To represent 2/3 on the number line:

- Draw a number line with 0 in the center.
- Mark a point on the line to represent 2/3.
- Since 2/3 is a positive fraction, the point will be to the right of 0.
- To find the position of the point, divide the number line into 3 equal parts between 0 and 1.
- Mark the second part from 0, as 2/3 lies between 1/3 and 1.

To represent (-2)/3 on the number line:

- Draw a number line with 0 in the center.
- Mark a point on the line to represent (-2)/3.
- Since (-2)/3 is a negative fraction, the point will be to the left of 0.
- To find the position of the point, divide the number line into 3 equal parts between 0 and -1.
- Mark the second part from 0, as (-2)/3 lies between -1/3 and -1.

To determine if the points are equidistant from the origin:

- The distance between a point and the origin is the absolute value of the point's position on the number line.
- The distance between 2/3 and 0 is 2/3.
- The distance between (-2)/3 and 0 is also 2/3.
- Therefore, the points are equidistant from the origin.

To determine the number of rational numbers between these two numbers:

- Rational numbers are those that can be expressed as a fraction of two integers.
- To find the rational numbers between 2/3 and (-2)/3, we need to find all fractions that lie between these two numbers.
- The fractions between 2/3 and (-2)/3 can be found by subtracting the two numbers and dividing the result by the denominator of either number.
- The difference between 2/3 and (-2)/3 is 4/3.
- Dividing 4/3 by the denominator 3 gives us 4/9, which is the difference between any two consecutive fractions between 2/3 and (-2)/3.
- To find the number of fractions between 2/3 and (-2)/3, we need to divide the difference between these two numbers by 4/9 and add 1 to the result.
- (4/3) / (4/9) = 3 + 1 = 4
- Therefore, there are 4 rational numbers between 2/3 and (-2)/3.

Represent 2/3 and (-2)/3 on the number line. Are these points equidistant from the origin? If yes,then how many rational numbers are there between these two number.