Final answer:
The value -2 belongs to the sets of real numbers, irrational numbers, rational numbers, integers, whole numbers, and natural numbers.
Step-by-step explanation:
The value -2 is a real number, an irrational number, a rational number, an integer, a whole number, and a natural number.
Real numbers: Real numbers include all rational and irrational numbers. -2 is a real number because it can be plotted on the number line.
Irrational numbers: Irrational numbers cannot be expressed as a fraction and have non-repeating, non-terminating decimals. -2 is an irrational number because it cannot be expressed as a fraction or a terminating decimal.
Rational numbers: Rational numbers can be expressed as a fraction, including integers. -2 is a rational number because it can be expressed as -2/1.
Integers: Integers include all whole numbers and their negatives. -2 is an integer because it does not have a fractional or decimal part.
Whole numbers: Whole numbers include all positive integers and zero. -2 is a whole number because it is an integer.
Natural numbers: Natural numbers include all positive integers excluding zero. -2 is not a natural number because it is negative.