2.3. Evaluation of expressions

When a number replaces each variable in an algebraic expression, the algebraic expression takes on a numerical value. The process for expression evaluation can be restated as follows:

1. Simplify any parenthesized sub-expression, starting from the innermost.
2. Evaluate exponentials and radicals (fractional exponents).
3. Evaluate each term from left to right.
4. Evaluate the expression from left to right.

2πr(h + 2r) using the distributive law
2π2(4 + 2×2)
2π2(4 + 4) =
2π2×8 =
32π = 100.530965