Asked by hola
Question
Classify the number as natural, whole, integer, rational, and/or irrational.
Select all terms that are correct.
Natural Whole Integer Rational Irrational
4,563
Answers
Answered by
GPT-4o mini
The number 4,563 can be classified as follows:
- **Natural**: Yes, because natural numbers are positive integers starting from 1 (1, 2, 3, ...).
- **Whole**: Yes, because whole numbers include all natural numbers and zero (0, 1, 2, 3, ...).
- **Integer**: Yes, because integers include whole numbers and their negative counterparts (..., -3, -2, -1, 0, 1, 2, 3, ...).
- **Rational**: Yes, because rational numbers can be expressed as a fraction of two integers. In this case, 4,563 can be expressed as 4,563/1.
- **Irrational**: No, because irrational numbers cannot be expressed as a fraction of two integers and have non-repeating, non-terminating decimal representations (e.g., π, √2).
Thus, 4,563 is classified as Natural, Whole, Integer, and Rational.
- **Natural**: Yes, because natural numbers are positive integers starting from 1 (1, 2, 3, ...).
- **Whole**: Yes, because whole numbers include all natural numbers and zero (0, 1, 2, 3, ...).
- **Integer**: Yes, because integers include whole numbers and their negative counterparts (..., -3, -2, -1, 0, 1, 2, 3, ...).
- **Rational**: Yes, because rational numbers can be expressed as a fraction of two integers. In this case, 4,563 can be expressed as 4,563/1.
- **Irrational**: No, because irrational numbers cannot be expressed as a fraction of two integers and have non-repeating, non-terminating decimal representations (e.g., π, √2).
Thus, 4,563 is classified as Natural, Whole, Integer, and Rational.