Rounding decimals worksheet for practicing rounding numbers to the nearest whole, tenth, and two decimal places.

Problem: Rounding Numbers to Different Precision Levels

The task involves rounding numbers to three different levels of precision:
1. To the nearest whole number
2. To the nearest tenth
3. To 2 decimal places (2dp)

Let's solve each section step by step.

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Section 1: Round these numbers to the nearest whole

#### Rules for rounding to the nearest whole:
- Look at the digit in the tenths place (the first digit after the decimal point).
- If it is 5 or greater, round up.
- If it is less than 5, round down.

#### Solutions:
1. 3.94 → The tenths digit is 9 (≥ 5), so round up: 4
2. 12.14 → The tenths digit is 1 (< 5), so round down: 12
3. 23.2 → The tenths digit is 2 (< 5), so round down: 23
4. 15.26 → The tenths digit is 2 (< 5), so round down: 15
5. 14.52 → The tenths digit is 5 (≥ 5), so round up: 15
6. 12.38 → The tenths digit is 3 (< 5), so round down: 12
7. 90.82 → The tenths digit is 8 (≥ 5), so round up: 91
8. 24.59 → The tenths digit is 5 (≥ 5), so round up: 25
9. 63.08 → The tenths digit is 0 (< 5), so round down: 63
10. 29.51 → The tenths digit is 5 (≥ 5), so round up: 30
11. 38.74 → The tenths digit is 7 (≥ 5), so round up: 39
12. 118.4 → The tenths digit is 4 (< 5), so round down: 118

#### Final Answers for Section 1:
1. 4
2. 12
3. 23
4. 15
5. 15
6. 12
7. 91
8. 25
9. 63
10. 30
11. 39
12. 118

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Section 2: Round these numbers to the nearest tenth

#### Rules for rounding to the nearest tenth:
- Look at the digit in the hundredths place (the second digit after the decimal point).
- If it is 5 or greater, round up the tenths digit.
- If it is less than 5, keep the tenths digit as is.

#### Solutions:
1. 4.83 → The hundredths digit is 3 (< 5), so keep the tenths digit: 4.8
2. 1.94 → The hundredths digit is 4 (< 5), so keep the tenths digit: 1.9
3. 15.28 → The hundredths digit is 8 (≥ 5), so round up the tenths digit: 15.3
4. 19.31 → The hundredths digit is 1 (< 5), so keep the tenths digit: 19.3
5. 3.97 → The hundredths digit is 7 (≥ 5), so round up the tenths digit: 4.0
6. 0.74 → The hundredths digit is 4 (< 5), so keep the tenths digit: 0.7
7. 7.016 → The hundredths digit is 1 (< 5), so keep the tenths digit: 7.0
8. 19.372 → The hundredths digit is 7 (≥ 5), so round up the tenths digit: 19.4
9. 90.024 → The hundredths digit is 2 (< 5), so keep the tenths digit: 90.0
10. 83.23 → The hundredths digit is 3 (< 5), so keep the tenths digit: 83.2
11. 9.567 → The hundredths digit is 6 (≥ 5), so round up the tenths digit: 9.6
12. 0.417 → The hundredths digit is 1 (< 5), so keep the tenths digit: 0.4

#### Final Answers for Section 2:
1. 4.8
2. 1.9
3. 15.3
4. 19.3
5. 4.0
6. 0.7
7. 7.0
8. 19.4
9. 90.0
10. 83.2
11. 9.6
12. 0.4

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Section 3: Round these numbers to 2dp

#### Rules for rounding to 2 decimal places:
- Look at the digit in the thousandths place (the third digit after the decimal point).
- If it is 5 or greater, round up the hundredths digit.
- If it is less than 5, keep the hundredths digit as is.

#### Solutions:
1. 1.174 → The thousandths digit is 4 (< 5), so keep the hundredths digit: 1.17
2. 5.029 → The thousandths digit is 9 (≥ 5), so round up the hundredths digit: 5.03
3. 0.017 → The thousandths digit is 7 (≥ 5), so round up the hundredths digit: 0.02
4. 15.264 → The thousandths digit is 4 (< 5), so keep the hundredths digit: 15.26
5. 3.996 → The thousandths digit is 6 (≥ 5), so round up the hundredths digit: 4.00
6. 1.083 → The thousandths digit is 3 (< 5), so keep the hundredths digit: 1.08
7. 24.361 → The thousandths digit is 1 (< 5), so keep the hundredths digit: 24.36
8. 0.9017 → The thousandths digit is 1 (< 5), so keep the hundredths digit: 0.90
9. 2.818 → The thousandths digit is 8 (≥ 5), so round up the hundredths digit: 2.82
10. 4.617 → The thousandths digit is 7 (≥ 5), so round up the hundredths digit: 4.62
11. 6.301 → The thousandths digit is 1 (< 5), so keep the hundredths digit: 6.30
12. 0.0752 → The thousandths digit is 5 (≥ 5), so round up the hundredths digit: 0.08
13. 1.2837 → The thousandths digit is 3 (< 5), so keep the hundredths digit: 1.28
14. 8.295 → The thousandths digit is 5 (≥ 5), so round up the hundredths digit: 8.30
15. 14.004 → The thousandths digit is 4 (< 5), so keep the hundredths digit: 14.00

#### Final Answers for Section 3:
1. 1.17
2. 5.03
3. 0.02
4. 15.26
5. 4.00
6. 1.08
7. 24.36
8. 0.90
9. 2.82
10. 4.62
11. 6.30
12. 0.08
13. 1.28
14. 8.30
15. 14.00

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Final Answer:

\[
\boxed{
\begin{array}{l}
\text{Section 1: } 4, 12, 23, 15, 15, 12, 91, 25, 63, 30, 39, 118 \\
\text{Section 2: } 4.8, 1.9, 15.3, 19.3, 4.0, 0.7, 7.0, 19.4, 90.0, 83.2, 9.6, 0.4 \\
\text{Section 3: } 1.17, 5.03, 0.02, 15.26, 4.00, 1.08, 24.36, 0.90, 2.82, 4.62, 6.30, 0.08, 1.28, 8.30, 14.00
\end{array}
}
\]