Multiplication Properties
The property that states that any number x0 is ALWAYS ZERO!!!!!!!
The Zero Property
10, 20, ? , ? , 50 --what is missing?
30, 40
10 x 2
20
0
McCoy has three bags of Takis. Each bag has 10 Takis in it. How many Takis does McCoy have?
The property that states that any number x1 is THAT NUMBER!!
The Identity Property!
80, ? , 100, 110, ?, - what is missing?
90 and 120
10 x 5
50
1 x 4 = ?
4
Lola discovers six boxes of Twinkies hidden in the classroom. Each bag has 8 Twinkies in it. How many Twinkies are there total?
6 x 8 = 48
The property that states that if you switch your factors around you will still get the same product! We sometimes call this the switcheroo!
The Commutative Property
230, 240, ? , ? , ? , ? , -what is missing?
250, 260, 270, 280
100
6 x 7 = ?
42
Logan decides to bake cookies for the class. We have 21 students in class. Logan bakes 5 cookies at a time. He bakes 4 times. How many cookies does he bake? Does he have enough for 21 students?
NO! There would not be enough.
This property tells us that the grouping of factors can be changed and the product remains the same. We sometimes say that they are "hugging"
The Associative Property
? , ? , ?, ? , 520 - what is missing?
480, 490, 500, 510
10 x (3+3)
60
7 x 9 = ?
63
Eva buys some art supplies. She buys 2 packs of markers, 3 packs of crayons, 1 pack of colored pencils, and 6 paint sets. If each paint set has 6 colors in it, how many paint colors are there all together?
6 x 6 = 36
This property tells us that one of the factors can be broken up into sums, and the product or answer will still be the same. We sometimes call this the "breaking up" property.
The Distributive Property
900, 910, ?, ?, ? , ? , - what is missing?
920, 930, 940, 950
(10 x 2) + (10 x 5) = ?
20 + 50 = 70
12 x 4 = ?
48
John has his Pokemon cards in a binder. On each page there are 12 Pokemon cards. If he has 12 pages full of Pokemon cards, how many does he have in all?
12 x 12 = 144