Final answer:
Out of the statements presented, two-elevenths being the smallest value plotted and five-elevenths being greater than seven-elevenths are false. Eight-elevenths falling between seven-elevenths and ten-elevenths, and two-elevenths being less than three-elevenths are true, while the statement that ten-elevenths is equal to 1 whole is false.
Step-by-step explanation:
Let's evaluate each statement given the information about a number line from 0 to 1 with 10 unnumbered points between 0 and 1, and circles on the third, seventh, and tenth points:
- Two-elevenths is the smallest value plotted on the number line: This is false because two out of eleven parts would be the second point, not the third.
- Eight-elevenths is between Seven-elevenths and Ten-elevenths: This is true, as eight-elevenths would logically fall between the seventh and tenth points.
- Five-elevenths is greater than Seven-elevenths: This is false because five-elevenths comes before seven-elevenths on the number line.
- Ten-elevenths is equal to 1 whole: This is false because ten-elevenths is not the same as one whole, which would be eleven-elevenths.
- Two-elevenths is less than Three-elevenths: This is true, as two-elevenths comes before three-elevenths on the number line.