Rounding Decimals Worksheet for practicing rounding numbers to the nearest tenth, hundredth, and thousandth.
Rounding Decimals Worksheet with problems to round numbers to the nearest tenth, hundredth, and thousandth, featuring a tree logo and Math Monks branding.
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Step-by-step solution for: Rounding Decimals Worksheets - Math Monks
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Show Answer Key & Explanations
Step-by-step solution for: Rounding Decimals Worksheets - Math Monks
Absolutely! Let’s solve this Rounding Decimals Worksheet step by step, explaining the rules for rounding to the nearest tenth, hundredth, and thousandth.
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## 📌 RULES FOR ROUNDING DECIMALS
To round a decimal number:
1. Identify the place value you are rounding to (e.g., tenths = 1st digit after decimal, hundredths = 2nd, thousandths = 3rd).
2. Look at the digit immediately to the right of that place.
- If it’s 5 or greater, round up the target digit by 1.
- If it’s 4 or less, leave the target digit unchanged.
3. Drop all digits to the right of the target place.
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# ✔ SECTION 1: ROUND TO THE NEAREST TENTH (1 decimal place)
We look at the hundredths place (2nd digit after decimal) to decide.
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1) 8.326 →
- Tenths digit: 3
- Hundredths digit: 2 → 2 < 5 → do not round up
- Answer: 8.3
2) 6.998 →
- Tenths digit: 9
- Hundredths digit: 9 → 9 ≥ 5 → round up 9 → becomes 10 → carry over
- So 6.9 → becomes 7.0
- Answer: 7.0
3) 9.83 →
- Tenths digit: 8
- Hundredths digit: 3 → 3 < 5 → no change
- Answer: 9.8
4) 51.711 →
- Tenths digit: 7
- Hundredths digit: 1 → 1 < 5 → no change
- Answer: 51.7
5) 687.817 →
- Tenths digit: 8
- Hundredths digit: 1 → 1 < 5 → no change
- Answer: 687.8
6) 19.07 →
- Tenths digit: 0
- Hundredths digit: 7 → 7 ≥ 5 → round up 0 → becomes 1
- Answer: 19.1
7) 432.080 →
- Tenths digit: 0
- Hundredths digit: 8 → 8 ≥ 5 → round up 0 → becomes 1
- Answer: 432.1
8) 483.37 →
- Tenths digit: 3
- Hundredths digit: 7 → 7 ≥ 5 → round up 3 → becomes 4
- Answer: 483.4
9) 59.42 →
- Tenths digit: 4
- Hundredths digit: 2 → 2 < 5 → no change
- Answer: 59.4
---
✔ Section 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
---
# ✔ SECTION 2: ROUND TO THE NEAREST HUNDREDTH (2 decimal places)
We look at the thousandths place (3rd digit after decimal).
---
1) 84.744 →
- Hundredths digit: 4
- Thousandths digit: 4 → 4 < 5 → no change
- Answer: 84.74
2) 6.883 →
- Hundredths digit: 8
- Thousandths digit: 3 → 3 < 5 → no change
- Answer: 6.88
3) 308.817 →
- Hundredths digit: 1
- Thousandths digit: 7 → 7 ≥ 5 → round up 1 → becomes 2
- Answer: 308.82
4) 66.663 →
- Hundredths digit: 6
- Thousandths digit: 3 → 3 < 5 → no change
- Answer: 66.66
5) 399.839 →
- Hundredths digit: 3
- Thousandths digit: 9 → 9 ≥ 5 → round up 3 → becomes 4
- Answer: 399.84
6) 409.723 →
- Hundredths digit: 2
- Thousandths digit: 3 → 3 < 5 → no change
- Answer: 409.72
7) 7.450 →
- Hundredths digit: 5
- Thousandths digit: 0 → 0 < 5 → no change
- Answer: 7.45
8) 117.855 →
- Hundredths digit: 5
- Thousandths digit: 5 → 5 ≥ 5 → round up 5 → becomes 6
- Answer: 117.86
9) 66.935 →
- Hundredths digit: 3
- Thousandths digit: 5 → 5 ≥ 5 → round up 3 → becomes 4
- Answer: 66.94
---
✔ Section 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
---
# ✔ SECTION 3: ROUND TO THE NEAREST THOUSANDTH (3 decimal places)
We look at the ten-thousandths place (4th digit after decimal).
