Question

Comelia and Christopher are arguing about Real Number (R) Sets. Comelia says that all Whole (W) numbers are Rational (Q) and Christopher

says that all Rational (Q) numbers are Whole (W). Who is correct and explain why?

Answer 1

Comelia is correct.

Explanation:

Rational numbers are those whole can be represented as a fraction.

=> Every fraction is a rational number.

Comelia Says:

All Whole Numbers are Rational Numbers

=> Example: 3 = rational number

=> 3 can be represented as a fraction

=> 30/10 = 300/100

So, Comelia's statement is correct.

Christopher Says:

All Rational Numbers are Whole Numbers

=> Example: 1/2 = Whole Number

=> 1/2 is a fraction

=> 1/2 = .5

=> .5 is not a whole number.

Whole numbers don't have numbers after the decimal point.

So, Christopher's statement is incorrect.