Let's categorize each of the given numbers based on the classifications provided.
-
0
- Natural: No (natural numbers are positive integers starting from 1)
- Whole: Yes (whole numbers include 0 and positive integers)
- Integer: Yes (integers include whole numbers and negative integers)
- Rational: Yes (0 can be expressed as 0/1, which is a fraction)
- Irrational: No (irrational numbers cannot be expressed as a simple fraction)
Categories: Whole, Integer, Rational
-
6
- Natural: Yes (6 is a positive integer)
- Whole: Yes (6 is a whole number)
- Integer: Yes (6 is an integer)
- Rational: Yes (6 can be expressed as 6/1, which is a fraction)
- Irrational: No (6 is a rational number)
Categories: Natural, Whole, Integer, Rational
-
−1
- Natural: No (natural numbers are only positive integers)
- Whole: No (whole numbers are non-negative, which do not include negative integers)
- Integer: Yes (−1 is an integer)
- Rational: Yes (−1 can be expressed as −1/1, which is a fraction)
- Irrational: No (−1 is a rational number)
Categories: Integer, Rational
-
1/4
- Natural: No (not a whole positive integer)
- Whole: No (not a whole number)
- Integer: No (not an integer)
- Rational: Yes (1/4 is a fraction)
- Irrational: No (1/4 is a rational number)
Categories: Rational
-
17
- Natural: Yes (17 is a positive integer)
- Whole: Yes (17 is a whole number)
- Integer: Yes (17 is an integer)
- Rational: Yes (17 can be expressed as 17/1, which is a fraction)
- Irrational: No (17 is a rational number)
Categories: Natural, Whole, Integer, Rational
Summary of Categories:
- 0: Whole, Integer, Rational
- 6: Natural, Whole, Integer, Rational
- −1: Integer, Rational
- 1/4: Rational
- 17: Natural, Whole, Integer, Rational
1 answer