The rational number is the number that can be put in the form a/b, where b is not equal to zero
[tex]\frac{a}{b},b\ne0\rightarrow Rational\text{ number}[/tex]
Note that: Repeated decimals are a rational numbers
The given numbers are
[tex]\begin{gathered} 0.717117111...\rightarrow(1) \\ 0.0505505550...\rightarrow(2) \\ 0.62626262...\rightarrow(3) \\ 4.8\rightarrow(4) \\ \sqrt{13}\rightarrow(5) \end{gathered}[/tex]
(1) is not a rational number because we can not put it in the form of the fraction
(2) is not a rational number because we can not put it in the fraction form
(3) is a rational number because it is a repeating decimal
(4) is a rational number because we can put it in the form of the fraction (48/10)
(5) is not a rational number because all the square roots of non square numbers are irrational numbers.
The answers are:
(3) and (4)
0.62626262..
4.8
