathtt{4}}\right) = \left({\mathtt{2}}{\mathtt{\,\small\textbf+\,}}{\mathtt{3}}\right){\mathtt{\,\small\textbf+\,}}{\mathtt{4}}$$

 

 

In multiplication:

$${a}{\left({\mathtt{bc}}\right)} = {\mathtt{ab}}{\mathtt{\,\times\,}}{\mathtt{c}}$$

Or:  $${\mathtt{2}}{\mathtt{\,\times\,}}\left({\mathtt{3}}{\mathtt{\,\times\,}}{\mathtt{4}}\right) = \left({\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{3}}\right){\mathtt{\,\times\,}}{\mathtt{4}}$$

kitty<3 Sep 11, 2014

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