The accurate heritage of number sets within the real number system from largest to smallest is:
Rational numbers, integers, whole numbers, natural numbers.
Here's a brief explanation of the relationships:
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Rational Numbers: This set includes all fractions, which can be formed by dividing integers (e.g., -3, -1/2, 0, 1/4, 2). Rational numbers encompass both integers and whole numbers, as every integer can be expressed as a fraction (e.g., 5 = 5/1).
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Integers: This set includes all whole numbers and their negative counterparts (e.g., ..., -3, -2, -1, 0, 1, 2, 3, ...).
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Whole Numbers: This set is similar to integers but does not include negative numbers (0, 1, 2, 3, ...).
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Natural Numbers: This set includes all positive integers starting from 1 (1, 2, 3, ...). Some definitions include 0 as a natural number, but traditionally they are regarded as starting from 1.
So, the correct order from largest set to smallest set is:
- Rational Numbers
- Integers
- Whole Numbers
- Natural Numbers
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