Point C accurately represents -1 5/6 on the number line. It is located 5 hash marks to the left of -1, correctly reflecting the position of the fraction. Points A, B, D, and E represent other values on the number line. The correct answer is option (iii).
The point that represents -1 5/6 on the number line is Point C.
Here's why:
Identifying the scale: The number line has integers marked at each major tick, with smaller hash marks in between. This means each major tick represents one unit.
Locating -1: The leftmost major tick is labeled -1.
Finding -1 5/6: Since 5/6 is less than 1, we move 5 hash marks to the left of -1. Point C is located at that position.
Therefore, Point C accurately represents the position of -1 5/6 on the number line.
Here's a breakdown of the other points:
Point A: This point is to the right of -1, so it represents a negative number greater than -1 5/6.
Point B: This point is to the left of -1 5/6, so it represents a negative number smaller than -1 5/6.
Point D: This point is to the right of -1, so it represents a negative number greater than -1 5/6.
Point E: This point is to the left of -1, so it represents a negative number smaller than -1 5/6.
Therefore, option (iii) is correct.