Question

This visual representation shows the sets of real numbers. Classify the number 4563. Venn diagram with an outer loop labeled capital R, Real Numbers. Inside that loop is another loop divided into two parts. The right part is labeled capital I, Irrational Numbers. The left part is labeled capital Q, Rational Numbers. A loop inside the rational numbers loop is labeled capital Z, Integers. A loop inside the integers loop is labeled capital W, Whole Numbers. A loop inside the whole numbers loop is labeled N, Natural Numbers. Select all terms that are correct.

a) Natural 4563
b) Whole 4563
c) Integer 4563
d) Rational 4563
e) Irrational 4563

Answer 1

The number 4563 is classified as a Natural, Whole, Integer, and Rational Number, but it is not an Irrational Number.The correct option is E.

Step-by-step explanation:

The student asked to classify the number 4563 using a Venn diagram of sets of real numbers. Within this diagram, the structure of number sets is as follows: Natural Numbers (N) are inside Whole Numbers (W), which are inside Integers (Z), which in turn are inside Rational Numbers (Q). Irrational Numbers (I) are in a separate part of the Real Numbers (R) that do not overlap with Rational Numbers. Since 4563 is a positive numeral without a decimal or fractional component, it is classified as a Natural Number. All Natural Numbers are also Whole Numbers, Integers, and Rational Numbers. Therefore, the number 4563 is a Natural, Whole, Integer, and Rational Number. It is not an Irrational Number since it can be expressed as a ratio of two integers (4563/1).