bellringer – name the property
DESCRIPTION
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 - PowerPoint PPT PresentationTRANSCRIPT
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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
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Go Over Homework
Textbook page 10-11, problem 8-40
even show all your work
Skip Problem #34
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Multiply DecimalsChapter 1, Section 3
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Four Properties of MultiplicationFour Properties of Multiplication1. Commutative2. Associative3. Identity4. Zero Property
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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.
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The Commutative PropertyThe Commutative Property
A x B = B x AA x B = B x A
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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
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Four Properties of MultiplicationFour Properties of Multiplication1. Commutative2. Associative3. Identity4. Zero Property
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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.
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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)
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Four Properties of MultiplicationFour Properties of Multiplication1. Commutative2. Associative3. Identity4. Zero Property
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Identity Property of MultiplicationIdentity Property of Multiplication
A x 1 = A
x 1 =
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Identity Property of Multiplication
The product of one and anything is anything
1 x 3 = 3
18 x 1 = 18
1 x C = C
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Four Properties of MultiplicationFour Properties of Multiplication1. Commutative2. Associative3. Identity4. Zero Property
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Zero Property of MultiplicationZero Property of Multiplication
A x 0 = 0
x 0 = 0
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Zero Property of Multiplication
The product of zero and anything is zero
3 x 0 = 0
18 x 0 =0
0 x C = 0
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Let’s practice !Let’s practice !
Look at the problem.
Identify which property it represents.
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(9 x 8) x 7 = 9 x (8 x 7)
The Associative Property
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12 x 0 = 0
Zero Property
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3 x1 = 3 The Identity Property
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9 x 7 = 7 x 9
The Commutative Property
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4 x1 = 4Identity Property
Numbers change places.
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(4 x 3) x 2 = 4 x (3 x 2)
The Associative Property
It has parentheses!
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a x b = b x aThe Commutative Property
Moving numbers!
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a x 0 = 0 Zero Property
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A
(a x b) x c = a x (b x c) The Associative Property
Parentheses!
C
B
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1. Write the Problem
4 . 32x 0.012
*** Place values do NOT need to line up, but digits do!!!
Multiplying Decimals - Steps
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2. Pretend decimals are not there!
4 . 32x 0.012
Multiplying Decimals - Steps
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3. Multiply
4 . 32x 0.012 864+ 432000000
05184
Multiplying Decimals - Steps
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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
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5. Place decimal that many places left.
. 05184
4 . 32x 0.012 864+ 432000000
05184
Multiplying Decimals - Steps
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Textbook pg. 16 #1-10 & 20 together
3.41
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Homework Time
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)