Properties of Algebra By: Grayson W.

Commutative Property When you add or multiply two numbers, it does not matter what order they are in. The sum and product are the same. Commutative Property does not work with subtraction and division. Example #1: 7+8=8+7 Example #2: 5x9=9x5

Grouping 2 of 3 numbers in parenthesis with a sum or product in any way will give the same answer. Example #1: 3x+(7x+5x)=7x+(5x+3x) Example #2: a(bc)=(ab)c

Identity Properties Addition: Any number added to zero is the same number. Multiplication: Any number multiplied by one is the number itself. Example #1: 9y+0=9y Example #2: 14px1=14

DISTRIBUTIVE PROPERTY Multiplying a sum by a number and getting the same answer if you multiply each number and then add the products together. Example #2: 2(5+1) = 2 x 5+2 x 1=12 Example #3: (4+2 ) x (9+1)=4(9+1) x 2(9+1)=45

Equality Property Having two equal numbers and doing the same operation (adding a number, subtracting a number, multiplying a number, and dividing a number) on them would get you the same answer. Example: a=b, then a+c=b+c Example: r=i, then r-7=i-7 Example: d=t, then d x 5=t x 5 Example: x=y, then x÷7=y÷7

Inverse Property When you put any number with its inverse, you will get its identity. Example: 9+(-9)=0 Example; 9x(1/9)=1