FOR OUR BBES 3RD GRADERS
MULTIPLICATION PROPERTIES
COMMUTATIVE PROPERTY
Looks like…
a X b = b X a
The order of the numbers doesn’t change the answer to
the problem!
COMMUTATIVE PROPERTY
a X b = b X aHow can I remember this?
“Commutative” sounds like “communicate.”
The a is COMMUNICATING (talking) with the b and then the b is
COMMUNICATING (talking) back to the a.
COMMUTATIVE PROPERTY
What goes in the blank?
5 X 2 = 2 X ___
COMMUTATIVE PROPERTY
What goes in the blank?
5 X 2 = 2 X 5
COMMUTATIVE PROPERTY
What goes in the blank?
7 X 8 = ___ X 7
COMMUTATIVE PROPERTY
What goes in the blank?
7 X 8 = 8 X 7
ASSOCIATIVE PROPERTY
Looks like…
(a X b) x c = a X (b x c)
The grouping of the factors doesn’t change the answer!
ASSOCIATIVE PROPERTY
(a X b) x c = a X (b x c)How can I remember this?
If you associate with someone, you are hanging out. So the a,
b, and c all hang out or “associate” with each other but sometimes in different groups.
(There is still only ONE a, b, and c hanging out! Just like there is only
one Johnny, Freddie, and Bob!)
ASSOCIATIVE PROPERTY
What goes in the blank?
(2 X 3) x 7 = __ X (3 x 7)
ASSOCIATIVE PROPERTY
What goes in the blank?
(2 X 3) x 7 = 2 X (3 x 7)
ASSOCIATIVE PROPERTY
What goes in the blank?
(5 X 4) x 8 = 5 X (__ x 8)
ASSOCIATIVE PROPERTY
What goes in the blank?
(5 X 4) x 8 = 5 X ( 4 x 8)
DISTRIBUTIVE PROPERTY
Looks like…
a x (b + c) = (a x b) + (a x c)
Multiplying the sum or difference by a number is the same as multiplying each number in the sum or difference by the number and adding or subtracting the
product!
DISTRIBUTIVE PROPERTY
a x (b + c) = (a x b) + (a x c)
How can I remember this?
If you distribute something,
you hand it out. With this property, the first
number is being distributed to the other numbers!
DISTRIBUTIVE PROPERTY
What goes in the blank?
9 X (20 - 3) = (9 X ___) – (9 X 3)
DISTRIBUTIVE PROPERTY
What goes in the blank?
9 X (20 - 3) = (9 X 20) – (9 X 3)
DISTRIBUTIVE PROPERTY
What goes in the blank?
5 X (2 + 7) = (5 X 2) + (___ X 7)
DISTRIBUTIVE PROPERTY
What goes in the blank?
5 X (2 + 7) = (5 X 2) + (5 X 7)
BONUS INFORMATION!
MULTIPLICATION PROPERTIES
IDENTITY PROPERTY
Looks like…
a X 1 = a
Any number multiplied by 1 will give you the original
number!
IDENTITY PROPERTY
a X 1 = a
How can I remember this?
A person has ONE identity which defines them.
So any number multiplied by ONE would show the identity
property!
IDENTITY PROPERTY
What goes in the blank?
8 x 1 = ____
IDENTITY PROPERTY
What goes in the blank?
8 x 1 = 8
IDENTITY PROPERTY
What goes in the blank?
___ x 1 = 45
IDENTITY PROPERTY
What goes in the blank?
45 x 1 = 45
ZERO PROPERTY
Looks like…
a X 0 = 0
When any number is multiplied with zero, the answer is zero!
ZERO PROPERTY
a X 0 = 0
How can I remember this?
Well… I hope this is as obvious to you as it is to me.
Any number multiplied by ZERO
equals ZERO in the ZERO property!
ZERO PROPERTY
What goes in the blank?
5 x 0 = ____
ZERO PROPERTY
What goes in the blank?
5 x 0 = 0
ZERO PROPERTY
What goes in the blank?
2,346 x ____ = 0
ZERO PROPERTY
What goes in the blank?
2,346 x 0 = 0
CHALLENGE ROUND!
MULTIPLICATION PROPERTIES
MULTIPLICATION PROPERTIES
Name the property that is being shown
in each of the following slides.
NAME THE PROPERTY THAT IS BEING SHOWN BELOW.
72 x 0 = 0Commutative PropertyAssociative Property
Identity PropertyZero Property
Distributive Property
NAME THE PROPERTY THAT IS BEING SHOWN BELOW.
72 x 0 = 0Commutative PropertyAssociative Property
Identity PropertyZero Property
Distributive Property
NAME THE PROPERTY THAT IS BEING SHOWN BELOW.
(2 X 6) x 7 = 2 X (6 x 7)
Commutative PropertyAssociative Property
Identity PropertyZero Property
Distributive Property
NAME THE PROPERTY THAT IS BEING SHOWN BELOW.
