Rational numbers, a key concept in Class 7 mathematics, can be expressed as a fraction p/q, where p and q are integers and q is not zero. Based on their representation, rational numbers can be categorized into several types.
Here's a breakdown of the different types of rational numbers you'll encounter in Class 7:
Types of Rational Numbers
| Type | Description | Examples |
|---|---|---|
| Integers | Whole numbers (positive, negative, and zero). | -2, 0, 5 |
| Fractions | Numbers expressed as a ratio of two integers. | 2/7, -2/3 |
| Terminating Decimals | Decimals that have a finite number of digits after the decimal point. | 0.35, 0.667 (can be written as 667/1000) |
Elaborating on the types:
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Integers: These are the simplest form of rational numbers as any integer 'n' can be written as n/1.
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Fractions: Fractions represent parts of a whole. They can be positive or negative, provided the numerator is positive or negative, respectively.
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Terminating Decimals: These decimals can be easily converted into fractions. For example, 0.35 = 35/100 and 0.667 (approximately) can be represented as 667/1000.
Understanding these different types of rational numbers is crucial for performing various mathematical operations and solving problems in Class 7 and beyond.
