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ExampleProperty Name
(a+b)+ c = a +(b+c) Associative property of Addition
a+b=b+a Commutative property of Addition
0+a = a+0 = a Additive identity
a+(-a)= 0 and (-a)+a = 0 Additive Inverse
If a = b, then a+c = b+c Addition property of equality
(ab)c = a(bc) Associative property of multiplication
ab = ba Commutative property of multiplication
a . 1 = a and 1 . a = a multiplicative identity
a . (1/a) = 1 and (1/a) . a = 1 multiplicative inverse
if a = b, then ac = bc multiplication property of equality
a(b+c) = ab + ac and (b+c)a = ba + ca distributive property
a = a Reflexive property of equality
if a = b, then b = a symmetric property of equality
if a = b, and b = c, then a = c transitive property of equality
if a = b, and c = b, then a = c substitution property of equality
a(-1) = -a and (-1)a = -a multiplicative property of -1
a . 0 = 0 and 0 . a = 0 Multiplicative property of 0
a - b = a + (-b) relationship between Addition and Subtraction
(a/b) = a . (1/b) relationship between Multiplication and Division
1/ab = (1/a) . (1/b) property of the reciprocal of a product
(-a)b = -ab, a(-b) = -ab, (-a)(-b) = ab property of negatives in products
-(a+b) = -a + (-b) property of negative of a sum
Sum (or two differences) of 2 real numbers equals a real number product Closure properties
Created by: 100001427280551