Respuesta :

Given:

The numbers are [tex]-5,0,6,-3.5,-1\dfrac{2}{3}[/tex].

To find:

The number line one which each of the given number is plotted correctly.

Solution:

The given numbers are [tex]-5,0,6,-3.5,-1\dfrac{2}{3}[/tex].

To plot [tex]-5,0,6[/tex], we need to make dots at [tex]-5,0,6[/tex] respectively.

To plot [tex]-3.5[/tex], we need to make a dot in the mid of -4 and -3.

To plot [tex]-1\dfrac{2}{3}[/tex], we need to make a dot between -2 and -1. That point divides the segment between -2 and -1 in 1:2

In option A, -5 is not plotted correctly. So, option A is incorrect.

In option B, -3.5 is not plotted correctly and [tex]-1\dfrac{2}{3}[/tex] is not plotted. So, option B is incorrect.

In option C, all the points are plotted correctly. So, option C is correct.

In option D, [tex]-1\dfrac{2}{3}[/tex] is not plotted correclty. So, option D is incorrect.

Therefore, the correct option is C.