Which list show an accurate hierarchy of number set within the real number system from largest to smallest? (1 point)
The correct hierarchy of number sets within the real number system from largest to smallest is as follows:
1. The set of real numbers, denoted by ℝ, which includes all rational and irrational numbers.
2. The set of rational numbers, denoted by ℚ, which includes all numbers that can be expressed as fractions or ratios of integers.
3. The set of integers, denoted by ℤ, which includes all whole numbers, both positive and negative.
4. The set of natural numbers, denoted by ℕ, which includes all positive integers.
5. The set of counting numbers, denoted by {1, 2, 3, ...}, which includes all positive integers excluding zero.
So, the accurate hierarchy of number sets from largest to smallest is: ℝ > ℚ > ℤ > ℕ > counting numbers.
1. Whole numbers > Integers > Rational numbers > Irrational numbers > Natural numbers
This hierarchy is accurate because it follows the progression from the broadest category (whole numbers) to the more specific categories (integers, rational numbers, irrational numbers, natural numbers).