(2 X 6) x 7 = 2 X (6 x 7)
Commutative PropertyAssociative Property
Identity PropertyZero Property
Distributive Property
NAME THE PROPERTY THAT IS BEING SHOWN BELOW.
9 x 4 = 4 x 9Commutative PropertyAssociative Property
Identity PropertyZero Property
Distributive Property
NAME THE PROPERTY THAT IS BEING SHOWN BELOW.
9 x 4 = 4 x 9Commutative Property
Associative PropertyIdentity Property
Zero PropertyDistributive Property
NAME THE PROPERTY THAT IS BEING SHOWN BELOW.
1 x 6 = 6Commutative PropertyAssociative Property
Identity PropertyZero Property
Distributive Property
NAME THE PROPERTY THAT IS BEING SHOWN BELOW.
1 x 6 = 6Commutative PropertyAssociative PropertyIdentity Property
Zero PropertyDistributive Property
NAME THE PROPERTY THAT IS BEING SHOWN BELOW.
2 X (5 - 1) = (2 X 5) – (2 X 1)
Commutative PropertyAssociative Property
Identity PropertyZero Property
Distributive Property
NAME THE PROPERTY THAT IS BEING SHOWN BELOW.
2 X (5 - 1) = (2 X 5) – (2 X 1)
Commutative PropertyAssociative Property
Identity PropertyZero Property
Distributive Property
NAME THE PROPERTY THAT IS BEING SHOWN BELOW.
(7 X 5) x 3 = 7 X (5 x 3)
Commutative PropertyAssociative Property
Identity PropertyZero Property
Distributive Property
NAME THE PROPERTY THAT IS BEING SHOWN BELOW.
(7 X 5) x 3 = 7 X (5 x 3)
Commutative PropertyAssociative Property
Identity PropertyZero Property
Distributive Property
NAME THE PROPERTY THAT IS BEING SHOWN BELOW.
0 x 11 = 0Commutative PropertyAssociative Property
Identity PropertyZero Property
Distributive Property
NAME THE PROPERTY THAT IS BEING SHOWN BELOW.
0 x 11 = 0Commutative PropertyAssociative Property
Identity PropertyZero Property
Distributive Property
NAME THE PROPERTY THAT IS BEING SHOWN BELOW.
5 x 6 = 6 x 5Commutative PropertyAssociative Property
Identity PropertyZero Property
Distributive Property
NAME THE PROPERTY THAT IS BEING SHOWN BELOW.
5 x 6 = 6 x 5Commutative Property
Associative PropertyIdentity Property
Zero PropertyDistributive Property
NAME THE PROPERTY THAT IS BEING SHOWN BELOW.
8 X (3 + 6) = (8 X 3) + (8 X 6)
Commutative PropertyAssociative Property
Identity PropertyZero Property
Distributive Property
NAME THE PROPERTY THAT IS BEING SHOWN BELOW.
8 X (3 + 6) = (8 X 3) + (8 X 6)
Commutative PropertyAssociative Property
Identity PropertyZero Property
Distributive Property
NAME THE PROPERTY THAT IS BEING SHOWN BELOW.
25 x 1 = 25Commutative PropertyAssociative Property
Identity PropertyZero Property
Distributive Property
NAME THE PROPERTY THAT IS BEING SHOWN BELOW.
25 x 1 = 25Commutative PropertyAssociative PropertyIdentity Property
Zero PropertyDistributive Property
NAME THE PROPERTY THAT IS BEING SHOWN BELOW.
8 x 2 = 2 x 8Commutative PropertyAssociative Property
Identity PropertyZero Property
Distributive Property
NAME THE PROPERTY THAT IS BEING SHOWN BELOW.
8 x 2 = 2 x 8Commutative Property
Associative PropertyIdentity Property
Zero PropertyDistributive Property
NAME THE PROPERTY THAT IS BEING SHOWN BELOW.
153 x 0 = 0Commutative PropertyAssociative Property
Identity PropertyZero Property
Distributive Property
NAME THE PROPERTY THAT IS BEING SHOWN BELOW.
153 x 0 = 0Commutative PropertyAssociative Property
Identity PropertyZero Property
Distributive Property
NAME THE PROPERTY THAT IS BEING SHOWN BELOW.
9 X (6 - 5) = (9 X 6) – (9 X 5)
Commutative PropertyAssociative Property
Identity PropertyZero Property
Distributive Property
NAME THE PROPERTY THAT IS BEING SHOWN BELOW.
9 X (6 - 5) = (9 X 6) – (9 X 5)
Commutative PropertyAssociative Property
Identity PropertyZero Property
Distributive Property
NAME THE PROPERTY THAT IS BEING SHOWN BELOW.
(1 X 7) x 4 = 1 X (7 x 4)
Commutative PropertyAssociative Property
Identity PropertyZero Property
Distributive Property
NAME THE PROPERTY THAT IS BEING SHOWN BELOW.
(1 X 7) x 4 = 1 X (7 x 4)
Commutative PropertyAssociative Property
Identity PropertyZero Property
Distributive Property
YOU ROCK.
GREAT JOB!