# Chapter 5 - Number Theory and the Real Number System - 5.5 Real Numbers and Their Properties; Clock Addition - Exercise Set 5.5: 1

Natural Number(s): $\sqrt100$ which is equal to the natural number 10. Whole Numbers: 0, $\sqrt 100$ INtegers: -9, 0, $\sqrt 100$ Rational: -9, $\frac{-4}{5}$, 0, 0.25, 9.2, $\sqrt 100$ Irrational: $\sqrt 3$ Real: All of the numbers in the list are real numbers.

#### Work Step by Step

Natural Numbers are of the set N = {1, 2, 3, 4, ....). Whole numbers just add 0 to the natural numbers. Integers are the natural numbers, their opposites, and 0. Rational numbers may be written as a fraction or as a terminating decimal. Irrational numbers may be written as a non-terminating, non-repeating decimal. Real numbers area composed of all the number sets above.

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