Rounding Numbers for Estimation worksheet with exercises for rounding to the nearest 10, 100, and 1000.

Problem Analysis:

The task involves rounding numbers to the nearest 10, 100, and 1000. The rules for rounding are as follows:
- Rounding to the nearest 10: Numbers ending in 5 or greater are rounded up; others are rounded down.
- Rounding to the nearest 100: Numbers ending in 50 or greater are rounded up; others are rounded down.
- Rounding to the nearest 1000: Numbers ending in 500 or greater are rounded up; others are rounded down.

Solution:

#### Part 1: Rounding to the nearest 10
We round each number to the nearest 10, with numbers ending in 5 being rounded up.

1. 92: Ends in 2 (less than 5), so round down → 90
2. 72: Ends in 2 (less than 5), so round down → 70
3. 45: Ends in 5, so round up → 50
4. 30: Ends in 0, already a multiple of 10 → 30
5. 75: Ends in 5, so round up → 80
6. 49: Ends in 9 (greater than 5), so round up → 50
7. 69: Ends in 9 (greater than 5), so round up → 70
8. 28: Ends in 8 (greater than 5), so round up → 30
9. 1: Ends in 1 (less than 5), so round down → 0
10. 14: Ends in 4 (less than 5), so round down → 10
11. 9: Ends in 9 (greater than 5), so round up → 10
12. 65: Ends in 5, so round up → 70

Answers for Part 1:
1) 90, 2) 70, 3) 50, 4) 30, 5) 80, 6) 50, 7) 70, 8) 30, 9) 0, 10) 10, 11) 10, 12) 70

#### Part 2: Rounding to the nearest 100
We round each number to the nearest 100, with numbers ending in 50 or greater being rounded up.

1. 281: Ends in 81 (greater than 50), so round up → 300
2. 908: Ends in 08 (less than 50), so round down → 900
3. 720: Ends in 20 (less than 50), so round down → 700
4. 786: Ends in 86 (greater than 50), so round up → 800
5. 305: Ends in 05 (equal to 50), so round up → 300
6. 450: Ends in 50, so round up → 500
7. 549: Ends in 49 (less than 50), so round down → 500
8. 852: Ends in 52 (greater than 50), so round up → 900
9. 234: Ends in 34 (less than 50), so round down → 200
10. 565: Ends in 65 (greater than 50), so round up → 600
11. 302: Ends in 02 (less than 50), so round down → 300
12. 692: Ends in 92 (greater than 50), so round up → 700

Answers for Part 2:
1) 300, 2) 900, 3) 700, 4) 800, 5) 300, 6) 500, 7) 500, 8) 900, 9) 200, 10) 600, 11) 300, 12) 700

#### Part 3: Rounding to the nearest 1000
We round each number to the nearest 1000, with numbers ending in 500 or greater being rounded up.

1. 2500: Ends in 500, so round up → 3000
2. 8493: Ends in 493 (less than 500), so round down → 8000
3. 5605: Ends in 605 (greater than 500), so round up → 6000
4. 3257: Ends in 257 (less than 500), so round down → 3000
5. 6406: Ends in 406 (less than 500), so round down → 6000
6. 8500: Ends in 500, so round up → 9000
7. 4449: Ends in 449 (less than 500), so round down → 4000
8. 9409: Ends in 409 (less than 500), so round down → 9000
9. 4100: Ends in 100 (less than 500), so round down → 4000
10. 5363: Ends in 363 (less than 500), so round down → 5000
11. 1500: Ends in 500, so round up → 2000
12. 9580: Ends in 580 (greater than 500), so round up → 10000

Answers for Part 3:
1) 3000, 2) 8000, 3) 6000, 4) 3000, 5) 6000, 6) 9000, 7) 4000, 8) 9000, 9) 4000, 10) 5000, 11) 2000, 12) 10000

Final Answer:

\[
\boxed{
\begin{array}{l}
\text{Part 1: } 90, 70, 50, 30, 80, 50, 70, 30, 0, 10, 10, 70 \\
\text{Part 2: } 300, 900, 700, 800, 300, 500, 500, 900, 200, 600, 300, 700 \\
\text{Part 3: } 3000, 8000, 6000, 3000, 6000, 9000, 4000, 9000, 4000, 5000, 2000, 10000
\end{array}
}
\]