Round Off Decimals worksheet - Free Printable

Problem Explanation:

The task involves rounding off decimal numbers to the nearest whole number. Rounding rules are as follows:
- If the decimal part is less than 0.5, round down to the nearest whole number.
- If the decimal part is 0.5 or greater, round up to the nearest whole number.

Additionally, there is a matching exercise where specific numbers need to be matched to their nearest whole numbers using arrows.

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Solution:

#### Part 1: Round off the given numbers to the nearest whole numbers
We will apply the rounding rules to each number:

1. 5.7: The decimal part is 0.7 (greater than 0.5), so round up to 6.
2. 2.8: The decimal part is 0.8 (greater than 0.5), so round up to 3.
3. 6.5: The decimal part is 0.5 (equal to 0.5), so round up to 7.
4. 8.4: The decimal part is 0.4 (less than 0.5), so round down to 8.
5. 1.4: The decimal part is 0.4 (less than 0.5), so round down to 1.
6. 9.0: The decimal part is 0.0 (less than 0.5), so round down to 9.
7. 4.5: The decimal part is 0.5 (equal to 0.5), so round up to 5.
8. 2.4: The decimal part is 0.4 (less than 0.5), so round down to 2.
9. 5.7: The decimal part is 0.7 (greater than 0.5), so round up to 6.
10. 9.6: The decimal part is 0.6 (greater than 0.5), so round up to 10.
11. 12.3: The decimal part is 0.3 (less than 0.5), so round down to 12.
12. 14.1: The decimal part is 0.1 (less than 0.5), so round down to 14.
13. 17.1: The decimal part is 0.1 (less than 0.5), so round down to 17.
14. 26.6: The decimal part is 0.6 (greater than 0.5), so round up to 27.
15. 32.5: The decimal part is 0.5 (equal to 0.5), so round up to 33.
16. 22.4: The decimal part is 0.4 (less than 0.5), so round down to 22.
17. 14.8: The decimal part is 0.8 (greater than 0.5), so round up to 15.
18. 40.6: The decimal part is 0.6 (greater than 0.5), so round up to 41.
19. 9.6: The decimal part is 0.6 (greater than 0.5), so round up to 10.
20. 63.4: The decimal part is 0.4 (less than 0.5), so round down to 63.
21. 35.3: The decimal part is 0.3 (less than 0.5), so round down to 35.
22. 4.37: The decimal part is 0.37 (less than 0.5), so round down to 4.
23. 8.72: The decimal part is 0.72 (greater than 0.5), so round up to 9.
24. 2.48: The decimal part is 0.48 (less than 0.5), so round down to 2.

The completed table is:

| Number | Rounded to Nearest Whole Number |
|--------|----------------------------------|
| 1) 5.7 | 6 |
| 2) 2.8 | 3 |
| 3) 6.5 | 7 |
| 4) 8.4 | 8 |
| 5) 1.4 | 1 |
| 6) 9.0 | 9 |
| 7) 4.5 | 5 |
| 8) 2.4 | 2 |
| 9) 5.7 | 6 |
| 10) 9.6 | 10 |
| 11) 12.3 | 12 |
| 12) 14.1 | 14 |
| 13) 17.1 | 17 |
| 14) 26.6 | 27 |
| 15) 32.5 | 33 |
| 16) 22.4 | 22 |
| 17) 14.8 | 15 |
| 18) 40.6 | 41 |
| 19) 9.6 | 10 |
| 20) 63.4 | 63 |
| 21) 35.3 | 35 |
| 22) 4.37 | 4 |
| 23) 8.72 | 9 |
| 24) 2.48 | 2 |

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#### Part 2: Match each number to its nearest whole number
We will match the given numbers to their nearest whole numbers:

- 3.6: The decimal part is 0.6 (greater than 0.5), so round up to 4.
- 2.4: The decimal part is 0.4 (less than 0.5), so round down to 2.
- 4.8: The decimal part is 0.8 (greater than 0.5), so round up to 5.
- 9.17: The decimal part is 0.17 (less than 0.5), so round down to 9.
- 7.5: The decimal part is 0.5 (equal to 0.5), so round up to 8.
- 0.6: The decimal part is 0.6 (greater than 0.5), so round up to 1.
- 5.5: The decimal part is 0.5 (equal to 0.5), so round up to 6.
- 3.29: The decimal part is 0.29 (less than 0.5), so round down to 3.
- 6.55: The decimal part is 0.55 (greater than 0.5), so round up to 7.

The matches are:

- 3.6 → 4
- 2.4 → 2
- 4.8 → 5
- 9.17 → 9
- 7.5 → 8
- 0.6 → 1
- 5.5 → 6
- 3.29 → 3
- 6.55 → 7

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Final Answer:

#### Part 1:
\[
\boxed{
\begin{array}{lll}
1) & 5.7 \to 6 & 2) & 2.8 \to 3 & 3) & 6.5 \to 7 \\
4) & 8.4 \to 8 & 5) & 1.4 \to 1 & 6) & 9.0 \to 9 \\
7) & 4.5 \to 5 & 8) & 2.4 \to 2 & 9) & 5.7 \to 6 \\
10) & 9.6 \to 10 & 11) & 12.3 \to 12 & 12) & 14.1 \to 14 \\
13) & 17.1 \to 17 & 14) & 26.6 \to 27 & 15) & 32.5 \to 33 \\
16) & 22.4 \to 22 & 17) & 14.8 \to 15 & 18) & 40.6 \to 41 \\
19) & 9.6 \to 10 & 20) & 63.4 \to 63 & 21) & 35.3 \to 35 \\
22) & 4.37 \to 4 & 23) & 8.72 \to 9 & 24) & 2.48 \to 2 \\
\end{array}
}
\]

#### Part 2:
\[
\boxed{
\begin{array}{ll}
3.6 \to 4 & 2.4 \to 2 \\
4.8 \to 5 & 9.17 \to 9 \\
7.5 \to 8 & 0.6 \to 1 \\
5.5 \to 6 & 3.29 \to 3 \\
6.55 \to 7 &
\end{array}
}
\]