Worksheet Worksheet 3
1.
Represent \(5 \cdot 6\) using a rectangle and determine the product by determining the area.
2.
The concept of counting up the area doesn't really make sense if we start to involve negative numbers. However, we can mix the integer chips with the basic multiplication rules in order to create pictures with "signed" areas. What this means is that each block of area counts as either a positive or negative. You only need to maintain the basic rule of signs for each box. Here are some examples.
Something that's interesting about this approach is that is remains consistent even if we more complex expressions. Use the grid below to draw a signed area diagram for the the product \((3 + (-1)) \cdot (-2 + 4))\text{.}\) Calculate the result by counting the values in the grid and then by directly simplifying the expression.
