Which list shows an accurate hierarchy of number sets within the real number system, from largest to smallest?(1 point)
Which list shows an accurate hierarchy of number sets within the real number system, from largest to smallest
bot plz answer
Which list shows an accurate hierarchy of number sets within the real number system, from largest to smallest?
Which list shows an accurate hierarchy of number sets within the real number system, from largest to smallest?(1 point)
bot Which list shows an accurate hierarchy of number sets within the real number system, from largest to smallest?(1 point)
To determine the accurate hierarchy of number sets within the real number system from largest to smallest, you need to understand the different number sets and their relationships. Here's the correct hierarchy:
1. Complex Numbers: In the real number system, the complex numbers consist of all numbers in the form a + bi, where a and b are real numbers, and i is the imaginary unit (√-1). Complex numbers include both real numbers and imaginary numbers.
2. Real Numbers: Real numbers comprise all rational and irrational numbers. Rational numbers are numbers that can be expressed as a fraction, where the numerator and denominator are integers. Irrational numbers, on the other hand, cannot be expressed as a fraction and have non-repeating, non-terminating decimal representations (e.g., √2, π).
3. Rational Numbers: Rational numbers include integers (positive and negative whole numbers) and fractions. Integers are numbers without fractional or decimal parts, while fractions are ratios of two integers.
4. Integers: Integers consist of positive numbers, negative numbers, and zero. They do not include any fractional or decimal parts.
5. Whole Numbers: Whole numbers consist of positive numbers and zero. They do not include negative numbers or any fractional or decimal parts.
6. Natural Numbers: Natural numbers include all positive integers (1, 2, 3, ...) but do not include zero or negative numbers.
Therefore, the correct hierarchy of number sets within the real number system, from largest to smallest, is: Complex Numbers > Real Numbers > Rational Numbers > Integers > Whole Numbers > Natural Numbers.