Respuesta :

We need to determine which set of numbers does the given number belong to. The given number is 1.4 where 4 is repeating.

We know that any number that can be written in [tex]\frac{p}{q}[/tex] form, where p and q are integers and q is nonzero, is called a rational number.

Any decimal number with repeating values can be expressed in [tex]\frac{p}{q}[/tex] form. The given number can be expressed as ratio of two integers as:  [tex]\frac{13}{9}[/tex].

Therefore, the given number belongs to the set of rational numbers.