Connecting Multiplication in Arithmetic to Algebra
Matching the Solution to the representation
Let's simplify the representation for 23 * 18
to just squares without cookies.
We an see the array below represents 18 containers of 23 cookies. We could also count the number of squares and see there are 414.
However,
How do we get the product or 414 for 23*18?
To see how it all makes sense.
Look at the different colored areas:
| Purple = 24 cookies | 8 | * | 3 | = | 2 | 4 | 2 | 4 | |||||
| Yellow = 160 cookies | 8 | * | 2 | 0 | = | 1 | 6 | 0 | 1 | 6 | 0 | ||
| Green = 30 cookies | 1 | 0 | * | 3 | = | 3 | 0 | 3 | 0 | ||||
| Blue = 200 cookies | 1 | 0 | * | 2 | 0 | = | 2 | 0 | 0 | 2 | 0 | 0 | |
| 4 | 1 | 4 | |||||||||||
---->>> Next let's generalize before moving to algebra ....