Andrew, Bob, Catherine, David and Emma are discussing about rational numbers and recurring decimals.
Andrew: Infinite decimals cannot be rational numbers.
Bob: Finite decimals and recurring decimals are all rational numbers.
Catherine: Natural numbers can always be expressed in the form of a recurring decimal, while there exists an integer that cannot be expressed in that form.
David: Some recurring decimals cannot be expressed in the form of a fraction having both of its numerator and denominator as rational numbers.
Emma: Fractions that have their denominator as a power of 10 must be rational numbers.
Andrew has number 1 on his shirt, Bob has number 2, Catherine has number 4, David has number 8 and Emma has number 16.
Add up all of the numbers on the shirts of the people whose statement is correct.
This problem is a part of <Grade 8 - Number Theory> series.