Commutative property
If the order of the numbers is the ONLY change
(Change Order)
Addition & Multiplication
Associative Property
Parentheses change
(Groups Change)
Addition & Multiplication
Distributive Property
“give out(multiply)the number outside the
parentheses times everything on the inside”
Identity Property
“The term must remain unchanged”
Addition & Multiplication
Additive Inverse
“Opposites”
Multiplicative Inverse
“reciprocal”
Two or more numbers can be added or multiplied in
any order without changing the sum or product
For all real numbers, when adding or multiplying,
the grouping of the numbers can be changed
without changing the sum or the product.
.
To multiply a sum by a number, multiply each
addend of the sum by the number outside the
parentheses
In addition adding 0 to a number leaves the number
unchanged. In multiplication, multiplying a number
by 1 leaves it unchanged.
In addition, the number you must add to get a sum
of 0. Also known as the opposite.
In multiplication, the number you must multiply by
to get a product of 1. Also known as the reciprocal