---
1) 5.0016 →
- Thousandths digit: 1
- Ten-thousandths digit: 6 → 6 ≥ 5 → round up 1 → becomes 2
- Answer: 5.002
2) 6.1087 →
- Thousandths digit: 8
- Ten-thousandths digit: 7 → 7 ≥ 5 → round up 8 → becomes 9
- Answer: 6.109
3) 56.3008 →
- Thousandths digit: 0
- Ten-thousandths digit: 8 → 8 ≥ 5 → round up 0 → becomes 1
- Answer: 56.301
4) 106.7128 →
- Thousandths digit: 2
- Ten-thousandths digit: 8 → 8 ≥ 5 → round up 2 → becomes 3
- Answer: 106.713
5) 4.6687 →
- Thousandths digit: 8
- Ten-thousandths digit: 7 → 7 ≥ 5 → round up 8 → becomes 9
- Answer: 4.669
6) 49.9376 →
- Thousandths digit: 7
- Ten-thousandths digit: 6 → 6 ≥ 5 → round up 7 → becomes 8
- Answer: 49.938
7) 856.3981 →
- Thousandths digit: 8
- Ten-thousandths digit: 1 → 1 < 5 → no change
- Answer: 856.398
8) 69.6009 →
- Thousandths digit: 0
- Ten-thousandths digit: 9 → 9 ≥ 5 → round up 0 → becomes 1
- Answer: 69.601
9) 73.7896 →
- Thousandths digit: 9
- Ten-thousandths digit: 6 → 6 ≥ 5 → round up 9 → becomes 10 → carry over
- So 73.789 → becomes 73.790
- Answer: 73.790
---
✔ Section 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
---
## 🎉 Final Answer Sheet:
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
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
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
---
Let me know if you’d like a printable version or practice problems! 😊
---
## 📌 RULES FOR ROUNDING DECIMALS
To round a decimal number:
1. Identify the place value you are rounding to (e.g., tenths = 1st digit after decimal, hundredths = 2nd, thousandths = 3rd).
2. Look at the digit immediately to the right of that place.
- If it’s 5 or greater, round up the target digit by 1.
- If it’s 4 or less, leave the target digit unchanged.
3. Drop all digits to the right of the target place.
---
# ✔ SECTION 1: ROUND TO THE NEAREST TENTH (1 decimal place)
We look at the hundredths place (2nd digit after decimal) to decide.
---
1) 8.326 →
- Tenths digit: 3
- Hundredths digit: 2 → 2 < 5 → do not round up
- Answer: 8.3
2) 6.998 →
- Tenths digit: 9
- Hundredths digit: 9 → 9 ≥ 5 → round up 9 → becomes 10 → carry over
- So 6.9 → becomes 7.0
- Answer: 7.0
3) 9.83 →
- Tenths digit: 8
- Hundredths digit: 3 → 3 < 5 → no change
- Answer: 9.8
4) 51.711 →
- Tenths digit: 7
- Hundredths digit: 1 → 1 < 5 → no change
- Answer: 51.7
5) 687.817 →
- Tenths digit: 8
- Hundredths digit: 1 → 1 < 5 → no change
- Answer: 687.8
6) 19.07 →
- Tenths digit: 0
- Hundredths digit: 7 → 7 ≥ 5 → round up 0 → becomes 1
- Answer: 19.1
7) 432.080 →
- Tenths digit: 0
- Hundredths digit: 8 → 8 ≥ 5 → round up 0 → becomes 1
- Answer: 432.1
8) 483.37 →
- Tenths digit: 3
- Hundredths digit: 7 → 7 ≥ 5 → round up 3 → becomes 4
- Answer: 483.4
9) 59.42 →
- Tenths digit: 4
- Hundredths digit: 2 → 2 < 5 → no change
- Answer: 59.4
---
✔ Section 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
---
# ✔ SECTION 2: ROUND TO THE NEAREST HUNDREDTH (2 decimal places)
We look at the thousandths place (3rd digit after decimal).
