Integers, for Class 6, are essentially all whole numbers and their negative counterparts.
Understanding Integers
The term "integers" can be a bit confusing at first, but it's quite simple when you break it down. In mathematics, integers are a specific set of numbers that include:
- Positive Whole Numbers: These are the numbers we use for counting (1, 2, 3, 4, and so on).
- Negative Whole Numbers: These are the same numbers as the positive whole numbers, but with a minus sign in front of them (-1, -2, -3, -4, and so on).
- Zero: This number is neither positive nor negative.
According to the provided reference, integers are the collection of whole numbers and negative numbers. This means that integers do not include any fractional parts. Therefore, numbers like 1/2, 3.75, or 0.33 are *not* integers.
Key Characteristics of Integers
| Characteristic | Description |
|---|---|
| Whole Numbers | Integers include numbers that are complete, with no fractional or decimal parts. |
| Positive, Negative or Zero | Integers can be positive (like 1, 2, 3), negative (like -1, -2, -3), or zero. |
| No Fractions | Integers never include fractions or decimals. |
Examples of Integers
- -5
- -2
- -1
- 0
- 1
- 3
- 100
Examples of Numbers That Are Not Integers
- 1/2
- 0.75
- 3.14
- -2.5
In simple terms, you can think of integers as being whole numbers that can be positive, negative, or zero.
