When we have to simplify algebraic expressions, we can often make the work easier by applying the Commutative or Associative Property first instead of automatically following the order of operations. ...When we have to simplify algebraic expressions, we can often make the work easier by applying the Commutative or Associative Property first instead of automatically following the order of operations. No matter what you are doing, it is always a good idea to think ahead. When simplifying an expression, think about what your steps will be. For example, when adding and subtracting three or more terms involving decimals, look for terms that combine to give whole numbers.