Models of Multiplication

In class we learned that there was Three Models of Multiplication. You hve Rectangular Array, Tree Diagram, Partial Products. All three of these ways are very useful and easy to understand; here are some examples of each to give you an understanding of all of them.

Rectangular Array 4x6



Tree Diagram



23x57

rewrite it like this to make it easier to visualizes it

23

                                                                             x 57

now you write each number out thats in different place values

20 + 3

50 +7

now you can use cross multiplication

7 x 3=         21

20 x 7=     140

50 x 3=     150

20 x 50= 1000

now add all your end solutions

1311

and that is your Partial Products.