Answer :
Final answer:
The number -10.1 is a rational, real, and negative number. This is because it can be expressed as a quotient of two integers (rational) and includes all possible numbers (real) but is less than zero (negative).
Explanation:
The number -10.1 belongs to several sets of numbers in mathematics. Firstly, with its decimal point, -10.1 is a member of the Rational Numbers because it can be expressed as the quotient of two integers, with the denominator not equal to zero. Secondly, it falls under the category of the Real Numbers which include all the rational and irrational numbers, where irrational numbers cannot be expressed as the quotient of two integers. Furthermore, as a non-positive number, -10.1 is also included in the set of the Negative Numbers.
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