rounding decimals Worksheets - Free Printable

The image you've uploaded is a "Rounding Decimals" worksheet with an answer key. The task is to round various decimal numbers to specified place values (whole number, tenth, hundredth), and the correct answers are already provided.

Let me go through each problem and explain the rounding process step-by-step so you understand how each answer was derived.

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🔢 Rounding Rules Recap:

- Look at the digit immediately to the right of the place you're rounding to.
- If that digit is 5 or greater, round up.
- If it's less than 5, round down (keep the digit the same).

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✔ Problem-by-Problem Explanation:

1. 9.8 → Round to nearest whole number
- Look at tenths place: 8 ≥ 5 → round up
- 9 + 1 = 10 ✔

2. 92.5 → Round to nearest whole number
- Tenths digit: 5 → round up
- 92 + 1 = 93 ✔

3. 20.003 → Round to nearest tenth
- Tenth place is 0, look at hundredths: 0 < 5 → keep 0
- So, 20.0 ✔

4. 7.655 → Round to nearest whole number
- Tenths digit: 6 ≥ 5 → round up
- 7 + 1 = 8 ✔

5. 44.242 → Round to nearest hundredth
- Hundredths place is 4, thousandths is 2 < 5 → keep 4
- So, 44.24 ✔

6. 5.5 → Round to nearest whole number
- Tenths digit: 5 → round up
- 5 + 1 = 6 ✔

7. 30.6 → Round to nearest whole number
- Tenths digit: 6 ≥ 5 → round up
- 30 + 1 = 31 ✔

8. 78.15 → Round to nearest whole number
- Tenths digit: 1 < 5 → round down
- Keep 78 → 78 ✔

9. 3.59 → Round to nearest tenth
- Tenths place: 5, hundredths: 9 ≥ 5 → round up
- 3.5 + 0.1 = 3.6 ✔

10. 674.1 → Round to nearest whole number
- Tenths digit: 1 < 5 → round down
- 674 ✔

11. 7.329 → Round to nearest hundredth
- Hundredths: 2, thousandths: 9 ≥ 5 → round up
- 7.32 + 0.01 = 7.33 ✔

12. 7.306 → Round to nearest hundredth
- Hundredths: 0, thousandths: 6 ≥ 5 → round up
- 7.30 + 0.01 = 7.31 ✔

13. 39.58 → Round to nearest tenth
- Tenths: 5, hundredths: 8 ≥ 5 → round up
- 39.5 + 0.1 = 39.6 ✔

14. 415.30 → Round to nearest tenth
- Tenths: 3, hundredths: 0 < 5 → keep 3
- 415.3 ✔

15. 55.882 → Round to nearest hundredth
- Hundredths: 8, thousandths: 2 < 5 → keep 8
- 55.88 ✔

16. 536.909 → Round to nearest tenth
- Tenths: 9, hundredths: 0 < 5 → keep 9
- 536.9 ✔

17. 71.577 → Round to nearest hundredth
- Hundredths: 7, thousandths: 7 ≥ 5 → round up
- 71.57 + 0.01 = 71.58 ✔

18. 638.105 → Round to nearest tenth
- Tenths: 1, hundredths: 0 < 5 → keep 1
- 638.1 ✔

19. 29.738 → Round to nearest hundredth
- Hundredths: 3, thousandths: 8 ≥ 5 → round up
- 29.73 + 0.01 = 29.74 ✔

20. 159.243 → Round to nearest hundredth
- Hundredths: 4, thousandths: 3 < 5 → keep 4
- 159.24 ✔

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📌 Summary:

All the answers in the Answer Key are correct and follow standard rounding rules. Each step involves identifying the target digit and checking the next one to decide whether to round up or down.

✔ Final Answer: All answers on the key are accurate based on proper rounding techniques.

Let me know if you'd like this turned into a printable explanation sheet or need help creating similar problems!