Names of Properties
Signs and Symbols
Examples of Properties
Description of Properties
Anything Goes
100
Adding a 0 does not change the number
What is additive inverse property
100
a+b = b+a
What is Commutative (Order) property of Addition
100
892 x 0 = 0
What is zero property of multiplication.
100
Multiplying any number by 1 does not change the number
What is Identity Property of Multiplication
100
2+2
What is 4
200
Changing the order of the addends does not change the sum
What is Commutative (Order) Property of Addition
200
ab=ba
What is Commutative (order) Property of Multiplication
200
9+0=9
What is Identity Property of Addition
200
The product of any number and 0 is 0
What is Zero Property of Multiplication
200
A term outside parenthesis must be distributed to every term inside the parentheses
What is Distributed Property
300
Changing the order of the factors does not change the product
What is Commutative (order) Property of Multiplication
300
a x 1 = a
What is Identity property of multiplication
300
575 x 1 =575
What is Identity Property of Multiplication
300
Adding the opposite (additive inverse) of a number to the number will give a sum zero.
What is Inverse property of addition?
300
55x0=0
What is Multiplicative Property of Zero
400
If you multiply a number by its reciprocal (multiplicative inverse) the product is 1
What is Inverse Property of Multiplication
400
(a+b) + c =a + (b+c)
What is Associative (grouping) Property of Addition
400
7 x 1/7 = 1
What is Multiplication Inverse
400
If two things are equal, then one can replace the other
What is Substitution Property of Equal
400
if a=b, b=c, then a=c
What is Transitive Property
500
Changing the grouping of three or more factors does not change the product
What is Associative (Grouping) Property of Multiplication
500
a+0=a
What is Identity Property of Addition
500
3 x (6+4)= (3 x 6) + (3 x 4)
What is Distribute Property of multiplication over addition
500
Something Always equal itself
What is Reflexive Property of equality
500
(8 x 3) x 7 = 8 x (7 x 3)
What is Associative (grouping) Property of Multiplication
M
e
n
u