Understanding Whole Numbers, Natural Numbers, and Integers

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Explore the concepts of whole numbers, natural numbers, and integers in mathematics. Learn about multiplicatives inverses, counting numbers, and the different types of numbers that make up the number system. Dive into the world of integers, including negative numbers, positive numbers, and zero. Gain a comprehensive understanding of these fundamental mathematical principles.

  • Mathematics
  • Number System
  • Whole Numbers
  • Integers
  • Natural Numbers

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  1. Multiplicative Inverse Another name for Reciprocal. When you multiply a number by its "Multiplicative Inverse" you get 1. Example: 8 (1/8) = 1

  2. Whole Numbers Whole Numbers Whole Numbers are simply the numbers 0, 1, 2, 3, 4, 5, ... (and so on) No Fractions! Counting Numbers Counting Numbers are Whole Numbers, but without the zero. Because you can't "count" zero. So they are 1, 2, 3, 4, 5, ... (and so on).

  3. Natural Numbers "Natural Numbers" can mean either "Counting Numbers" {1, 2, 3, ...}, or "Whole Numbers" {0, 1, 2, 3, ...}, depending on the subject.

  4. Integers Integers are like whole numbers, but they also include negative numbers ... but still no fractions allowed! So, integers can be negative {-1, -2,-3, -4, -5, ... }, positive {1, 2, 3, 4, 5, ... }, or zero {0}

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