# Operations Properties.txt

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1. a+b = b+a
• the order in which two whole numbers are added does not change their sum.
2. a x b = b x a
• Commutative Property of Multiplication
• the order in which two whole numbers are multiplied does not change their product.
3. (a+b) + c = a + (b+c)
• when the grouping of addends is changed, the sum is the same.
4. (a x b) x c = a x (b x c)
• Associative Property of Multiplication
• the way factors are grouped does not change the product.
5. 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".
6. 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.
7. a x 0 = 0 and 0 x a = 0
• Multiplication Property of Zero
• the product of any whole number and 0 is 0.
8. 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.
9. 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.
10. 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.
11. 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.
12. a x (b – c) = (a x b) – (a x c)

and

(b – c) x a = (b x a) – (c x a)

• 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 Updated: 2011-06-30 22:32:38 Tags: Math Properties Folders: Description: Associative Property, Distribuitive Property, etc. Show Answers: