Rounding Decimals Worksheets - Math Monks - Free Printable

Let's solve this Rounding Decimals Worksheet step by step. We'll go through each section and explain the rounding rules.

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🔹 Rule for Rounding:

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

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## ✔ Part 1: Round to the Nearest Tenth (1 decimal place)

We look at the hundredths place (second digit after decimal) to decide.

1) 8.326 → Look at hundredths = 2 → less than 5 → round down
→ 8.3

2) 6.998 → Hundredths = 9 → ≥ 5 → round up
→ 6.9 + 0.1 = 7.0

3) 9.83 → Hundredths = 3 → < 5 → round down
→ 9.8

4) 51.711 → Hundredths = 1 → < 5 → round down
→ 51.7

5) 687.817 → Hundredths = 1 → < 5 → round down
→ 687.8

6) 19.07 → Hundredths = 7 → ≥ 5 → round up
→ 19.0 + 0.1 = 19.1

7) 432.080 → Hundredths = 8 → ≥ 5 → round up
→ 432.0 + 0.1 = 432.1

8) 483.37 → Hundredths = 7 → ≥ 5 → round up
→ 483.3 + 0.1 = 483.4

9) 59.42 → Hundredths = 2 → < 5 → round down
→ 59.4

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✔ Part 1 Answers:

1) 8.3
2) 7.0
3) 9.8
4) 51.7
5) 687.8
6) 19.1
7) 432.1
8) 483.4
9) 59.4

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## ✔ Part 2: Round to the Nearest Hundredth (2 decimal places)

Look at the thousandths place (third digit after decimal).

1) 84.744 → Thousandths = 4 → < 5 → round down
→ 84.74

2) 6.883 → Thousandths = 3 → < 5 → round down
→ 6.88

3) 308.817 → Thousandths = 7 → ≥ 5 → round up
→ 308.81 + 0.01 = 308.82

4) 66.663 → Thousandths = 3 → < 5 → round down
→ 66.66

5) 399.839 → Thousandths = 9 → ≥ 5 → round up
→ 399.83 + 0.01 = 399.84

6) 409.723 → Thousandths = 3 → < 5 → round down
→ 409.72

7) 7.450 → Thousandths = 0 → < 5 → round down
→ 7.45

8) 117.855 → Thousandths = 5 → ≥ 5 → round up
→ 117.85 + 0.01 = 117.86

9) 66.935 → Thousandths = 5 → ≥ 5 → round up
→ 66.93 + 0.01 = 66.94

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✔ Part 2 Answers:

1) 84.74
2) 6.88
3) 308.82
4) 66.66
5) 399.84
6) 409.72
7) 7.45
8) 117.86
9) 66.94

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## ✔ Part 3: Round to the Nearest Thousandth (3 decimal places)

Look at the ten-thousandths place (fourth digit after decimal).

1) 5.0016 → Ten-thousandths = 6 → ≥ 5 → round up
→ 5.001 + 0.001 = 5.002

2) 6.1087 → Ten-thousandths = 7 → ≥ 5 → round up
→ 6.108 + 0.001 = 6.109

3) 56.3008 → Ten-thousandths = 8 → ≥ 5 → round up
→ 56.300 + 0.001 = 56.301

4) 106.7128 → Ten-thousandths = 8 → ≥ 5 → round up
→ 106.712 + 0.001 = 106.713

5) 4.6687 → Ten-thousandths = 7 → ≥ 5 → round up
→ 4.668 + 0.001 = 4.669

6) 49.9376 → Ten-thousandths = 6 → ≥ 5 → round up
→ 49.937 + 0.001 = 49.938

7) 856.3981 → Ten-thousandths = 1 → < 5 → round down
→ 856.398

8) 69.6009 → Ten-thousandths = 9 → ≥ 5 → round up
→ 69.600 + 0.001 = 69.601

9) 73.7896 → Ten-thousandths = 6 → ≥ 5 → round up
→ 73.789 + 0.001 = 73.790

> Note: 73.790 is the same as 73.79, but since we’re rounding to thousandths, we keep three decimal places.

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✔ Part 3 Answers:

1) 5.002
2) 6.109
3) 56.301
4) 106.713
5) 4.669
6) 49.938
7) 856.398
8) 69.601
9) 73.790

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📌 Final Answer Summary:

#### Round to Nearest Tenth:
1) 8.3
2) 7.0
3) 9.8
4) 51.7
5) 687.8
6) 19.1
7) 432.1
8) 483.4
9) 59.4

#### Round to Nearest Hundredth:
1) 84.74
2) 6.88
3) 308.82
4) 66.66
5) 399.84
6) 409.72
7) 7.45
8) 117.86
9) 66.94

#### Round to Nearest Thousandth:
1) 5.002
2) 6.109
3) 56.301
4) 106.713
5) 4.669
6) 49.938
7) 856.398
8) 69.601
9) 73.790

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✔ All answers are now complete and explained! Let me know if you'd like a printable version or further explanation on any step.