Answer:
[tex]-1.123123123 \dots\left(-\frac{1122}{999}\right)[/tex] is the rational number which is less than 0 with 3-digit repeating pattern.
Explanation:
"A rational number" is a number which can be written as "fraction" i.e. [tex]\frac{p}{q}[/tex]
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 [tex]-\frac{1122}{999}=-1.123123123 \dots[/tex]
Therefore, [tex]-1.123123 \ldots\left(-\frac{1122}{999}\right)[/tex] is one of the rational number which is less than 0 with 3-digit recurring pattern.
