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1300_section1o1 - 1.1 The Real Number System Types of...

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1 1.1 The Real Number System Types of Numbers: The following diagram shows the types of numbers that form the set of real numbers. Definitions 1. The natural numbers are the numbers used for counting. 1, 2, 3, 4, 5, . . . A natural number is a prime number if it is greater than 1 and its only factors are 1 and itself. A natural number is a composite number if it is greater than 1 and it is not prime. Example: 5, 7, 13,29, 31 are prime numbers. 8, 24, 33 are composite numbers. 2. The whole numbers are the natural numbers and zero. 0, 1, 2, 3, 4, 5, . . . 3. The integers are all the whole numbers and their additive inverses. No fractions or decimals. . . . , -3, -2, -1, 0, 1, 2, 3, . . . An integer is even if it can be written in the form n 2 , where n is an integer (if 2 is a factor). An integer is odd if it can be written in the form 1 2 - n , where n is an integer (if 2 is not a factor). Example: 2, 0, 8, -24 are even integers and 1, 57, -13 are odd integers. 4. The rational numbers are the numbers that can be written as the ratio of two integers. All rational numbers when written in their equivalent decimal form will have terminating or repeating decimals.
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