FOR OUR BBES 3 RD 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 a How 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

Name the property that is being shown in each of the following slides.

NAME THE PROPERTY THAT IS BEING SHOWN BELOW. 72 x 0 = 0 Commutative Property Associative Property Identity Property Zero Property Distributive Property

NAME THE PROPERTY THAT IS BEING SHOWN BELOW. 72 x 0 = 0 Commutative Property Associative Property Identity Property Zero Property Distributive Property

NAME THE PROPERTY THAT IS BEING SHOWN BELOW. (2 X 6) x 7 = 2 X (6 x 7) Commutative Property Associative Property Identity Property Zero Property Distributive Property

NAME THE PROPERTY THAT IS BEING SHOWN BELOW. (2 X 6) x 7 = 2 X (6 x 7) Commutative Property Associative Property Identity Property Zero Property Distributive Property

NAME THE PROPERTY THAT IS BEING SHOWN BELOW. 9 x 4 = 4 x 9 Commutative Property Associative Property Identity Property Zero Property Distributive Property

NAME THE PROPERTY THAT IS BEING SHOWN BELOW. 9 x 4 = 4 x 9 Commutative Property Associative Property Identity Property Zero Property Distributive Property

NAME THE PROPERTY THAT IS BEING SHOWN BELOW. 1 x 6 = 6 Commutative Property Associative Property Identity Property Zero Property Distributive Property

NAME THE PROPERTY THAT IS BEING SHOWN BELOW. 1 x 6 = 6 Commutative Property Associative Property Identity Property Zero Property Distributive Property

NAME THE PROPERTY THAT IS BEING SHOWN BELOW. 2 X (5 - 1) = (2 X 5) – (2 X 1) Commutative Property Associative Property Identity Property Zero Property Distributive Property

NAME THE PROPERTY THAT IS BEING SHOWN BELOW. 2 X (5 - 1) = (2 X 5) – (2 X 1) Commutative Property Associative Property Identity Property Zero Property Distributive Property

NAME THE PROPERTY THAT IS BEING SHOWN BELOW. (7 X 5) x 3 = 7 X (5 x 3) Commutative Property Associative Property Identity Property Zero Property Distributive Property

NAME THE PROPERTY THAT IS BEING SHOWN BELOW. (7 X 5) x 3 = 7 X (5 x 3) Commutative Property Associative Property Identity Property Zero Property Distributive Property

NAME THE PROPERTY THAT IS BEING SHOWN BELOW. 0 x 11 = 0 Commutative Property Associative Property Identity Property Zero Property Distributive Property

NAME THE PROPERTY THAT IS BEING SHOWN BELOW. 0 x 11 = 0 Commutative Property Associative Property Identity Property Zero Property Distributive Property

NAME THE PROPERTY THAT IS BEING SHOWN BELOW. 5 x 6 = 6 x 5 Commutative Property Associative Property Identity Property Zero Property Distributive Property

NAME THE PROPERTY THAT IS BEING SHOWN BELOW. 5 x 6 = 6 x 5 Commutative Property Associative Property Identity Property Zero Property Distributive Property

NAME THE PROPERTY THAT IS BEING SHOWN BELOW. 8 X (3 + 6) = (8 X 3) + (8 X 6) Commutative Property Associative Property Identity Property Zero Property Distributive Property

NAME THE PROPERTY THAT IS BEING SHOWN BELOW. 8 X (3 + 6) = (8 X 3) + (8 X 6) Commutative Property Associative Property Identity Property Zero Property Distributive Property

NAME THE PROPERTY THAT IS BEING SHOWN BELOW. 25 x 1 = 25 Commutative Property Associative Property Identity Property Zero Property Distributive Property

NAME THE PROPERTY THAT IS BEING SHOWN BELOW. 25 x 1 = 25 Commutative Property Associative Property Identity Property Zero Property Distributive Property

NAME THE PROPERTY THAT IS BEING SHOWN BELOW. 8 x 2 = 2 x 8 Commutative Property Associative Property Identity Property Zero Property Distributive Property

NAME THE PROPERTY THAT IS BEING SHOWN BELOW. 8 x 2 = 2 x 8 Commutative Property Associative Property Identity Property Zero Property Distributive Property

NAME THE PROPERTY THAT IS BEING SHOWN BELOW. 153 x 0 = 0 Commutative Property Associative Property Identity Property Zero Property Distributive Property

NAME THE PROPERTY THAT IS BEING SHOWN BELOW. 153 x 0 = 0 Commutative Property Associative Property Identity Property Zero Property Distributive Property

NAME THE PROPERTY THAT IS BEING SHOWN BELOW. 9 X (6 - 5) = (9 X 6) – (9 X 5) Commutative Property Associative Property Identity Property Zero Property Distributive Property

NAME THE PROPERTY THAT IS BEING SHOWN BELOW. 9 X (6 - 5) = (9 X 6) – (9 X 5) Commutative Property Associative Property Identity Property Zero Property Distributive Property

NAME THE PROPERTY THAT IS BEING SHOWN BELOW. (1 X 7) x 4 = 1 X (7 x 4) Commutative Property Associative Property Identity Property Zero Property Distributive Property

NAME THE PROPERTY THAT IS BEING SHOWN BELOW. (1 X 7) x 4 = 1 X (7 x 4) Commutative Property Associative Property Identity Property Zero Property Distributive Property

YOU ROCK. GREAT JOB!