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Math Properties
1-3 properties of equality and numbers
| Question | Answer |
|---|---|
| Reflexive property | any quantity is equal to itself ex. 7=7 |
| symmetric property | order around the qual sign changes ex. if a=b then b=a |
| transitive property | chains equality together ex. if a=b and b =c, then a=c |
| substitution property | if 7=b, then a may be replaced b anywhere in an expression |
| additive identity | adding zero to any real number does not change its value ex. 9+0=9 |
| additive inverse | a number and its opposite add up to give zero, canceling each other out (ex. 14 + (-14) = 0) |
| multiplicative identity | multiplying any number by one leaves it unchanged |
| zero property | multiplying any real number by 0 gives the answer 0 |
| multiplicative inverse | two numbers (fractions) whose product is one are called reciprocals (ex. 4/5 x 5/1=1) |
| commutative property | states that changing the order of numbers does not change their sum or product (ex. a+b=b+c) |
| associative property | states that changing the grouping of numbers does not change their sum or product ex. (a+b) + c= a + (b+c) |
| subtraction and division are _____ commutative | not |
Created by:
Emmalyn Cruse
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