Question

A rational number less then 0 with a 3-digit repeating pattern

Answer 1

`-1.123123123 \dots\left(-(1122)/(999)\right)` is the rational number which is less than 0 with 3-digit repeating pattern.

Step-by-step explanation:

"A rational number" is a number which can be written as "fraction" i.e.
`(p)/(q)`

3-digit repeating pattern is said as the 3-digit number is repeated after decimal in periodic manner.

The numbers less than 0 are -1,-2,-3,-4…..

To find the rational number which is less than 0 with 3-digit repeating pattern take the fraction
`-(1122)/(999)=-1.123123123 \dots`

Therefore,
`-1.123123 \ldots\left(-(1122)/(999)\right)` is one of the rational number which is less than 0 with 3-digit recurring pattern.