Why is it a good strategy to begin problem solving by making

Why is it a good strategy to begin problem solving by making an estimate of the answer? List at least three advantages of having an approximate answer before you start solving most problems. How can estimation help you set up the problem solving steps that will lead you to the actual answer?

Solution

The three basic steps to solve a mathematics problem are:

a: Understand the problem

b: Carry out a strategy for solving the problem

c: Check your answer

               In many real-world problems, an order-of-magnitude estimate is sufficient and a precise answer may be impossible or unnecessary. Approximate values for dimensions and conditions may be used for the calculation. An estimate is based on approximations that are known to be reasonable through experience or available information. A guesstimate is made when such information is unavailable. All guesstimates and approximations should be stated, so that they may be upgraded if a better estimate becomes necessary.

Whenever an individual performs numerical calculations related to a problem, it is better to do approximate calculation, only in mind. This provides a check on the calculation, especially on decimal points and powers of ten where errors often occur, and also helps develop skills in estimation.