- ⅛ natural whole interger rattional irattional
To understand the different categories of numbers mentioned in your question, let's break them down:
1. Natural numbers: These are the numbers we use to count things, starting from 1 and continuing indefinitely (1, 2, 3, 4, 5, ...).
2. Whole numbers: Whole numbers include all natural numbers (positive integers) along with zero (0, 1, 2, 3, 4, 5, ...).
3. Integers: Integers are a broader category that includes whole numbers as well as their negative counterparts (-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, ...).
4. Rational numbers: Rational numbers are those that can be expressed as a fraction of two integers, where the denominator is not zero. Examples of rational numbers include 1/2, 3/4, -5/3, and so on.
5. Irrational numbers: These numbers cannot be expressed as a fraction of two integers. They are non-repeating and non-terminating decimals. Examples of irrational numbers include π (pi), √2 (square root of 2), and e (base of the natural logarithm).
Now, let's address the 1/8 mentioned in your question:
- 1/8 is a rational number because it can be expressed as a fraction of two integers (1 and 8). In decimal form, it is 0.125.
Therefore, 1/8 is a natural number, a whole number, an integer, and a rational number. It is not an irrational number as it can be written as a fraction.