# Classification of Real Numbers - Problems with Solutions

**Natural numbers:** $N=\left\{ 1,2,3,4,5,6,7,............\right\} $

**Integers(whole numbers):** $Z=\left\{......-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7.......\right\}$

**Rational numbers:** $Q=\left\{ ......-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7......\frac{3%
}{2},-\frac{1}{5},\frac{4}{3},....\right\}$

**Irrational numbers:** $I=\left\{ \sqrt{2},-\sqrt{5},e,\pi ....\right\} $.
In the image R\Q represents the set of irrational numbers

**Real numbers:** $R=Q\cup I$ means the real numbers are the union of rational
and irrational.

Correct:

Wrong:

Unsolved problems: