Principles of Mathematics

Explored various mathematical topics, investigated their importance, and learned to work with them. In this culminating assignment, you will complete four (4) tasks that assess your expertise in the course material,

Task 1:  Principles of Mathematics
Consider the number sets integers, rational numbers, and real numbers. In one day, record at least 25 different numbers that you encounter in your everyday life. Your observations must include at least one of each set: integers, rational numbers that are not integers, and real numbers that are not rational numbers.
Part A: In an organized table, record your 25 or more observed numbers in order, state where you observed that number, and classify it as an integer, a rational number that is not an integer, or a real number that is not a rational number.
Part B: Write a paragraph that explains the importance of each of those three number sets. Your paragraph should explain why each number set is used, and its limitations that require the use of another set.
Part C: Consider a person from a culture that counts in base-6. Assume that they use the number symbols 0, 1, 2, 3, 4, and 5. Write a paragraph to them that explains our base-10 system.