3. The Commutative Property
–The word commutative comes from the
verb “to commute.”
• Commuting means changing,
replacing, or exchanging
–People who travel back and forth to
work are called commuters.
• Traffic Reports given during rush
hours are also called commuter
reports.
4. Here are two families of commuters.
Commuter
A
Commuter
B
Commuter
A
Commuter
B
Commuter A & Commuter B
changed lanes.
Remember… commute
means to change.
6. Think of this hypothetical situation:
Every day you ride your bike to school.
The distance from home to school is 2 miles.
The distance from school to home is also 2 miles.
How do we know this?
7. Home School
The distance from Home to School is the
same as the distance from school to home.
Home + School = School + Home
H + S = S + H
A + B = B + A
10. The Associative Property
–The word associative comes from the
verb “to associate.”
• Associate means connected, joined,
or related
–People who work together are called
associates.
• They are joined together by business,
and they do talk to one another.
11. Let’s look at another example:
Three people work together.
Associate B needs to call Associates A and
C to share some news.
Does it matter who he calls first?
12. A C
B
Here are three associates.
B calls A first He calls C
last
If he called C first,
then called A, would
it have made a
difference?
NO!
13. (The Role of Parentheses)
• In math, we use parentheses to show groups.
• In the order of operations, the numbers and
operations in parentheses are done first.
(PEMDAS)
So….
14. The Associative Property
(A + B) + C = A + (B + C)
A C
B
A C
B
THEN THEN
The parentheses identify which two associates talked first.
