• Mathematical Properties
 Commutative Property of Addition Add numbers in any order- moving numbers (flip flop) 5 + 1 = 1 + 5 a + b = b + a Commutative Property of Multiplication Multiply numbers in any order- moving numbers (flip flop) 5 · 8 = 8 · 5 ab = ba Associative Property of Addition Group numbers when adding.  The numbers stay in the same order, but the grouping changes. (9+3) + 2 = 9 + (3+2) (a + b) + c = a (b + c) Associative Property of Multiplication Group numbers when multiplying.  The numbers stay in the same order, but the grouping changes. (4· 9) · 7 = 4 · (7· 9) (ab)c = a(bc) Identity Property of Zero The sum of any number and zero is equal to that number 9 + 0 = 9 a + 0 = a Identity Property of One The product of any number and 1 is equal to that number 6 · 1 = 6 a · 1 = a Property of Zero The product of any number and zero is zero 5 · 0 = 0 a · 0 = 0 Distributive Property When multiplying a number times a sum, you can find the sum first and then multiply, or multiply each number in the sum and then add. 6 · (4+5)= 6· 4 + 6· 5 a(b + c) = ab + ac