Honors Algebra
Terms
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- Rational numbers
- anything you can write as a fraction
- counting or natural numbers
- all positive numbers not including zero (1,2,3...)
- commutative property
- a+b=b+a (when you change the order in which you multiply or add and get the same answer)
- non-integers
- all real numbers that are not integers (-1/2, .73, -.73, 1/2)
- Complex numbers
- all numbers
- imaginary numbers
- i=square root of a negative number (example)
- multiplicative identity
- (a)(1)=a (what you can multiply a number by so that the value stays the same)
- real numbers
- all numbers that are not imaginary
- Reflexive
- a=a (one value equals itself)
- Symmetric
- If a=b then b=a (when the value of two numbers is equal to the value of the same numbers)
- additive identity
- a+0=a (what you can add to the number so that it stays the same, add 0)
- Transitive
- If a=b and b=c then a=c ( when three values equal to each other)
- associative property
- a(bc)=(ab)c (when you switch where the parentheses and still get the same answer, multiplication and addition only)
- Integers
- all numbers that are not fractions (-3, -2, -1, 0, 1, 2, 3,)
- Additive inverse
- a+-a=0 (when you add the opposite and equal 0)
- distributive property
- a(b+c)=ab+ac
- Multiplicative inverse
- (a)(1/a)=0 (when you multiply by the reciprocal and equal 0)
- Irrational numbers
- anything you cannot write as a fraction
- whole numbers
- all positive numbers including zero (0,1,2,3...)