# A Shopping Problem

## Opening

# A Shopping Problem

Watch this video about how Karen and Lucy used the distributive property to solve a problem they encountered while shopping.

Here are the steps that Karen and Lucy followed to figure out the total price of the notebooks:

$\begin{array}{ccc}6\left(\text{\$}1.85\right)& =& 6(\text{\$}2-\text{\$}0.15)\\ & =& 6\left(\text{\$}2\right)-6\left(\text{\$}0.15\right)\\ & =& \text{\$}12-\text{\$}0.90\\ & =& \text{\$}11.10\end{array}$

Notice that Karen and Lucy distributed multiplication over *subtraction.*

- Can you explain why it is possible to use the distributive property in this way?

VIDEO: Girls Buying Notebooks