Question

question #3 directions: drag each answer to the correct box. identify the relationship between the subsets of the real - number system using this diagram real number system natural whole integer rational irrational

Explanation:

Step1: Recall subset - relationships

Natural numbers are positive integers starting from 1. Whole numbers include 0 and natural numbers. Integers include positive and negative whole - numbers and 0. Rational numbers are numbers that can be written as a fraction $\frac{a}{b}$ where $b
eq0$. Irrational numbers cannot be written as a fraction.
The set of natural numbers ($N$) is a subset of the set of whole numbers ($W$), the set of whole numbers is a subset of the set of integers ($Z$), the set of integers is a subset of the set of rational numbers ($Q$). The set of rational numbers and the set of irrational numbers together make up the set of real numbers ($R$), and they are disjoint subsets of the real numbers.
From the innermost circle to the outermost in the nested - circle part (left - hand side of the large outer circle represents irrational numbers and right - hand side represents rational numbers and its subsets):
The innermost circle is for natural numbers, then whole numbers, then integers, then rational numbers. The other large non - overlapping circle is for irrational numbers.

Answer:

Innermost nested circle: Natural
Second nested circle: Whole
Third nested circle: Integer
Fourth nested circle: Rational
Non - overlapping large circle: Irrational