Messmer High School
CHAPTER One -Introduction to Algebra
Addition as Commutative and Associative properties.
Consider 875 + 783
875 = 800 + 70 + 5
783 = 700 + 80 + 3
875 + 783 = 800 + 70 + 5 + 700 + 80 + 3
875 + 783 = 800 + 700 + 70 + 80 + 5 + 3
|
875 |
= |
800 |
+ |
70 |
+ |
5 |
|
783 |
= |
700 |
+ |
80 |
+ |
3 |
|
_______ |
|
_______ |
|
________ |
|
________ |
|
|
|
1500 |
|
150 |
|
8 |
1500 + 150 + 8 = 1658
Break apart the number into its composite pieces.
Add the like pieces together.
Add the given results together.
You should get the same result as if you had added using the methods you used in grade school.
This example shows how we can alter the order of addition ( commutative property ) and the groupings ( associative property ) used to carry out addition.
Think about this: How does you knowledge of arithmetic help you understand the properties of algebra?
Write about it.