do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84
DESCRIPTION
The Identity Property Using this property means you can operate with a number (multiply by 1 or add 0) and the number will keep its identity (stay the same)TRANSCRIPT
![Page 1: Do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84](https://reader035.vdocument.in/reader035/viewer/2022081515/5a4d1b637f8b9ab0599ae9c8/html5/thumbnails/1.jpg)
Do as many as you can in 5 minutes
17 21 25 2
6
1,000,000 7
2
17
64
81
84
![Page 2: Do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84](https://reader035.vdocument.in/reader035/viewer/2022081515/5a4d1b637f8b9ab0599ae9c8/html5/thumbnails/2.jpg)
Properties of Rational Numbers
Learning Goals (you will be tested on both of these Friday!):
1. I will be able to identify the Associative, Distributive, Commutative and Identity Properties.
2. I will understand how to apply the properties when doing problems.
![Page 3: Do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84](https://reader035.vdocument.in/reader035/viewer/2022081515/5a4d1b637f8b9ab0599ae9c8/html5/thumbnails/3.jpg)
The Identity Property Using this property means you can operate with a number(multiply by 1 or add 0)and the number will keep its identity (stay the same)
![Page 4: Do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84](https://reader035.vdocument.in/reader035/viewer/2022081515/5a4d1b637f8b9ab0599ae9c8/html5/thumbnails/4.jpg)
Identity Property… of Addition5 + 0 = 5of Multiplication3 1 = 3
![Page 5: Do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84](https://reader035.vdocument.in/reader035/viewer/2022081515/5a4d1b637f8b9ab0599ae9c8/html5/thumbnails/5.jpg)
The Commutative PropertyCommute commonly means drive to work!
This property says that the numbers in addition or multiplication problems can move around but the answer will stay the same.
![Page 6: Do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84](https://reader035.vdocument.in/reader035/viewer/2022081515/5a4d1b637f8b9ab0599ae9c8/html5/thumbnails/6.jpg)
How we use the Commutative Property…
(numbers trade places)in Addition
18 + 7 + 2 = 18 + 2 + 7in Multiplication
25 9 4 = 25 4 9
Why is this helpful ???
![Page 7: Do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84](https://reader035.vdocument.in/reader035/viewer/2022081515/5a4d1b637f8b9ab0599ae9c8/html5/thumbnails/7.jpg)
The Associative PropertyYour friends (or group) are the people with whom you associate!
For addition or multiplication, you can change the groups and the answer stays the same.
![Page 8: Do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84](https://reader035.vdocument.in/reader035/viewer/2022081515/5a4d1b637f8b9ab0599ae9c8/html5/thumbnails/8.jpg)
How we use the Associative Property… (groups change)
in Addition
(74 + 8) + 12 = 74 + (8 + 12)
in Multiplication
(3 4) 25= 3 (4 25)
Why is this helpful ???
![Page 9: Do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84](https://reader035.vdocument.in/reader035/viewer/2022081515/5a4d1b637f8b9ab0599ae9c8/html5/thumbnails/9.jpg)
The Distributive PropertyDistribute means to pass something out or deliver it!
We can break a number into smaller pieces and distribute it across the operation without changing the answer!
![Page 10: Do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84](https://reader035.vdocument.in/reader035/viewer/2022081515/5a4d1b637f8b9ab0599ae9c8/html5/thumbnails/10.jpg)
How we use the Distributive Property
(break the number and use the parts)
7(43) = 7(40 + 3) = 7(40) + 7(3) = 280 + 21 = 301 Why is
this helpful ???
![Page 11: Do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84](https://reader035.vdocument.in/reader035/viewer/2022081515/5a4d1b637f8b9ab0599ae9c8/html5/thumbnails/11.jpg)
Which Property is this?
99 + 0 = 991 - Identity2 - Associative3 - Commutative4 - Distributive
Identity Property (of
Addition)
![Page 12: Do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84](https://reader035.vdocument.in/reader035/viewer/2022081515/5a4d1b637f8b9ab0599ae9c8/html5/thumbnails/12.jpg)
Which Property?
5(20 + 7) = 100 + 35
1 - Identity2 - Associative3 - Commutative4 - Distributive
The Distributive Property
![Page 13: Do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84](https://reader035.vdocument.in/reader035/viewer/2022081515/5a4d1b637f8b9ab0599ae9c8/html5/thumbnails/13.jpg)
Which Property?
21 + 6 = 6 + 21
Commutative Property
(of Addition)
1 - Identity2 - Associative3 - Commutative4 - Distributive
![Page 14: Do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84](https://reader035.vdocument.in/reader035/viewer/2022081515/5a4d1b637f8b9ab0599ae9c8/html5/thumbnails/14.jpg)
Which Property?
