Represent the following number on the number line:

$-2\dfrac{2}{7}$

Draw a number line and mark a point O on it, representing the integer 0. Each point of division represents an integer and each length between two successive integers is a unit length.

The given number is already a mixed fraction, so we can directly find the two integers between which it lies.

$-2\dfrac{2}{7} = \dfrac{-16}{7}$

So, $-2\dfrac{2}{7}$ lies between -2 and -3.

Divide the unit length between -2 and -3 into 7 equal segments by making 6 equally spaced marks. Starting from the integer -2, count backward (to the left) 2 segments. Label this specific position as point E, representing $-2\dfrac{2}{7}$ i.e. $\dfrac{-16}{7}$, as shown below :

Hence, the point E on the number line represents $\mathbf{-2\dfrac{2}{7}}$.