Download Associative Property

Associative Property
The Associative Property rule basically means grouping.
The associative property of addition says that we can group numbers
in a sum in any way we want and still get the same answer. The associative
property of multiplication says that we can group numbers in a product in
any way we want and still get the same answer.
Addition: a + (b + c) = (a + b) + c
Addition in numbers: 1 + (2 + 3) = (1+ 2) + 3
Multiplication: a(bc) = (ab)c
Multiplication in numbers: 2(3×4) = (2×3)4.
Distributive Property
You can remember distributive property, if you remember that
"multiplication distributes over addition".
Addition/Multiplication: a(b + c) = ab + ac
Addition/ Multiplication in numbers: 2(3 + 4) = 2×3 + 2×4.
Commutative Property
The Commutative Property rule refers to moving stuff around. When
someone refers to commutative property they want you to move stuff
around.
The commutative property of addition says that we can add numbers
in any order. The commutative property of multiplication says that we can
multiply numbers in any order we want without changing the answer.
Addition: a + b = b + a
Addition in numbers: 1 + 2 = 2 + 1
Multiplication: ab = ba
Multiplication in numbers: 2×3 = 3×2.
Identity Property
The identity property for addition says that zero added to any number
is the number itself. Zero is called the additive identity. The identity
property for multiplication says that the number one multiplied times any
number gives the number itself. The number one is called the multiplicative
identity.
Addition: 3x + 0 = 3x
Multiplication: 2c × 1 = 2c
Inverse Property
The Inverse Properties say that when a number is combined with its
inverse, it remains the same number.
The two types of inverses are additive and multiplicative.
Addition: (a + b) + c = a + (b + c)
Multiplication: a * (1/a) = 1
(a
0)
Equality Property
Addition: if a = b and c = d then a + c = b + d.
Subtraction: if a = b and c = d then a – c = b – d.
Multiplication: if a = b and c = d then ac = bd.
Division: if a = b then a/c = b/c.