Question

The following number belongs to which set of numbers 1.4 repeating

Answer 1

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 $\frac{p}{q}$ 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 $\frac{p}{q}$ form. The given number can be expressed as ratio of two integers as:  $\frac{13}{9}$.

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