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Terms
Associative Property of Addition
-
For any numbers a, b, and c, it is
true that (a + b) + c = a + (b + c).
Associative Property of Multiplication
-
For any numbers a, b, and c, it
is always true that (a×b)×c = a×(b×c).
Commutative Property of Addition
-
For any numbers a and b, it is true that
a + b = b + a.
Commutative Property of Multiplication
-
For any numbers a and b, it is true
that a×b = b×a.
Distributive Property of Multiplication
-
For any numbers a, b, and c, it is true
that a×(b + c) = (a×b) + (a×c).
Expression
-
A representation of a number. 5 + 3 and 10 - 2 are both expressions that represent the number 8.
Identity Property of Addition
-
A number does not change when 0 is added: for any number
a, it is true that a + 0 = a. It is also true that 0 + a = a.
Identity Property of Multiplication
-
A number does not change when it is multiplied by 1: for any
number a, it is true that a×1 = a. It is also true that 1×a = a.
Inverse Operation
-
An operation that "reverses" another operation. Addition and subtraction are
inverses of each other, as are multiplication and division.
Order of Operations
-
The order in which to carry out operations when evaluating an expression--
parenthesis, multiplication, division, addition, subtraction.
Zero Product Property
-
Of multiplication. For any number a, it is true that a×0 = 0 and 0×a = 0.
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