Mathematical Properties
Presentation
•
Mathematics
•
6th - 10th Grade
•
Hard
Joseph Anderson
FREE Resource
12 Slides • 13 Questions
1
Mathematical Properties
by
E. Alexander
2
Learning Targets
I can apply the commutative, associative, and distributive properties appropriately in adding and subtracting rational numbers.
I can apply the commutative, associative, and distributive properties appropriately in multiplying and dividing rational numbers.
3
Properties of Addition and Multiplication
1. Commutative Property of Addition
2. Commutative Property of Multiplication
3. Associative Property of Addition
4. Associative Property of Multiplication
5. Identity Property of Addition
6. Identity Property of Multiplication
7. Distributive Property of Multiplication over Addition
8. Distributive Property of Multiplication over Subtraction
9. Zero Property of Multiplication
4
Commutative Property of Addition
The order in which you add numbers does not change the sum
5
Commutative Property of Multiplication
The order in which you multiply numbers does not change the product
6
Associative Property of Addition
Changing the grouping of numbers when adding does not change the sum
7
Associative Property of Multiplication
Changing the grouping of numbers when multiplying does not change the product
8
Multiple Choice
Which Property is illustrated when
6 + (-3) = (-3) + 6
is shown?
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Addition
Associative Property of Multiplication
9
Multiple Choice
Which property is shown?
-7(2 ⋅ 4) = (-7 ⋅ 2)4
Associative Property of Addition
Associative Property of Multiplication
Commutative Property of Addition
Commutative Property of Multiplication
10
Fill in the Blanks
Type answer...
11
Poll
I can identify commutative and associative properties
Yes
No
I need more practice
I can't tell the difference between the two yet
12
Identity Property of Addition
Any number added to zero will have the same number as the sum
13
Identity Property of Multiplication
Any number multiplied by 1 will result in the same number being the product.
14
Multiple Choice
3 + 1 = 4
is an example of which property?
Associative property of addition
Commutative Property of addition
Identity Property of Addition
Its not a property
15
Multiple Choice
0 + (-4) = -4
is an example of which property?
Associative Property of addition
Commutative Property of Addition
Identity Property of Addtion
It is not a property
16
Multiple Choice
0 + ? = 6
Which property is used?
Associative Property of Addition
Commutative Property of Addition
Identity Property of Addition
Identity Property of Multiplication
17
Distributive Property of Multiplication over addition
The Distributive Law says that multiplying a number by a group of numbers added together is the same as doing each multiplication separately.
18
Distributive Property of Multiplication over subtraction
19
Fill in the Blanks
Type answer...
20
Multiple Choice
Using the distributive property of Multiplication over Addition, how is this statement re-written?
6[4 + (-5)] = ?
6(4) + (-5)
-5(6) + 6(4)
6(-5) - 6(4)
6(4) + 6(-5)
21
Multiple Choice
Which property is being used in the statement?
8 + (5 + 4) = (5 + 4) + 8
Associative Property of Addition
Associative Property of Multiplication
Commutative Property of Addition
Commutative Property of Multiplication
22
Zero Property of Multiplication
The product of any number and zero, is zero.
23
Fill in the Blanks
Type answer...
24
Multiple Choice
Which property is show in the statement?
b + 0 = b
Zero Property of Multiplication
Identity Property of Addition
Identity Property of Multiplication
Associative Property of Addtion
25
Multiple Choice
Which property is shown in the statement?
3(a + 9) = 3(a) + 3(9)
Zero Property of Multiplication
Distributive Property of Multiplication over Subtraction
Distributive Property of Multiplication over Addition
Commutative Property of Addition
Mathematical Properties
by
E. Alexander
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