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Lesson 2.3 Properties

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5 + 10 = 15 4 x 5 = 20 addendSUM factorPRODUCT addend factor

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Five Properties 1.Commutative 2. Associative 3. Distributive 4. Identity Property of Multiplication 5. Identity Property of Addition

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Commutative Property The property that states that if the order of addends or factors is changed, the sum or product is the same. 6 +2 = 2 +6 (both = 8) 2 x 5= 5 x 2 (both = 10)

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Associative Property (8 + 5) + 4 = 8 + (5 + 4) both = 17 (6 x 7) x 2 = 6 x (7 x 2) both = 84 The property that states that whatever way addends or factors are grouped does not change the sum or the product.

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Distributive Property The property that states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products. 4 x (7 + 3) = (4 x 7) + (4 x 3) both = 40 7 x (8 + 4) = (7 x 8) + (7 x 4) both = 84

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Identity Property of Multiplication The property that states that the product of any number and 1 is that number. 5 x 1 = 5 12 x 1 = 12 1 x 9 = 9

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Identity Property of Addition The property that states that the sum of zero and any number is that number. 4 + 0 = 4 7 + 0 = 7 0 + 34 = 34

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CAN YOU FIND IT? Look under your desk! Place your card under the correct property on the board!

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Practice #1: Properties Cut & Paste (check in with teacher) Practice #2: Properties Packet (check in with teacher) Let’s Practice EARLY FINISHERS: Gumball Math Hidden Messages worksheet

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