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.
a ÷ 1 = a and 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:
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)
and
(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)
and
(b – c) x a = (b x a) – (c xa)
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.
Author
yasminekasra
ID
92559
Card Set
Operations Properties.txt
Description
Associative Property, Distribuitive Property, etc.