A compounding problem is a mathematical problem in which the result of one step is used as the input for the next step, creating a chain of calculations that lead to a final answer.
To solve a compounding problem, you need to follow the order of operations and perform each step in sequence. Start with the innermost parentheses and work your way out, performing calculations in the correct order (exponents, multiplication/division, addition/subtraction).
Checking your answer in a compounding problem is important because it helps to ensure that you have correctly followed the order of operations and performed each step accurately. It also helps to catch any mistakes that may have been made along the way.
Some common mistakes to avoid when solving a compounding problem include not following the order of operations, making an error during a calculation, and not properly distributing a negative sign throughout the problem.
You can confirm your answer in a compounding problem by plugging it back into the original problem and checking that it satisfies all of the given conditions. You can also use a calculator or ask a peer or teacher to double-check your work.