Reading...
Play button
Play button
Use LEFT and RIGHT arrow keys to navigate between flashcards;
Use UP and DOWN arrow keys to flip the card;
H to show hint;
A reads text to speech;
16 Cards in this Set
- Front
- Back
|
Commutative Property
for Addition and Multiplication |
3 + 8 = 8 + 3 or x + y = y + x
3(8) = 8(3) or xy = yx The terms move! |
|
|
Associative Property
for Addition and Multiplication |
(2 + 14) + 6 = 2 + (14 + 6)
[(13)(2)](5) = (13)[(2)(5)] |
|
|
Distributive Property
|
2(x + 3) = 2x + 6
x(y + z) = xy + xz 3x + 12 = 3(x + 4) |
|
|
Additive Identity
|
Zero is the additive Identity. Add zero to any number and you get that number.
5 + 0 = 5 |
|
|
Multiplicative Identity
|
One is the Multiplicative Identity. One multiplied by any numbers gives you the original number.
8(1) = 8 |
|
|
Additive Inverse
|
Also known as opposites! Add a number and its opposite together and you get zero.
5 + (-5) = 0 |
|
|
Multiplicative Inverse
|
Also known as the reciprocal. Multiply any number, except zero, by its reciprocal and you get one.
(3)(1/3) = 1 (2/5)(5/2) = 1 |
|
|
Multiplication Property of -1
|
-1 times any number is the opposite of that number.
7(-1) = -7 -4 = (-1)(4) |
|
|
Multiplication Property of 0
|
Any number times zero is zero.
3(0) = 0 |
|
|
Transitive Property
|
If one number equals a second and the second equals a third then the first equals the third
If a = b and b = c then a = c |
|
|
Symmetric Property
|
Sides of an equation can be reversed without affecting their equality.
If x = y then y = x If x = 1 then 1 = x If 2x + 3 = 5 then 5 = 2x + 3 |
|
|
Reflexive Property
|
A number equals itself.
x = x or 5 = 5 |
|
|
Addition Property of Equality
|
If two numbers are equal, you can add the same number to both without changing their equality.
If x = y then x + 3 = y + 3 2x - 3 = 7 then 2x = 10 (add 3 to both sides) Same with Subtraction |
|
|
Multiplication Property of Equality
|
If two numbers are equal, you can multiply both by the same number and not change their equality.
If x = y then 3x = 3y If x/5 = 2 then x = 10 (multiply both sides by 5) Same with Division! |
|
|
Definition of Subtraction
|
All subtraction problems can be changed to addition problems.
4 - 6 = 4 + (-6) Keep, Change, Opposite! |
|
|
Definition of Division
|
All division problems can be changed to multiplication problems.
x/4 = x * (1/4) |
