document.write( "Question 8129: (b+22) +3= b+ (22+3) \n" ); document.write( "
Algebra.Com's Answer #4461 by glabow(165)![]() ![]() ![]() You can put this solution on YOUR website! You have two concepts together in this question. \n" ); document.write( "First, an expression is a combination of numbers, variables, and operators that can be evaluated to a single value. The left hand side of the equation is an expression (as is the right hand side). \n" ); document.write( "(b+22) + 3 is an expression. By doing the addition it becomes b + 25, which is all you can do until you know the value of b. So that is the evaluation of the expression. \n" ); document.write( "b + (22+3) is an expression. By doing the addition it becomes b + 25. \n" ); document.write( "Second, two expressions, which you claim to be equal, are written with an equal size between them. This is an equation. \n" ); document.write( "(b+22) + 3 = b + (22+3) is an equation. If it is true, the evaluation of each side will be the same value. We see in this case that it is true. \n" ); document.write( "This means that you can group operands of addition in either order (the associativity rule) and the result will be the same. More generally, it would be written like this: \n" ); document.write( "(a + b) + c = a + (b + c) \n" ); document.write( " \n" ); document.write( " |