# Positive and Negative Rational Numbers

## Definition

Positive Rational Number: When the numerator and denominator, both, are positive integers, it is a positive rational number. 3/8, 5/7, 2/9 etc. are positive rational numbers.

Negative rational numbers: When either the numerator or the denominator is a negative integer, it is a negative rational number. -5/7, -3/8, -9/5 etc. are negative rational numbers.

## Notes

### Positive and Negative Rational Numbers:

Rational numbers are classified as Positive and Negative rational numbers.

### 1. Positive Rational Number:

• When the numerator and denominator, both, are positive integers, it is a positive rational number.
• 3/8, 5/7, 2/9 etc. are examples of positive rational numbers.

### 2. Negative rational numbers:

• When either the numerator or the denominator is a negative integer, it is a negative rational number.
• -5/7, -3/8, -9/5 etc. are negative rational numbers.

### 3. Facts about Positive and Negative Rational Numbers:

1. When the numerator and denominator, both, are positive integers, it is a positive rational number. For example, 2/3.

2. When the numerator and denominator, both, are negative integers, it is a positive rational number. For example (-8)/(-3).

3. If the numerator is negative and their denominator is positive, it is a negative rational number. For example, (-5)/3.

4. If the numerator is positive and their denominator is negative, it is a negative rational number. For example, 5/(-7).

5. The number 0 is neither a positive nor a negative rational number.
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