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