The correct statements are third "Point D represents a number less than the number Point C represents", and fifth "Point E represents the smallest number of all the numbers represented by points".
Given information:
The number line shows 6 points A, B, C, D, E, and F.
The sequence of numbers from left to right is E, B, D, C, A, and F.
In the number line, a point or number on the right is bigger than the point or number on the left.
From this, we can conclude that:
- Point C is on the left of point F. So, point C is less than point F. The first statement is wrong.
- All the points are on the different locations on the number line. So, all the points represent different numbers. The second statement is also wrong.
- Point D is on the left of point C. So, the number represented by point D is less than the number represented by point C. The third statement is correct.
- Point F is on the rightmost location. So, it is the greatest number. The fourth statement is wrong.
- Point E is on the leftmost location. So, the number represented by point E is the smallest among the given 6 points. The fifth statement is correct.
Therefore, the correct statements are third "Point D represents a number less than the number Point C represents", and fifth "Point E represents the smallest number of all the numbers represented by points".
For more details, refer to the link:
https://brainly.com/question/557284