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## Properties of Numbers

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**Properties of Numbers**Flipbook**Addition and Multiplication Properties of Numbers**Property of Zero Commutative Property Associative Property Identity Property Distributive Property**Commutative Property**Addition Multiplication *Think of a commute to work – from home to work and work to home - order switched, same distance (same answer)**Associative Property**Addition Multiplication *Think of associate – at a party it doesn’t matter which group of friends you talk to first. In the end you will talk to everyone. - Talk to everyone (same final answer)**Identity Property**Addition Multiplication *Think of your identity – No matter what you change about yourself, you are still you. • Adding 0 to 5 won’t change 5’s identity. • Multiplying 1 to 7 won’t change 7’s identity.**Distributive Property**Multiplication distributed over addition. For any numbers a, b, and c, a(b + c) = ab + ac Example: 8(6 + 7) = 8 · 6 + 8 · 7 OR Multiplication distributed over subtraction. For any numbers a, b, and c, a(b – c) = ab – ac Example: 6(5 – 2) = 6 · 5 – 6 · 2