Because that is how the set of integers and the set of rational numbers are defined.
Rational numbers and Real numbers
rational numbers because it is a terminating decimal and can be written as a fraction.
Negative rational numbers; Negative real numbers; Rational numbers; Real numbers. The number also belongs to the set of complex numbers, quaternions and supersets.
It belongs to any set that contains it!It belongs to {-4},or {-4, sqrt(2), pi, -3/7},or all whole numbers between -43 and 53,or multiples of 2,or even numbers,or composite numbers,or integers,or rational numbers,or negative rational numbers,or real numbers,or complex numbers,etc.
Because that is how the set of integers and the set of rational numbers are defined.
It belongs to the set of prime numbers
Rational numbers and Real numbers
It belongs to the set of negative rational numbers, negative real numbers, fractionall numbers, rational numbers, real numbers.
Real numbers; also the rational numbers.
integers
Any number that can be written as a fraction belongs to the set of rational numbers.
Of the "standard sets" -10 belongs to: ℤ⁻ (the negative integers) ℤ (the integers) ℚ⁻ (the negative rational numbers) ℚ (the rational numbers) ℝ⁻ (the negative real numbers) ℝ (the real numbers) ℂ (the complex numbers) (as ℤ ⊂ ℚ ⊂ ℝ ⊂ ℂ). Other sets are possible, eg the even numbers.
It is a rational and real number.
10 belongs to the set "natural numbers", but it can also belong to whole numbers, and rational numbers
rational numbers because it is a terminating decimal and can be written as a fraction.
It belongs to any set that has -17 amongst its members.Given that this is schoolwork, the answer teacher probably wants is: the set of integers.It also belongs to the set of rational numbers, the set of negative integers, the set of real numbers, the set of complex numbers, the set {43.2, 98, -17, pi} and an infinite number of others.It belongs to the set of complex numbers in spite of having no 'imaginary' part. Real numbers are just special cases of complex number in which the imaginary part happens to be zero. Rational numbers are special cases of real numbers. Integers are special cases of rational numbers.