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Basic Rules Of Algebra
by Emily Davis
# Basic Rules Of Algebra

## Commutative Property of
Addition

### We can add numbers in
any order

### A+B=B+A

### X+2=2+X

## Commutative Property of
Multiplication

### We can multiply numbers in any order

### AB=BA

### X*2=2*X

## Associative Property of Addition

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

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

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

## Associative Property of Multiplication

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

### (AB)C=A(BC)

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

## Distributive Property

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

### A(B+C)=AB+AC

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

## Additive Identity Property

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

### A+0=A

### X+0=X

## Multiplicative Identity Property

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

### A*1=A

### X*1=X

## algebra

## Addition

## Associative Property of Addition
Examples

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Communicative Property of Addition

Commutative Property of Multiplication Example

Associative Property of Addition Exmaple

Associative Property of Multiplication Example

Distributive Property Example

Additive Identity Property Example

Multiplicative Identity Property Example