Question

Let a be the set of digits in the base-10 expression of the rational number 41 333 . Let b be the set of digits in the base-10 expression of the rational number 44 333 . Is a = b? Explain.

Answer 1

Solution:

Rational Number: $\frac{41}{333} = 0.123$ and $\frac{44}{333} = 0.132$

a={0,1,2,3} and b={0,1,2,3}

Therefore, a=b