Consider the following six numbers:

MATHEMATICS · Multi-part · CBSE · Mathematics · Number Systems · Number Systems

Problem

3,\;\dfrac{-5}{2},\;\dfrac{\sqrt{49}}{3},\;\dfrac{\sqrt{45}}{3},\;2.125,\;0.\overline{3}

(a) Simplify each number, wherever possible. (b) For each number, state the smallest set it belongs to among Natural (

\mathbb{N}

), Whole (

\mathbb{W}

), Integer (

\mathbb{Z}

), Rational (

\mathbb{Q}

), Irrational (

\mathbb{Q}'

) and Real (

\mathbb{R}

). Present your answers in a table with two columns – Number and Smallest Set.