Choose which
group of sets the following number belongs to. Be sure to account for ALL sets.
Question content area bottom
-(5)/(8)
C.
real numbers, rational numbers, natural numbers
D.
rational numbers, natural numbers, integers
E.
irrational numbers, natural numbers
The number -(5)/(8) belongs to the group of sets D: rational numbers, natural numbers, integers.
The number -(5)/(8) is a rational number because it can be expressed as a fraction (-5/8). It is also an integer because it is not a decimal or fraction, and it is a natural number because it is a positive whole number.
The number -(5)/(8) belongs to the group of sets containing real numbers, rational numbers, and integers.
Explanation:
Real numbers include all numbers that can be represented on the number line, including both rational and irrational numbers. Since -(5)/(8) can be expressed as a fraction, it is a rational number.
Natural numbers are positive integers, but -(5)/(8) is not a natural number because it is negative.
Integers include positive and negative whole numbers, as well as zero. -(5)/(8) is a negative fraction and can be considered as a negative rational number, so it belongs to the set of integers.
Therefore, the correct answer is option D - rational numbers, natural numbers, integers.