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Basic Rules Of Algebra
by Emily Davis
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Basic Rules Of Algebra

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Commutative Property of Addition

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We can add numbers in any order

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A+B=B+A

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X+2=2+X

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Commutative Property of Multiplication

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We can multiply numbers in any order

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AB=BA

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X*2=2*X

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Associative Property of Addition

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We can group numbers in a sum anyway we want and get the same answer

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(A+B)+C=A+(B+C)

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(X+2)-3Y=X+(2-3Y)

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Associative Property of Multiplication

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We can group numbers in a product any way we want and get the same answers

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(AB)C=A(BC)

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(X*2)3Y=X(2*3Y)

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Distributive Property

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When we are adding and multiplying with a parenthesis, we can distribute the multiplication through the addition

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A(B+C)=AB+AC

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X(2+3Y)=2X+3XY

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Additive Identity Property

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If we add 0 to any number we will end up with the same number

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A+0=A

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X+0=X

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Multiplicative Identity Property

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If we multiply 1 to any number we will end up with the same number

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A*1=A

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X*1=X

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algebra

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Addition

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Associative Property of Addition Examples

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