11 + 0 = 111 - Identity2 - Associative3 - Commutative4 - Distributive
Identity Property
(of Addition)
![Page 15: Do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84](https://reader035.vdocument.in/reader035/viewer/2022081515/5a4d1b637f8b9ab0599ae9c8/html5/thumbnails/15.jpg)
Which Property?
(10 3) 7 = 10 (3 7)
Associative Property
(of Multiplication)
1 - Identity2 - Associative3 - Commutative4 - Distributive
![Page 16: Do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84](https://reader035.vdocument.in/reader035/viewer/2022081515/5a4d1b637f8b9ab0599ae9c8/html5/thumbnails/16.jpg)
Which Property?
4(n - 8) = 4n - 32
The Distributive Property
1 - Identity2 - Associative3 - Commutative4 - Distributive
![Page 17: Do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84](https://reader035.vdocument.in/reader035/viewer/2022081515/5a4d1b637f8b9ab0599ae9c8/html5/thumbnails/17.jpg)
Which Property?
(34)(6)=(6)(34)
Commutative Property
(of Multiplication)
1 - Identity2 - Associative3 - Commutative4 - Distributive
![Page 18: Do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84](https://reader035.vdocument.in/reader035/viewer/2022081515/5a4d1b637f8b9ab0599ae9c8/html5/thumbnails/18.jpg)
How we use the Commutative Property…
(numbers trade places)in Addition
18 + 7 + 2 = 18 + 2 + 7in Multiplication
25 9 4 = 25 4 9
Why is this helpful ???
![Page 19: Do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84](https://reader035.vdocument.in/reader035/viewer/2022081515/5a4d1b637f8b9ab0599ae9c8/html5/thumbnails/19.jpg)
Applying the Properties!Use the Commutative Property to
make this problem easier…
63 + 49 + 7 + 51
63 + 7 + 49 + 51 70 + 100 = 170
![Page 20: Do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84](https://reader035.vdocument.in/reader035/viewer/2022081515/5a4d1b637f8b9ab0599ae9c8/html5/thumbnails/20.jpg)
How we use the Associative Property… (groups change)
in Addition
(74 + 8) + 12 = 74 + (8 + 12)
in Multiplication
(3 4) 25= 3 (4 25)
Why is this helpful ???
![Page 21: Do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84](https://reader035.vdocument.in/reader035/viewer/2022081515/5a4d1b637f8b9ab0599ae9c8/html5/thumbnails/21.jpg)
Use the Associative Property to make this problem easier…
(37∙5)∙20 = 37∙(5∙20) = 37∙100 = 3700
Applying the Properties!
![Page 22: Do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84](https://reader035.vdocument.in/reader035/viewer/2022081515/5a4d1b637f8b9ab0599ae9c8/html5/thumbnails/22.jpg)
How we use the Distributive Property
(break the number and use the parts)
7(43) = 7(40 + 3) = 7(40) + 7(3) = 280 + 21 = 301 Why is
this helpful ???
![Page 23: Do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84](https://reader035.vdocument.in/reader035/viewer/2022081515/5a4d1b637f8b9ab0599ae9c8/html5/thumbnails/23.jpg)
Use the Distributive Property to make this problem easier…
98∙6 =90 ∙6 = 8 ∙6 =
Applying the Properties!
540 48588
![Page 24: Do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84](https://reader035.vdocument.in/reader035/viewer/2022081515/5a4d1b637f8b9ab0599ae9c8/html5/thumbnails/24.jpg)
Use the Associative Property to make this problem easier…
47 + (3 + 29) + 1(47 + 3) + (29 + 1) 50 + 30
80
Applying the Properties!
![Page 25: Do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84](https://reader035.vdocument.in/reader035/viewer/2022081515/5a4d1b637f8b9ab0599ae9c8/html5/thumbnails/25.jpg)
Applying the PropertiesUse the Distributive Property to
make this problem easier…
49∙11 = 49∙1049∙1
= 490= 49
539
![Page 26: Do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84](https://reader035.vdocument.in/reader035/viewer/2022081515/5a4d1b637f8b9ab0599ae9c8/html5/thumbnails/26.jpg)
Use the Commutative Property to make this problem easier…
4∙89∙25
=4∙25∙89 = 100∙89 = 8900
Applying the Properties!
![Page 27: Do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84](https://reader035.vdocument.in/reader035/viewer/2022081515/5a4d1b637f8b9ab0599ae9c8/html5/thumbnails/27.jpg)
Homework Time!P30 #1-18, 65-68
![Page 28: Do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84](https://reader035.vdocument.in/reader035/viewer/2022081515/5a4d1b637f8b9ab0599ae9c8/html5/thumbnails/28.jpg)
Use the Commutative Property to make this problem easier…
Applying the Properties!
