No, fractions are not integers.
According to the provided reference, an integer is defined as a "round number" or "whole number" that can be positive or negative and does not include decimal parts or fractions. This means numbers like 3, -10, and 1025 are integers. In contrast, numbers with decimal components, like 2.76 and 1.5, and numbers that represent parts of a whole, such as the fraction 3 ½, are not considered integers.
Here's a table summarizing the difference between integers and fractions:
| Feature | Integers | Fractions |
|---|---|---|
| Definition | Whole numbers, positive or negative, no decimal/fractional parts | Parts of a whole, represented as a ratio of two numbers |
| Examples | -3, 0, 5, 100, -200 | 1/2, 3/4, 7/8, 5/3 |
| Decimal Parts | Not applicable | Can have decimal representations |
Therefore, to reiterate, the essential aspect of an integer is that it is a whole number. Fractions, on the other hand, represent parts of a whole and are, by definition, distinct from integers. This can be further broken down into:
- Integers: Represent complete units (e.g., you have 5 apples).
- Fractions: Represent portions of a unit (e.g., you have half an apple which is represented as ½).
In summary, based on the definition of an integer as a whole number and the distinct nature of a fraction, it's clear that fractions do not belong to the set of integers.
