Card Set Information
Associative Property, Distribuitive Property, etc.
a+b = b+a
Commutative Property of Addition
the order in which two whole numbers are added does not change their sum.
a x b = b x a
Commutative Property of Multiplication
the order in which two whole numbers are multiplied does not change their product.
(a+b) + c = a + (b+c)
Associative Property of Addition
when the grouping of addends is changed, the sum is the same.
(a x b) x c = a x (b x c)
Associative Property of Multiplication
the way factors are grouped does not change the product.
a + 0 = a and 0 + a = a
The Addition Property of Zero
The sum of any whole number and 0 is the same whole number. 0 is called the "identity element for addition".
a x 1 = a and 1 x a = a
Multiplication Property of One
the product of any whole number and 1 is the same whole number.
1 is the identity element for multiplication.
a x 0 = 0 and 0 x a = 0
Multiplication Property of Zero
the product of any whole number and 0 is 0.
a - 0 = a and a - a = 0
Subtraction Property of 0
The difference of any whole number and 0 is the same whole number. AND the difference of any whole number and itself is 0.
÷ 1 = a
a ÷ a =1
Division Property of One
A whole number divided by 1 will always result in the quotient being the same whole number as the dividend. AND a whold number divided by itself will always result in 1.
For any whole number a, except 0:
÷ a= 0
Division Property of Zero
0 divided by any whole number will always result in 0.
a x (b + c) = (a x b) + (a x c)
(b + c) x a = (b x a) + (c x a)
Distributive Property of Multiplication with Respect to Addition
multiplying a sum by a number is the same as multiplying each addend in the sum by the number and then adding the products.
a x (b – c) = (a x b) – (a x c)
(b – c) x a = (b x a) – (c x
Distributitve Property of Multiplication with Respect to Subtraction
multiplying a difference by a number is the same as multiplying each number from the subtraction problem by the factor and then subtracting the products.