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Algebra Properties
Flash Cards for studying math properties used in equation solving
39
Mathematics
8th Grade
11/24/2013

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Cards

Term
Addition Property of Zero (in symbols)
Definition
a+0=0
Term
Addition Property of Zero (in words)
Definition
Adding 0 to any number doesnt change the value
Term
Multiplication Property of Zero (symbols)
Definition
a•0=0
Term
Multiplication Power of Zero (words)
Definition
Multiplying any number by zero equals zero
Term
Property of Equality (words)
Definition
The equation sign in an equation is like a scale, you must keep both sides balances to keep the equation true
Term
Property of Equality for Addition (words)
Definition
If you add the same number to both sides, the equation is still true
Term
Property of Equality for Addition (symbols)
Definition
If a=b, then a+c=b+c
Term
Property of Equality for Subtraction (words)
Definition
If you subtract the same number from both sides of an equation the equation is still true
Term
Property of Equality for Subtraction (symbols)
Definition
if a=b, then a-c=b-c
Term
Property of Equality for Multiplication (words)
Definition
If you multiply the same number to both sides of an equation, the equation is still true
Term
Property of Equality for Multiplication (symbols)
Definition
If a=b, then a•c=b•c
Term
Property of Equality for Divsion (words)
Definition
If you divde the same number to both sides of an equation, the equation is still true
Term
Property of Equality for Divsion (symbols)
Definition
If a=b, then (a/c)=(b/c) as long as c is not zero
Term
Reflexive property of Equality (words)
Definition
Anything is equal to itself. The equal sign is like a mirror and it reflects the original to the other side.
Term
Reflexive property of Equality (symbol)
Definition
a=a
Term
Symetric Property of Equality (words)
Definition
It doesnt matter what side of the equal sign something is on.
Term
Symetric Property of Equality (symbols)
Definition
If a=b, then b=a
Term
Transitive Propety of Equality (words)
Definition
Two things equal to the same third thing are equal to each other.
Term
Transitive Propety of Equality (symbols)
Definition
If a=b and b=c, then a=c
Term
Associative Property of Addition (words)
Definition
When we add 3 or more numbers, changing the grouping of the numbers does not change the value
Term
Associative Property of Addition (symbols)
Definition
(a+b)+c=a+(b+c)
Term
Associative Property of Multiplication (symbols)
Definition
(a•b)•c=a(b•c)
Term
Associative Property of Multiplication (words)
Definition
When we multiply three or more numbers, changing the grouping of the numbers does not change the total
Term
Commutative Property of Multiplication (symbols)
Definition
a•b=b•a
Term
Commutative Property of Multiplication (words)
Definition
When we multiply, the product is the same regardless of the order we use
Term
Commutative Property of Addition (words)
Definition
When we add, the sum is the same regardless of the order we use
Term
Commutative Property of Addition (symbols)
Definition
a+b=b+a
Term
Distributive Property (words)
Definition
A number times the sum of two numbers is the same as mutiplying by both things being added first and then adding them
Term
Distributive Property (symbols)
Definition
a(b+c)=a•b+a•c
Term
Identity Property of Addition (words)
Definition
The sum of a number and zero is the original number
Term
Identity Property of Addition (symbols)
Definition
a+0=a
Term
Identity Property of Multiplication(symbols)
Definition
a•1=a
Term
Identity Property of Multiplication(words)
Definition
The product of any number and 1 is the original number
Term
Additive Inverse of a number (words)
Definition
The additive inverse of a number is the negative of the original number
Term
Additive Inverse of a number (symbols)
Definition
The additive inverse of a is -a so that a+-a=0
Term
Multiplicative Inverse of a number (symbols)
Definition
a• (1/a)=1
Term
Multiplicative Inverse of a number (words)
Definition
Every number has a reciprical so that a number multiplied by its inverse equals 1
Term
Definition of Subtraction (words)
Definition
Subtracting a number is the same as adding the negative
Term
Definition of Subtraction (symbols)
Definition
a-b= a+ (-b)
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