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Properties of Addition

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Roseanne Laricchia

on 8 October 2013

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Transcript of Properties of Addition

What are the different ways of finding the sum of 12
Associative Property of Addition
When three or more numbers are added,
the sum is the same regardless of the
grouping of the addends.
Which of the addends go together?
Commutative Property of Addition
Identity Property
This means that you can add
0 to any number...
and it keeps its identity!
The number stays the same!


Multiplicative Identity
Additive Inverse
Work with your shoulder buddy to create a thinking map showing all the ways to make 12 using addition.
0 + 12 = 12 + 0


1 + 11 = 11 + 1

2 + 10 = 10 + 2
Peer
Buddy
Pal
Associate
12
0 + 12
12 + 0
1 + 11
11 + 1
2 + 10
10 + 2
3 + 9
9 + 3
4 + 8
8 + 4
5 + 7
What are the different ways of finding the sum of 12?
7 + 5
6 + 6
6 + 6
3 + 9 = 9 + 3
4 + 8 = 8 + 4
5 + 7 = 7 + 5
6 + 6 = 6 + 6
PROPERTIES OF ADDITION
Commutative Property
When two numbers are added, the sum
is the same regardless of the order
of the addends
Associative Property
How can we group these numbers?

Let's look at the following equation:

Begin by placing the numbers 3 and 4 in parentheses.
Associative Property of Addition

In math, we always perform the operation that's in the parentheses first!

If we add parentheses, will we get the same sum ?
Associative Property
Now, what if we group the numbers differently...
Will we get the same answer again?


Yes...
Remember that, if both
number
sentences equal 9,
then those
number sentences have to
equal each other!




How about trying
the same thing with
another set of numbers:


Do we get
the same thing
when we add them...
even if we group
the numbers differently?


Yes...It sure looks
like it.
It's your turn to try it now...
Go ahead...
Pick any three numbers
you want...
Group them one way and add
them together...
Then, change the
parentheses and add
them again! I'll wait...


Remember that you
always do what's in
the parentheses first!
This rule just says that,
when you are doing addition,
it doesn't matter which
numbers you add first.
You can add the a and b first
OR you can add the b and c first
and you'll get the same answer.

NOTE: This does not work
with subtraction!

What's the answer
to this?

That was easy enough!
How about
switching
the order.
What happens
to the answer
then?

Same answer, right?
Well if both number
sentences equal 5,
then both sides have
to equal each other.
How about trying
the same thing
with some other
numbers:
Do we get the
same answer
when we add
them, eventhough
we switch the order?
Properties of Addition
In arithmetic, the identity is
Let's look at the number 5.
Anyway we try to add 0 to it, the 5 just keeps coming back as the answer.


Go ahead and try it with
any number you can thing of... It always works!

Full transcript