A number must be a whole number (not fractional) and can be positive, negative, or zero to be considered an integer.
Understanding Integers
Integers are fundamental in mathematics. They are whole numbers, meaning they don't have any fractional or decimal parts.
Key Characteristics of Integers
- Whole Number: Integers are whole numbers, meaning they do not include fractions or decimals.
- Positive, Negative, or Zero: Integers can be positive (e.g., 1, 5, 97), negative (e.g., -5), or zero (0).
- No Fractional Part: Numbers with fractional parts (e.g., 1/2, 3/4) or decimal parts (e.g., 3.14, -1.43) are not integers.
Examples of Integers and Non-Integers
| Example | Integer? | Explanation |
|---|---|---|
| -5 | Yes | Whole, negative number |
| 0 | Yes | Zero |
| 1 | Yes | Whole, positive number |
| 97 | Yes | Whole, positive number |
| 3,043 | Yes | Whole, positive number |
| -1.43 | No | Contains a decimal part |
| 1 3/4 | No | Contains a fractional part |
| 3.14 | No | Contains a decimal part |
| 0.09 | No | Contains a decimal part |
| 5,643.1 | No | Contains a decimal part |
In summary, to be an integer, a number must be a whole number without any fractional or decimal components and can be positive, negative, or zero, as stated in the provided reference.