---
1) 84.744 →
- Hundredths digit: 4
- Thousandths digit: 4 → 4 < 5 → no change
- Answer: 84.74
2) 6.883 →
- Hundredths digit: 8
- Thousandths digit: 3 → 3 < 5 → no change
- Answer: 6.88
3) 308.817 →
- Hundredths digit: 1
- Thousandths digit: 7 → 7 ≥ 5 → round up 1 → becomes 2
- Answer: 308.82
4) 66.663 →
- Hundredths digit: 6
- Thousandths digit: 3 → 3 < 5 → no change
- Answer: 66.66
5) 399.839 →
- Hundredths digit: 3
- Thousandths digit: 9 → 9 ≥ 5 → round up 3 → becomes 4
- Answer: 399.84
6) 409.723 →
- Hundredths digit: 2
- Thousandths digit: 3 → 3 < 5 → no change
- Answer: 409.72
7) 7.450 →
- Hundredths digit: 5
- Thousandths digit: 0 → 0 < 5 → no change
- Answer: 7.45
8) 117.855 →
- Hundredths digit: 5
- Thousandths digit: 5 → 5 ≥ 5 → round up 5 → becomes 6
- Answer: 117.86
9) 66.935 →
- Hundredths digit: 3
- Thousandths digit: 5 → 5 ≥ 5 → round up 3 → becomes 4
- Answer: 66.94
---
✔ Section 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
---
# ✔ SECTION 3: ROUND TO THE NEAREST THOUSANDTH (3 decimal places)
We look at the ten-thousandths place (4th digit after decimal).
---
1) 5.0016 →
- Thousandths digit: 1
- Ten-thousandths digit: 6 → 6 ≥ 5 → round up 1 → becomes 2
- Answer: 5.002
2) 6.1087 →
- Thousandths digit: 8
- Ten-thousandths digit: 7 → 7 ≥ 5 → round up 8 → becomes 9
- Answer: 6.109
3) 56.3008 →
- Thousandths digit: 0
- Ten-thousandths digit: 8 → 8 ≥ 5 → round up 0 → becomes 1
- Answer: 56.301
4) 106.7128 →
- Thousandths digit: 2
- Ten-thousandths digit: 8 → 8 ≥ 5 → round up 2 → becomes 3
- Answer: 106.713
5) 4.6687 →
- Thousandths digit: 8
- Ten-thousandths digit: 7 → 7 ≥ 5 → round up 8 → becomes 9
- Answer: 4.669
6) 49.9376 →
- Thousandths digit: 7
- Ten-thousandths digit: 6 → 6 ≥ 5 → round up 7 → becomes 8
- Answer: 49.938
7) 856.3981 →
- Thousandths digit: 8
- Ten-thousandths digit: 1 → 1 < 5 → no change
- Answer: 856.398
8) 69.6009 →
- Thousandths digit: 0
- Ten-thousandths digit: 9 → 9 ≥ 5 → round up 0 → becomes 1
- Answer: 69.601
9) 73.7896 →
- Thousandths digit: 9
- Ten-thousandths digit: 6 → 6 ≥ 5 → round up 9 → becomes 10 → carry over
- So 73.789 → becomes 73.790
- Answer: 73.790
---
✔ Section 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
---
## 🎉 Final Answer Sheet:
Round to the 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 the 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 the 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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Let me know if you’d like a printable version or practice problems! 😊
Parent Tip: Review the logic above to help your child master the concept of decimal worksheet for 5th graders.
