Rational numbers
A rational number, in Mathematics, can be defined as any number which can be represented in the form of where . When the rational number is divided, the result will be in decimal form, which may be either terminating decimal or repeating decimal. The set of rational numerals includes positive, negative numbers, and zero.
Positive integers
- If both the numerator and denominator are of the same signs.
- All are greater than
- All are less than .
- Examples of positive rational numbers: and
Negative integers
- If the rational number is positive, both and are positive integers. If the rational number takes the form , then either or takes the negative value.
- If the numerator and denominator are of opposite signs.
- All are less than .
- Examples of negative rational numbers: and .
Hence, is smaller than .