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: $R=Q\cup I$ - the real numbers are the union of rational and irrational.
Correct:
Wrong:
Unsolved problems: