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# Bellringer – Name the property - PowerPoint PPT Presentation

Bellringer – Name the property. (9 + 8) + 7 = 9 + (8 + 7). The Associative Property of Addition. 12 + 0 = 12. The Identity Property of Addition. 9 + 7 = 7 + 9. The Commutative Property of Addition. Go Over Homework. Textbook page 10-11, problem 8-40 even show all your work

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Bellringer – Name the property

(9 + 8) + 7 = 9 + (8 + 7)

12 + 0 = 12

9 + 7 = 7 + 9

Textbook page 10-11, problem 8-40 even show all your work

Skip Problem #34

### Multiply Decimals

Chapter 1, Section 3

• Commutative

• Associative

• Identity

• Zero Property

Communative Property of Multiplication

Commuter B

Commuter A

A x B = B x A.

Remember… commute means to change.

Commuter A

Commuter B

A x B = B x A

Changing the order of the factors does not change the product

A x B = B x A

1 x 2 x 3 = 3 x 1 x 2

4 x 5 x 6 = 5 x 6 x 4

Commutative Property of Multiplication

• Commutative

• Associative

• Identity

• Zero Property

C

B

A

C

B

The Associative Property

The parentheses identify which two associates talked first.

(A x B)x C = A x (B x C)

THEN

THEN

Changing the grouping of the factors does not change the product .

(1 x 2) x 3 = 1 x ( 2 x 3)

(A x B) x C = A x ( B x C)

(4 x 5) x 6 = 4 x ( 5 x 6 )

Associative Property of Multiplication

• Commutative

• Associative

• Identity

• Zero Property

A x 1 = A

x 1 =

The product of one and anything is anything

1 x 3 = 3

1 x C = C

18 x 1 = 18

Identity Property of Multiplication

• Commutative

• Associative

• Identity

• Zero Property

A x 0 = 0

x 0 = 0

The product of zero and anything is zero

3 x 0 = 0

0 x C = 0

18 x 0 =0

Zero Property of Multiplication

### Let’s practice !

Look at the problem.

Identify which property it represents.

(9 x 8) x 7 = 9 x (8 x 7)

The Associative Property

12 x 0 = 0

Zero Property

3 x1 = 3

The Identity Property

9 x 7 = 7 x 9

The Commutative Property

4 x1 = 4

Identity Property

Numbers change places.

(4 x 3) x 2 = 4 x (3 x 2)

The Associative Property

It has parentheses!

a x b = b x a

The Commutative Property

Moving numbers!

a x 0 = 0

Zero Property

C

B

(a x b) x c = a x (b x c)

The Associative Property

Parentheses!

4 . 32

x 0.012

*** Place values do NOT need to line up, but digits do!!!

1. Write the Problem

4 . 32

x 0.012

2. Pretend decimals are not there!

4 . 32

x 0.012

864

+ 4320

00000

05184

3. Multiply

4 . 32

x 0.012

2 places

3 places

864

+ 4320

00000

5 total places!!

05184

Count total number of places

behind ALL Decimals

4 . 32

x 0.012

864

+ 4320

00000

05184

. 05184

Place decimal that many

places left.

Textbook pg. 16 #1-10 & 20 together

3.41

Textbook page 16, problem 12-30 even show all your work

12- 18 do not estimate, give exact answer

30 show work (not extra credit)