No, integers do not include fractions.
Integers are whole numbers (positive, negative, or zero) that do not have any fractional or decimal components. Think of them as numbers you can count without needing to break any units into smaller pieces.
Here's a breakdown:
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Integers: Examples include -3, -2, -1, 0, 1, 2, 3, and so on. They are whole numbers.
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Fractions: Fractions represent parts of a whole. Examples include 1/2, 3/4, 5/7, and so on. They are not integers.
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Decimals: Decimals, especially those that are not terminating or repeating, are also not integers. Examples include 3.14, 1.5, and so on. Terminating decimals that can be expressed as an integer (e.g., 2.0) are, essentially, integers.
| Number Type | Definition | Examples | Integers? |
|---|---|---|---|
| Integers | Whole numbers (positive, negative, or zero) | -2, -1, 0, 1, 2, 3 | Yes |
| Fractions | Numbers representing parts of a whole | 1/2, 3/4, 5/7 | No |
| Decimals | Numbers with a whole number part and a fractional part | 1.5, 3.14, -0.75 | No |
Therefore, integers are a distinct set of numbers that exclude fractions and non-integer decimals.
