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Properties of Addition and Multiplication. Why is it important to recognize these properties? It helps us with mental math. It helps us recognize patterns in problems. It helps us solve problems faster!!!.
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Properties of Addition and Multiplication Why is it important to recognize these properties? It helps us with mental math. It helps us recognize patterns in problems. It helps us solve problems faster!!!
Inverse Operation PropertyInverse means opposite. Use the opposite operation to check solutions and find the value of variables. • Addition X+4=9 • Multiplication 8*x=32
Commutative PropertyIf the order of the addends or factors is changed, the sum or product stays the same. Addition 4+9=9+4 Multiplication 2x8=8x2
Associative PropertyThe way addends are grouped or factors are grouped does not change the sum or product. Addition (8+1)+5=8+(1+5) Multiplication (6x2)x4=6x(2x4)
Identity PropertyThe sum of zero and any number equals that number. The product of one and any number equals that number. Addition 6+0=6 Multiplication 5x1=5
Distributive PropertyMultiplying a sum by a number is the same as multiplying each addend in the sum by the number and then adding the products. Multiplication 3x(5+10)=(3x5)+(3x10)
Zero Property of MultiplicationThe product of any number and zero is zero. Multiplication 12x0=0
Properties by D. Fisher
Which Property? (2 + 1) + 4 = 2 + (1 + 4) Associative Property of Addition
Which Property? 3 + 7 = 7 + 3 Commutative Property of Addition
Which Property? 8 + 0 = 8 Identity Property of Addition
Which Property? 6 • 4 = 4 • 6 Commutative Property of Multiplication
Which Property? 17 + (-17) = 0 Inverse Property of Addition
Which Property? 2(5) = 5(2) Commutative Property of Multiplication
Which Property? 3(2 + 5) = 3•2 + 3•5 Distributive Property
Which Property? 6(7•8) = (6•7)8 Associative Property of Multiplication
Which Property? 5 • 1 = 5 Identity Property of Multiplication
Which Property? 1(-9) = -9 Identity Property of Multiplication
Which Property? 3 + (-3) = 0 Inverse Property of Addition
Which Property? 1 + [-9 + 3] = [1 + (-9)] + 3 Associative Property of Addition
Which Property? -3(6) = 6(-3) Commutative Property of Multiplication
Which Property? -8 + 0 = -8 Identity Property of Addition
Which Property? 3•7 – 3•4 = 3(7 – 4) Distributive Property
Which Property? 6 + [(3 + (-2)] = (6 + 3) + (- 2) Associative Property of Addition
Which Property? 7 + (-5) = -5 + 7 Commutative Property of Addition
Which Property? -3(5 • 4) = (-3 • 5)4 Associative Property of Multiplication
Which Property? -8(4) = 4(-8) Commutative Property of Multiplication
Which Property? 2x + 3 = 3 + 2x Commutative Property of Addition
Which Property? ab = ba Commutative Property of Multiplication
Which Property? a + 0 = a Identity Property of Addition
Which Property? a(bc) = (ab)c Associative Property of Multiplication
Which Property? a•1 = a Identity Property of Multiplication
Which Property? a +b = b + a Commutative Property of Addition
Which Property? a + (b + c) = (a +b) + c Associative Property of Addition