# Properties of Arithmetic

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a + b = b + a
2. Associative property of multiplication
ab = ba
(a + b) + c = a + (b + c)
4. Associative property of multiplication
(ab)c = a(bc)
5. Distributive property
a(b + c) = ab + ac
6. Reflexive property
• a = a
• any number is equal to itself.
7. Transitive property
• If a = b and b = c, then a = c.
• This property also takes the form of the substitution property, which says that if b = c, you can substitte c for b.
8. Symmetric property
If a = b, then b = a
If a = b, then a + c = b + c
10. Subtraction property
If a = b, then a - c = b - c
11. Multiplication property
If a = b the ac = bc.

also, if a = b and c = d the ac = bd
12. Division property
if a = b, then a/c = b/c provided c does not = 0
13. Square root property
If a square = b the a = the square root of b
14. Zero product property
if ab = 0, then a = 0 or b = 0 or both a and b = 0
 Author: julidei ID: 6258 Card Set: Properties of Arithmetic Updated: 2010-02-07 17:32:55 Tags: geometry Folders: Description: ch 13 Show Answers: