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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 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) 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 Skip Problem #34
Multiply Decimals Chapter 1, Section 3
Four Properties of Multiplication • 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
The Commutative Property 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
Four Properties of Multiplication • Commutative • Associative • Identity • Zero Property
A 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
Four Properties of Multiplication • Commutative • Associative • Identity • Zero Property
Identity Property of Multiplication 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
Four Properties of Multiplication • Commutative • Associative • Identity • Zero Property
Zero Property of Multiplication 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
A C B (a x b) x c = a x (b x c) The Associative Property Parentheses!
Multiplying Decimals - Steps 4 . 32 x 0.012 *** Place values do NOT need to line up, but digits do!!! 1. Write the Problem
Multiplying Decimals - Steps 4 . 32 x 0.012 2. Pretend decimals are not there!
Multiplying Decimals - Steps 4 . 32 x 0.012 864 + 4320 00000 05184 3. Multiply
Multiplying Decimals - Steps 4 . 32 x 0.012 2 places 3 places 864 + 4320 00000 5 total places!! 05184 Count total number of places behind ALL Decimals
Multiplying Decimals - Steps 4 . 32 x 0.012 864 + 4320 00000 05184 . 05184 Place decimal that many places left.
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)