Name all of the most common math properties and what do they mean?

Answer 1

The nine most common properties are:

• Associative property of addition (a +b) + c = a + (b+c)
  
• Commutative property of addition a + b = b + a
  
• Additive identity property of 0 a + 0 = 0 + a = a
  
• Existence of additive inverses For every a there exists -a so that a + (-a) = (-a) + a = 0
  
• Associative property of multiplication (a x b) x c = a x (b x c)
  
• Commutative property of multiplication a x b = b x a
  
• Multiplicative identity property 1 a x 1 = 1 x a = a
  
• Existence of multiplicative inverses For every a ≠ 0 there exists 1/a so that a x 1/a = 1/a x a = 1
  
• Distributive property of multiplication over additions a x (b + c) = a x b + a x c