1. **Stating the problem:** Round the number 14.9962 to (a) 2 decimal places and (b) the nearest 10.
2. **Rounding to 2 decimal places:**
- The number is 14.9962.
- Look at the third decimal place to decide whether to round the second decimal place up or keep it the same.
- The third decimal place is 6, which is greater than or equal to 5, so we round up.
3. **Calculation for 2 decimal places:**
$$14.9962 \approx 15.00$$
4. **Rounding to the nearest 10:**
- The number is 14.9962.
- Look at the units digit (4) to decide whether to round the tens digit up or keep it the same.
- Since 4 is less than 5, we round down.
5. **Calculation for nearest 10:**
$$14.9962 \approx 10$$
**Final answers:**
- (a) 15.00
- (b) 10
Rounding Numbers 814920
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.