Term

Definition
The order in which three or more real numbers are added or multiplied can be grouped in any fashion giving the same result.
(a+b)+c = a+(b+c) or (ab)c= a(bc) 


Term

Definition
When multiplying a term by a quantity containing a sum of two or more terms, each item in the sum must be multiplied by the outside term.
a(b+c) = ab+ac 


Term
Identity Property of Addition and Multiplication 

Definition
In addition, adding zero yields the identity of the original number. In multiplication, multiplying by 1 yields the identity of the original number
a+0 = a or a(1) = a 


Term

Definition
A number with the same distance from zero. Opposites are considered additive inverses.
a and a are opposites and additive inverses



Term

Definition
two numbers who have a sum of zero. Additive inverses are opposites.
a+ (a) = 0 


Term

Definition
two numbers that when multiplied yield a result of 1. These are also called reciprocals.
(a/b)(b/a) = 1 or a(1/a) = 1 


Term

Definition
two numbers whose product is 1.
a/b and b/a ; a and 1/a are reciprocals 


Term

Definition
The order in which two real numbers are added or multiplied gives the same result.
a+b=b+a or a(b) = b(a)



Term

Definition
The distance a number is away from zero.
a= a or a = a 


Term

Definition
A mathematical statement that two quantities are greater, less, greater than or equal to, or less than than or equal to each other.
a > 5 or a < 3 


Term

Definition
A mathematical statement in which two quantities are expressed as equals.
a + 4 = 3 

