Rounding Numbers
1. **Problem 10:** Identify letters of numbers that round to 10.5 to the nearest tenth.
2. To round to the nearest tenth, look at the hundredths digit:
- If it is 5 or more, round up.
- If less than 5, round down.
3. Check each number:
- A: 10.81 → rounds to 10.8 (not 10.5)
- B: 10.56 → rounds to 10.6 (not 10.5)
- C: 10.32 → rounds to 10.3 (not 10.5)
- D: 10.65 → rounds to 10.7 (not 10.5)
- E: 10.44 → rounds to 10.4 (not 10.5)
- F: 10.57 → rounds to 10.6 (not 10.5)
- G: 10.44 → rounds to 10.4 (not 10.5)
- H: 10.43 → rounds to 10.4 (not 10.5)
- I: 19.8 → rounds to 19.8 (not 10.5)
- J: 10.48 → rounds to 10.5 (yes)
- K: 10.71 → rounds to 10.7 (not 10.5)
- L: 10.51 → rounds to 10.5 (yes)
- M: 10.58 → rounds to 10.6 (not 10.5)
- N: 10.55 → rounds to 10.6 (not 10.5)
- O: 9.24 → rounds to 9.2 (not 10.5)
- P: 10.59 → rounds to 10.6 (not 10.5)
- Q: 10.42 → rounds to 10.4 (not 10.5)
- R: 10.57 → rounds to 10.6 (not 10.5)
- S: 10.44 → rounds to 10.4 (not 10.5)
- T: 10.58 → rounds to 10.6 (not 10.5)
- U: 10.54 → rounds to 10.5 (yes)
- V: 16.25 → rounds to 16.3 (not 10.5)
- W: 10.05 → rounds to 10.1 (not 10.5)
- X: 10.35 → rounds to 10.4 (not 10.5)
- Y: 10.46 → rounds to 10.5 (yes)
- Z: 10.41 → rounds to 10.4 (not 10.5)
4. Letters rounding to 10.5: J, L, U, Y
5. Rearranging letters J, L, U, Y can form the word "JULY".
6. **Problem 11:** Complete the table rounding numbers to nearest tenth and hundredth.
| Number | To nearest tenth | To nearest hundredth |
|--------|------------------|---------------------|
| 12.705 | 12.7 | 12.71 |
| 10.169 | 10.2 | 10.17 |
| 629.099| 629.1 | 629.10 |
| 0.455 | 0.5 | 0.46 |
| 5.999 | 6.0 | 6.00 |
7. Explanation:
- To round to nearest tenth, look at hundredths digit.
- To round to nearest hundredth, look at thousandths digit.
Final answers:
- Problem 10 word: **JULY**
- Problem 11 table as above.