# Rule of Algebra for (5-x)+0

what is the rule used for the following problem? (5-x)+0=5-x

### Comments for Rule of Algebra for (5-x)+0

 May 24, 2012 Rule of Algebra for (5-x)+0 by: Staff Question: what is the rule used for the following problem? (5-x)+0=5-x Answer: (5 - x) + 0 = 5 - x (1) The parentheses used on the left side of the equation is an application of the ASSOCIATIVE PROPERTY OF ADDITION. The Associative Property of Addition states that any series of addends can be grouped in any way and added in any order without changing the results. 5 - x + 0 can be grouped in several different ways: (5 - x) + 0 5 + (- x + 0) (5 + 0) + (- x) (2) The “0” used on the left side of the equation is the ADDITIVE IDENTITY An additive identity is a number that can be added to any number without changing the value of that other number. The additive identity for the set of all real numbers is 0 (zero). The number 0 can be added to any real number without changing its value. (3) The “=” sign used in the equation shows that the equation is an EQUIVALENCE relation. Equivalence is an important math property. If an equivalence relation exists, substitution is possible. If two items are equivalent, one item can be replaced with the other, or vice versa. Thanks for writing. Staff www.solving-math-problems.com