Properties of Real Numbers

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Properties of Real Numbers : 

Properties of Real Numbers Jasmine Holmes

Commutative Property of Addition : 

Commutative Property of Addition a + b = b + a Example: 5 + 3 = 3 + 5

Commutative Property of Multiplication : 

Commutative Property of Multiplication a x b = b x a Example: 2 X 4 = 4 x 2

Associative Property of Addition : 

Associative Property of Addition (a + b)+ c = a + (b + c) Example: (3 + 5) + 6 = 3 (5 + 6)

Associative Property of Multiplication : 

Associative Property of Multiplication (a x b) x c = a x (b x c) Example: (4 x 2) x 3 = 4 x (2 x 3)

Distributive Property : 

Distributive Property a+(b+c) = ab + bc a(b-c) = ab - ac Examples: 2+(5+6) = 2*5 + 5*6 5(6-2) = 5*6 – 5*2

Inverse Property of Addition : 

Inverse Property of Addition For every a, there is an additive inverse –a so a (-a) = 0 Example: 12- (12) = 0

Inverse Property of Multiplication : 

Inverse Property of Multiplication For every a, (a≠), there is a multiplication inverse 1/a so a(1/a) +1. Example: 9* 1/9 = 9

Multiplication Property of Zero : 

Multiplication Property of Zero For every real number n, n = 0 Examples: 12 * 0 = 0 - 7 * 0 = 0

Identity Property of Addition : 

Identity Property of Addition a + 0 = a Example: 2 + 0 = 2

Identity Property of Multiplication : 

Identity Property of Multiplication a * 1 = a Example: 4 * 1 = 4

Multiplication Property of -1 : 

Multiplication Property of -1 For every real number n, -1 * n = -n Example: -1 (12) = -12