Properties of Real Numbers Commutative Associative Distributive Commutative
Properties of Real Numbers Commutative Associative Distributive
Commutative Properties Changing the order of the numbers in addition or multiplication will not change the result. Commutative Property of Addition states: 2 + 3 = 3 + 2 or a + b = b + a. Commutative Property of Multiplication states: 4 • 5 = 5 • 4 or ab = ba.
Associative Properties Changing the grouping of the numbers in addition or multiplication will not change the result. Associative Property of Addition states: 3 + (4 + 5)= (3 + 4)+ 5 or a + (b + c)= (a + b)+ c Associative Property of Multiplication states: (2 • 3) • 4 = 2 • (3 • 4) or (ab)c = a(bc)
Distributive Property Multiplication distributes over addition.
Let’s play “Name that property!”
State the property or properties that justify the following. 3+2=2+3 Commutative Property
State the property or properties that justify the following. 3(x – 10) = 3 x – 30 Distributive Property
State the property or properties that justify the following. 3 + (4 + 5) = (3 + 4) + 5 Associative Property
State the property or properties that justify the following. (5 + 2) + 9 = (2 + 5) + 9 Commutative Property
2. 3+7=7+3 Commutative Property of Addition
5. 6 • 4=4 • 6 Commutative Property of Multiplication
Which Property? 5(2 x + 7) = 10 x + 35
Which Property? 5(2 x + 7) = 10 x + 35 The Distributive Property
Which Property? 21 + 6 = 6 + 21
Which Property? 21 + 6 = 6 + 21 Commutative Property of Addition
Which Property? (10 3) 7 = 10 (3 7)
Which Property? (10 3) 7 = 10 (3 7) Associative Property of Multiplication
Which Property? 4(n - 8) = 4 n - 32
Which Property? 4(n - 8) = 4 n - 32 The Distributive Property
Which Property? (34)(6)=(6)(34)
Which Property? (34)(6)=(6)(34) Commutative Property of Multiplication
Which Property? (8 + 4) + 1 = 8 + (4 + 1)
Which Property? (8 + 4) + 1 = 8 + (4 + 1) Associative Property of Addition
Which Property? 3 9=9 3
Which Property? 3 9=9 3 Commutative Property of Multiplication
Which Property? 3+4=4+3
Which Property? 3+4=4+3 Commutative Property of Addition
Which Property? 31=3
Which Property? 31=3 Identity Property of Multiplication
Which Property? (2 + 6) + 3 = 2 + (6 + 3)
Which Property? 5(9 w + 1) = 45 w + 5
Which Property? 5(9 w + 1) = 45 w + 5 The Distributive Property
Which Property? (2 + 6) + 3 = 2 + (6 + 3) Associative Property of Addition
Which Property? 14 2 = 2 14
Which Property? 14 2 = 2 14 Commutative Property of Multiplication
Which Property? 91=9
Which Property? 91=9 Identity Property of Multiplication
Which Property? (18 75) 4 = 18 (75 4)
Which Property? 3(6 k - 9) = 18 k - 27
Which Property? 3(6 k - 9) = 18 k - 27 The Distributive Property
Which Property? (18 75) 4 = 18 (75 4) Associative Property of Multiplication
Which Property? 11 + 0 = 11
Which Property? 11 + 0 = 11 Identity Property of Addition
Which Property? 4 2=2 4
Which Property? 4 2=2 4 Commutative Property of Multiplication
Which Property? (4 + 7)(9)=(9)(4 +7)
Which Property? (4 + 7)(9)=(9)(4 +7) Commutative Property of Multiplication
Which Property? (4 + 7) + 2= (7 + 4) + 2
Which Property? (4 + 7) + 2= (7 + 4) + 2 Commutative Property of Addition
Which Property? 3(2 x - 9) = 6 x - 27 The Distributive Property
Properties of Real Numbers Commutative Associative Distributive
- Slides: 51