Bellringer – Name the property
(9 + 8) + 7 = 9 + (8 + 7) The Associative Property of Addition
12 + 0 = 12 The Identity Property of
Addition9 + 7 = 7 + 9
The Commutative Property of Addition
Four Properties of MultiplicationFour Properties of Multiplication1. Commutative2. Associative3. Identity4. Zero Property
Communative Property of MultiplicationCommunative Property of Multiplication
Commuter A
Commuter B
Commuter A
Commuter B
A x B = B x A.
Remember… commute means to change.
Commutative Property of
Multiplication
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
Four Properties of MultiplicationFour Properties of Multiplication1. Commutative2. Associative3. Identity4. Zero Property
The Associative PropertyThe Associative Property
(A x B) x C = A x (B x C)
(A x B) x C = A x (B x C)
A C
B
A C
B
THEN THEN
The parentheses identify which two associates talked first.
Associative Property of
Multiplication
Changing the grouping of the factors does not change the product .
(1 x 2) x 3 = 1 x ( 2 x 3)
(4 x 5) x 6 = 4 x ( 5 x 6 )
(A x B) x C = A x ( B x C)
Four Properties of MultiplicationFour Properties of Multiplication1. Commutative2. Associative3. Identity4. Zero Property
Identity Property of Multiplication
The product of one and anything is anything
1 x 3 = 3
18 x 1 = 18
1 x C = C
Four Properties of MultiplicationFour Properties of Multiplication1. Commutative2. Associative3. Identity4. Zero Property
Zero Property of Multiplication
The product of zero and anything is zero
3 x 0 = 0
18 x 0 =0
0 x C = 0
1. Write the Problem
4 . 32x 0.012
*** Place values do NOT need to line up, but digits do!!!
Multiplying Decimals - Steps
4. Count total number of places behind ALL Decimals
4 . 32x 0.012 864+ 432000000
05184
2 places
3 places
5 total places!!
Multiplying Decimals - Steps
5. Place decimal that many places left.
. 05184
4 . 32x 0.012 864+ 432000000
05184
Multiplying Decimals - Steps