Front | Back |
Changing the ORDER of the numbers you are adding or multiplying does NOT change your answer
|
Communitive Property of + and x
|
Changing the GROUPING of the numbers you are adding or multiplying does NOT change the sum or the product of these numbers
|
Associative p. of + and x
|
The SUM of any number and 0 is the original number (0 is called the additive identity)
the PRODUCT of any number and 1 is the original number (1 is called the multiplicative identity)
|
Identity P. of + and x
|
Every number has an additive inverse (opposite) and the number and its additive inverse have a sum of 0
Every number has a multiplicative inverse (reciprocal) and their product will be 1
|
Inverse p. of + and x
|
The multiplier of a sum or difference of real numbers can be distributed as a multiplier to each of the numbers in parantheses, and the multiplying can then be done first before the adding or subtracting. Either way the problem is done will result the same answer
|
Distributive property
|
0 times any number = 0
|
Multiplication Property of 0
|
If you multiply a real number by -1, you get the opposite of that number.
|
Multiplication Property of -1
|
Every real number is equal to itself.
|
Reflexive Property
|
An equation is reversible
Keywords: If, then
|
Symmetric Property
|
If two real numbers are equal to a 3rd real number, they are equal to each other as well.
Keywords: if, and, then
|
Transitive Property
|