Worksheet asking students to identify the interval between consecutive integers for various square roots on a number line.

- √30 lies between √25 = 5 and √36 = 6, so it is between 5 and 6. The consecutive integers are 5 and 6. The letter is A.
- √2 lies between √1 = 1 and √4 = 2, so it is between 1 and 2. The consecutive integers are 1 and 2. The letter is N.
- -√80 lies between -√81 = -9 and -√64 = -8, so it is between -9 and -8. The consecutive integers are -9 and -8. The letter is U.
- -√15 lies between -√16 = -4 and -√9 = -3, so it is between -4 and -3. The consecutive integers are -4 and -3. The letter is T.
- √217 lies between √196 = 14 and √225 = 15, so it is between 14 and 15. The consecutive integers are 14 and 15. The letter is U.
- √61 lies between √49 = 7 and √64 = 8, so it is between 7 and 8. The consecutive integers are 7 and 8. The letter is A.
- -√5 lies between -√9 = -3 and -√4 = -2, so it is between -3 and -2. The consecutive integers are -3 and -2. The letter is A.
- √80 lies between √64 = 8 and √81 = 9, so it is between 8 and 9. The consecutive integers are 8 and 9. The letter is O.
- -√167 lies between -√169 = -13 and -√144 = -12, so it is between -13 and -12. The consecutive integers are -13 and -12. The letter is E.
- √11 lies between √9 = 3 and √16 = 4, so it is between 3 and 4. The consecutive integers are 3 and 4. The letter is E.
- -√27 lies between -√36 = -6 and -√25 = -5, so it is between -6 and -5. The consecutive integers are -6 and -5. The letter is T.
- √150 lies between √144 = 12 and √169 = 13, so it is between 12 and 13. The consecutive integers are 12 and 13. The letter is A.
- √0.5 lies between √0 = 0 and √1 = 1, so it is between 0 and 1. The consecutive integers are 0 and 1. The letter is H.
- √1 lies between √1 = 1 and √4 = 2, but √1 = 1 exactly, so it is between 1 and 2. The consecutive integers are 1 and 2. The letter is E.

The sequence of letters is: A, N, U, T, U, A, A, O, E, E, T, A, H, E.