sometimes, mathematics finds and studies rules or ideas that we don't understand yet. often in mathematics, ideas and rules are chosen because they are considered simple or neat. on the other hand, sometimes these ideas and rules are found in the real world after they are studied in mathematics; this has happened many times in the past. in general, studying the rules and ideas of mathematics can help us understand the world better. some examples of math problems are addition, subtraction, multiplication, division, calculus, fractions and decimals. algebra problems are solved by evaluating certain variables. a calculator answers every math problem in the four basic arithmetic operations.