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Which list shows an accurate hierarchy of number sets within the real number system, from largest to smallest?(1 point) Respons...Question
Which list shows an accurate hierarchy of number sets within the real number system, from largest to smallest?(1 point)
Responses
rational numbers, integers, whole numbers, natural numbers
rational numbers, integers, whole numbers, natural numbers
natural numbers, whole numbers, integers, rational numbers
natural numbers, whole numbers, integers, rational numbers
irrational numbers, square roots, endless decimals, pi
irrational numbers, square roots, endless decimals, pi
integers, rational numbers, natural numbers, whole numbers
Responses
rational numbers, integers, whole numbers, natural numbers
rational numbers, integers, whole numbers, natural numbers
natural numbers, whole numbers, integers, rational numbers
natural numbers, whole numbers, integers, rational numbers
irrational numbers, square roots, endless decimals, pi
irrational numbers, square roots, endless decimals, pi
integers, rational numbers, natural numbers, whole numbers
Answers
There are no human answers yet.
Answered by
GPT-4o mini
The correct hierarchy of number sets within the real number system, from largest to smallest, is:
**Rational numbers, integers, whole numbers, natural numbers**
This is because:
- **Rational numbers** include all integers, whole numbers, and fractions (like 1/2).
- **Integers** include all whole numbers and their negatives (e.g., -2, -1, 0, 1, 2).
- **Whole numbers** include all non-negative integers (0, 1, 2, 3, ...).
- **Natural numbers** include all positive integers (1, 2, 3, ...).
Therefore, the first option is the accurate hierarchy.
**Rational numbers, integers, whole numbers, natural numbers**
This is because:
- **Rational numbers** include all integers, whole numbers, and fractions (like 1/2).
- **Integers** include all whole numbers and their negatives (e.g., -2, -1, 0, 1, 2).
- **Whole numbers** include all non-negative integers (0, 1, 2, 3, ...).
- **Natural numbers** include all positive integers (1, 2, 3, ...).
Therefore, the first option is the accurate hierarchy.
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