Properties of Numbers SOL 8.15C Zero Property of Multiplication Distributive Property THE END! Associative Property of Multiplication Additive Identity Associative Property

of Addition TSWBAT Commutative Property of Multiplication Commutative Property of Addition Objectives Define, recognize, apply, and exemplify the following number properties:

commutative property of addition

commutative property of multiplication

associative property of addition

associative property of multiplication

additive identity

multiplicative identity

zero property of multiplication

distributive property. You can add numbers in any order

Remember: commuting means

moving around You can multiply

numbers in any order When only adding, you can group any numbers together

Remember: Your GROUP of friends is who you ASSOCIATE with When only multiplying, you can group any numbers together Zero is the additive identity.

The sum of any number and zero

is equal to that number The product of any number and zero is equal to zero. When you multiply a number times a sum or difference, you can find the sum or difference first and then multiply OR you can multiply by each number in the sum or difference and then add or subtract. Commutative Property of

Addition Example A + B = B + A Commutative Property of Multiplication Example A*B = B*A Associative Property

of Addition Example A + (B + C) = (A + B) + C Associative Property of

Multiplication Example A*(B*C) = (A*B)*C Additive Identity

Example A + 0 = A Multiplicative Identity One is the multiplicative identity.

The product of any number and one is equal to that number. Multiplicative Identity

Example A*1 = A Zero Property of

Multiplication Example A*0 = 0 Distributive Property Example A*(B + C) = A*B + A*C

OR

A*(B - C) = A*B - A*C

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# Properties of Numbers

SOL 8.15C

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