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4. Select all sets to which the value below belongs.

A. Real Numbers
2- 2
B.Irrational Numbers
C. Rational Numbers
D. Integers
E. Whole Numbers
F. Natural Numbers

1 Answer

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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.

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