![Page 29: Do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84](https://reader035.vdocument.in/reader035/viewer/2022081515/5a4d1b637f8b9ab0599ae9c8/html5/thumbnails/29.jpg)
Which Property?
(8 + 4) + 1 = 8 + (4 + 1)
Associative Property (of Addition)
1 - Identity2 - Associative3 - Commutative4 - Distributive
![Page 30: Do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84](https://reader035.vdocument.in/reader035/viewer/2022081515/5a4d1b637f8b9ab0599ae9c8/html5/thumbnails/30.jpg)
Which Property?
3 9 = 9 3
Commutative Property of Multiplication
1 - Identity2 - Associative3 - Commutative4 - Distributive
![Page 31: Do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84](https://reader035.vdocument.in/reader035/viewer/2022081515/5a4d1b637f8b9ab0599ae9c8/html5/thumbnails/31.jpg)
Which Property?
3 + 4 = 4 + 3
Commutative Property of Addition
1 - Identity2 - Associative3 - Commutative4 - Distributive
![Page 32: Do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84](https://reader035.vdocument.in/reader035/viewer/2022081515/5a4d1b637f8b9ab0599ae9c8/html5/thumbnails/32.jpg)
Which Property?
3 1 = 3
Identity Property of Multiplication
1 - Identity2 - Associative3 - Commutative4 - Distributive
![Page 33: Do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84](https://reader035.vdocument.in/reader035/viewer/2022081515/5a4d1b637f8b9ab0599ae9c8/html5/thumbnails/33.jpg)
Which Property?
5(9w + 1) = 45w + 5
The Distributive Property
1 - Identity2 - Associative3 - Commutative4 - Distributive
![Page 34: Do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84](https://reader035.vdocument.in/reader035/viewer/2022081515/5a4d1b637f8b9ab0599ae9c8/html5/thumbnails/34.jpg)
Which Property?
(2 + 6) + 3 = 2 + (6 + 3)
Associative Property of Addition
1 - Identity2 - Associative3 - Commutative4 - Distributive
![Page 35: Do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84](https://reader035.vdocument.in/reader035/viewer/2022081515/5a4d1b637f8b9ab0599ae9c8/html5/thumbnails/35.jpg)
Which Property?
14 2 = 2 14Commutative
Property of Multiplication
1 - Identity2 - Associative3 - Commutative4 - Distributive
![Page 36: Do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84](https://reader035.vdocument.in/reader035/viewer/2022081515/5a4d1b637f8b9ab0599ae9c8/html5/thumbnails/36.jpg)
Which Property?
9 1 = 9
Identity Property of Multiplication
1 - Identity2 - Associative3 - Commutative4 - Distributive
![Page 37: Do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84](https://reader035.vdocument.in/reader035/viewer/2022081515/5a4d1b637f8b9ab0599ae9c8/html5/thumbnails/37.jpg)
Which Property?
3(6k - 9) = 18k - 27
The Distributive Property
1 - Identity2 - Associative3 - Commutative4 - Distributive
![Page 38: Do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84](https://reader035.vdocument.in/reader035/viewer/2022081515/5a4d1b637f8b9ab0599ae9c8/html5/thumbnails/38.jpg)
Which Property?
11 + 0 = 11
Identity Property of Addition
1 - Identity2 - Associative3 - Commutative4 - Distributive
![Page 39: Do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84](https://reader035.vdocument.in/reader035/viewer/2022081515/5a4d1b637f8b9ab0599ae9c8/html5/thumbnails/39.jpg)
Which Property?
4 2 = 2 4
Commutative Property of Multiplication
1 - Identity2 - Associative3 - Commutative4 - Distributive
![Page 40: Do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84](https://reader035.vdocument.in/reader035/viewer/2022081515/5a4d1b637f8b9ab0599ae9c8/html5/thumbnails/40.jpg)
Which Property?
(4 + 7)(9)=(9)(4 +7)
Commutative Property of Multiplication
1 - Identity2 - Associative3 - Commutative4 - Distributive
![Page 41: Do as many as you can in 5 minutes 17 21 25 2 6 1,000,000 72 17 64 81 84](https://reader035.vdocument.in/reader035/viewer/2022081515/5a4d1b637f8b9ab0599ae9c8/html5/thumbnails/41.jpg)
Which Property?
(4 + 7) + 2= (7 + 4) + 2
Commutative Property of Addition
1 - Identity2 - Associative3 - Commutative4 - Distributive