Download TA 2.1-2.2 properties including distributive Property notes 2014

TA 2.1­2.2 properties including distributive Property notes 2014.notebook January 30, 2017
Adding
Subtracting
Dividing
Multiplying
Notes on Properties
2.1 What are the properties of operations?
Warm­up
Commutative Property
of addition
3.) Find the mean, median, mode, and range.
l
Dog weights: 39 lbs, 84 lbs,
38 lbs, 32 lbs, 42 lbs, 60 lbs
4+­7=­7+4
a+b=b+a
You can add numbers in any order
of multiplication
You can multiply numbers in any order.
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TA 2.1­2.2 properties including distributive Property notes 2014.notebook January 30, 2017
Associative Property
Identity Property
of addition:
of addition:
changing the grouping of the #'s in a sum
doesn't change the sum..
of multiplication:
Adding zero to a number doesn't
change the number..
of multiplication:
changing the grouping of the #'s in a product doesn't change the product..
Multiplying a number by 1 doesn't
change the number.
2.2 How do you use the Distributive Property to simplify
expressions?
Identify the property
You and a friend are going on a camping
trip. You each buy a backpack that costs
$90 and a sleeping bag that costs $60.
What is the total cost of the
equipment?
Ex 4: (n+3)(-3 )
The distributive property states:
a(b+c) = ab+ac
4(6+3) =
(b+c)a = ab+ac
(6+3)4 =
a(b-c) = ab-ac
5(7-2) =
(b-c)a = ab-ac
(7-2)5 =
Ex 5: -3(2y - 6)
You try these:
1. 9(3+3k)
2. (7-y)(-4)
3. 8(2m+5)
4. -3(-4n+2)
You must write out all the steps
Ex 1: 3(8+5)
Ex 2: -5(10 - 3)
Ex 3: 3(x+7)
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TA 2.1­2.2 properties including distributive Property notes 2014.notebook January 30, 2017
Find the Area.
Ex 6.
Ex 7:
7
2x+5
8-3y
5. 9(10-k)
6. (y+12)(-3)
7. -8(4r+6)
8. -8(-4x+12)
9. 3(m+-2c+5)
10. Find the Area.
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10
2x+4
3m-4
11. Find the Area.
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More examples:
Ex 1: -3m(2m-5)
Ex2: 15p(3+8p)
Ex 3:
Ex 4: - g(3m+-4g)
r(-3r-12c)
Ex 5: -(-5m+34)
Ex 6: -(22c2-15)
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