Question 8129: (b+22) +3= b+ (22+3)
Answer by glabow(165)   (Show Source):
You can put this solution on YOUR website! You have two concepts together in this question.
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).
(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.
b + (22+3) is an expression. By doing the addition it becomes b + 25.
Second, two expressions, which you claim to be equal, are written with an equal size between them. This is an equation.
(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.
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:
(a + b) + c = a + (b + c)
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