| A | B |
| additive identity property | 0 - the sum of any number and 0 is equal to the number |
| multiplicative property of 0 | The product of any number and 0 is equal to 0 |
| multiplicative identity property | 1 - The product of any number times 1 is the number |
| multiplicative inverse property or reciprocals | two numbers whose product is 1 |
| reflexive property | any quality is equal to itself |
| symmetric property | If a =b, then b=a |
| equivalent expression | expressions that denote the same number |
| transitive property | If a=b, and b=c, then a=c |
| substitution property | A quantity may be substituted for its equal value in any expression |
| closure property of addition | the sum of any two whole numbers is always a whole number |
| co-efficient | the numerical factor in an expression |
| commutative property | The order in which you add or multiply numbers does not change their sum or product. |
| associative property | grouping parts of an equation does not change their sum or product |
| conditional statement | if A (hypothesis) then B (conclusion) |
| deductive reasoning | the process of using facts to reach a conclusion |
| Distributive Property | the property used to multiply a single term and two or more terms inside a set of parentheses |