Basic Rules Of Algebra
by Emily Davis
1. Commutative Property of Addition
1.1. We can add numbers in any order
1.1.1. Communicative Property of Addition
1.2. A+B=B+A
1.3. X+2=2+X
2. Commutative Property of Multiplication
2.1. We can multiply numbers in any order
2.1.1. Commutative Property of Multiplication Example
2.2. AB=BA
2.3. X*2=2*X
3. Associative Property of Addition
3.1. We can group numbers in a sum anyway we want and get the same answer
3.1.1. Associative Property of Addition Exmaple
3.2. (A+B)+C=A+(B+C)
3.3. (X+2)-3Y=X+(2-3Y)
4. Associative Property of Multiplication
4.1. We can group numbers in a product any way we want and get the same answers
4.1.1. Associative Property of Multiplication Example
4.2. (AB)C=A(BC)
4.3. (X*2)3Y=X(2*3Y)
5. Distributive Property
5.1. When we are adding and multiplying with a parenthesis, we can distribute the multiplication through the addition
5.1.1. Distributive Property Example
5.2. A(B+C)=AB+AC
5.3. X(2+3Y)=2X+3XY
6. Additive Identity Property
6.1. If we add 0 to any number we will end up with the same number
6.1.1. Additive Identity Property Example
6.2. A+0=A
6.3. X+0=X
7. Multiplicative Identity Property
7.1. If we multiply 1 to any number we will end up with the same number
7.1.1. Multiplicative Identity Property Example