Distributive Property of Multiplicationover Addition or Subtraction
- Multiplication by the same factor may be distributed over two or more addends. This property allows you to multiply each term inside a set of parentheses by a term inside the parentheses. *In many cases this is an excellent vehicle for mental math. In Arithmetic: OVER ADDITION 5(90 + 10) = (5 x 90) + (5 x 10) OVER SUBTRACTION 5(90 - 10) = (5 x 90) - (5 x 10) In Algebra: OVER ADDITION a(b + c) = (a x b) + (a x c) or a(b + c) = ab + ac OVER SUBTRACTION a(b - c) = (a x b) - (a x c)
Distributive Property of Multiplicationover Addition or Subtraction