What all sets does -16 belong in
it is in the complex or imaginary number set as -16 + 0i
it is a real number
it is an integer
it is a rational number as -16/1
To determine the sets in which -16 belongs, we need more context. The number -16 could belong to various sets, such as the set of integers, real numbers, rational numbers, or even complex numbers. Let's explore each of these sets:
1. Integers (Z): The set of integers includes all positive and negative whole numbers, including zero. Therefore, -16 is an integer and belongs to this set (-16 ∈ Z).
2. Real numbers (R): The set of real numbers includes all the rational and irrational numbers. Since -16 can be expressed as a ratio of two integers (-16/1), it is a rational number and belongs to this set (-16 ∈ R).
3. Rational numbers (Q): The set of rational numbers consists of all numbers that can be represented as fractions (where the numerator and denominator are integers and the denominator is not zero). Hence, -16 is a rational number and belongs to this set (-16 ∈ Q).
4. Complex numbers (C): The set of complex numbers comprises both real and imaginary numbers. A complex number can be written in the form a + bi, where 'a' and 'b' are real numbers and 'i' represents the imaginary unit (√(-1)). Since -16 can be expressed as -16 + 0i, it is a complex number, albeit a real one, and thus belongs to this set (-16 ∈ C).
Therefore, -16 belongs to the sets of integers (Z), real numbers (R), rational numbers (Q), and complex numbers (C).