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Hardin Middle School Math Cheat Sheets

www.jwilliamsmath.weebly.com

1. Commutative Property Numbers can be added or multiplied in any order and the answer is still the same. Examples: Commutative Property of Addition: 3 + 2 = 2 + 3 a + b = b + a Commutative Property of Multiplication: 5(4) = 4(5) ab = ba 2. Associative Property When adding OR multiplying 3 or more numbers, they can be grouped in any way

  Property, Associative, Associative property

Mathematics Florida Standards (MAFS) Grade 3

www.fldoe.org

(Commutative property of multiplication.) 3 × 5 × 2 can be found by 3 × 5 = 15, then 15 × 2 = 30, or by 5 × 2 = 10, then 3 × 10 = 30. (Associative property of multiplication.) Knowing that 8 × 5 = 40 and 8 × 2 = 16, one can find 8 × 7 as 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.)

  Property, Distributive, Associative, Distributive property, Associative property

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