On a number line, consecutive integers are separated by a distance of 1 unit. So, if we represent the integer value of -1.1 on the number line, we can locate it between the integers -2 and -1.
To understand this, we can break down -1.1 into two parts: the integer part and the decimal part. The integer part of -1.1 is -1, which is one unit away from the integer -2.
The decimal part of -1.1 is 0.1, which is less than halfway to the integer -1. Therefore, we can say that -1.1 is closer to -2 than to -1, and is located between the two consecutive integers -2 and -1 on the number line.
So, we can represent this using the inequality:
-2 < -1.1 < -1
Therefore, between the two consecutive integers -2 and -1, the number -1.1 located.