Properties Of Multiplication

math

1. Properties
of
Multiplication

2. There are 4 properties you need to
know:
•The Commutative Property
•The Associative Property
•The Distributive Property
•The Identity Property

3. Properties Main Menu
The
Commutative
Property
The
Associative
Property
The
Distributive
Property
The
Identity
Property
Review each of the properties in any order you would like!
Properties Review

4. The Commutative Property
•The Commutative Property of Additiontells
us that the order in which two numbers are
added does not change the sum
Symbols
A + B = B + A
Example
2 + 5 = 5 +2
7 = 7

5. The Commutative Property of Addition
3 + 2 = 2 + 3
5 = 5
2 + 1 = 1 + 2
3 = 3

6. The Commutative Property
•The Commutative Property of
Multiplicationtells us that the order in
which two numbers are multiplied does not
change the product
Symbols
A B = B A
Example
2 5 = 5 2
10 = 10

7. The Commutative Property of
Multiplication
Properties
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8. The Associative Property
•The Associative Property of Additiontells
us that the way in which numbers are
grouped when they are added does not
change the sum
Symbols
(a + b) + c = a + (b + c)
Example
(4 + 5) + 3 = 4 + (5 + 3)
9 + 3 = 4 + 8
12 = 12

9. The Associative Property of Addition
=

10. The Associative Property
•The Associative Property of Multiplication
tells us that the way in which numbers are
grouped when they are multiplied does not
change the product
Symbols
(a b) c = a (b c)
Example
(4 5) 3 = 4 (5 3)
20 3 = 4 15
60 = 60

11. The Associative Property of
Multiplication
5 (3 7) = (5 3) 7
5 21 = 15 7
105 = 105
Properties
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12. The Distributive Property
•The Distributive Propertycombines
addition and multiplication. It tells us that
to multiply any number by a sum, multiply
each number on the inside of the
parentheses by the number outside the
parentheses
Symbols
a (b +c) = ab + ac
Example
4 (5 +3) = 4 5 + 4 3
4 8 = 20 + 12
32 = 32

13. The Distributive Property
Properties
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14. The Identity Property
•The Additive Identityproperty tells is that
when zero is added to any number, the
sum is that number
Symbols
a + 0= a
Example
7 + 0 = 7

15. The Additive Identity Property

16. The Identity Property
•The Multiplicative Identityproperty tells is
that when any number is multiplied by one,
the product is that number
Symbols
a 1= a
Example
5 1 = 5

17. The Multiplicative Identity Property
Properties
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18. How well do you know the properties?
•On the following slides, you will have to identify
the property that is shown.
•If you would like to look over any of the properties
before you begin, return to the Properties Main
Menu
Begin Properties Review!

19. What property is shown?
Commutative Property Associative Property
Distributive Property Identity Property

20. Correct!
•This is an example of the Commutative Property
Next Question 

21. What property is shown?
Commutative Property Associative Property
Distributive Property Identity Property

22. Correct!
•This is an example of the Distributive Property
Next Question 

23. What property is shown?
Commutative Property Associative Property
Distributive Property Identity Property

24. Correct!
•This is an example of the Associative Property
Next Question 

25. What property is shown?
Commutative Property Associative Property
Distributive Property Identity Property

26. Correct!
•This is an example of the Associative Property
Next Question 

27. What property is shown?
Commutative Property Associative Property
Distributive Property Identity Property

28. Correct!
•This is an example of the Distributive Property
Next Question 

29. What property is shown?
Commutative Property Associative Property
Distributive Property Identity Property

30. Correct!
•This is an example of the Identity Property
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