Although the first set of rules for dealing with negative numbers was stated in the 7th century by the Indian mathematician Brahmagupta, in 1758 the British mathematician Francis Maseres was claiming that negative numbers "... darken the very whole doctrines of the equations and make dark of the things which are in their nature excessively obvious and simple" . In 200 BC the Chinese number rod system represented positive numbers in Red and Negative numbers in black. These were used for commercial and tax calculations where the black cancelled out the red. The amount sold was positive and the amount spent in purchasing something was negative so a money balance was positive, and a negative.
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Where do we see negative numbers
It belongs to the set of negative rational numbers, negative real numbers, fractionall numbers, rational numbers, real numbers.
No, not all negative numbers are rational. There are many negative numbers that are irrational, just like the positive numbers.
Rational numbers can be negative or positive.
Yes. It can also be negative in the numerator. Both positive and negative numbers (as well as zero) can be rational numbers. Both positive and negative numbers can be irrational numbers. Both positive and negative numbers (as well as zero) can be integers.