Rounding numbers to the nearest whole and tenth place worksheet.
Rounding up to 2 decimal places worksheet with numbered problems and answer spaces.
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Step-by-step solution for: Rounding Decimal Places - Rounding numbers to 2dp
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Show Answer Key & Explanations
Step-by-step solution for: Rounding Decimal Places - Rounding numbers to 2dp
It looks like you've uploaded a worksheet titled "Rounding Up to 2 Decimal Places, Sheet 1" from Math-Salamanders.com, which includes several rounding exercises. Since I can't view images directly, I’ll solve the problems based on the text you provided in your message.
Let’s go through each problem step by step and round each number to 2 decimal places.
---
> This section is about rounding to the nearest whole number, not two decimal places. So we'll round to the nearest integer.
1. 5.304 →
Look at the tenths place: 3 < 5 → round down → 5
2. 18.236 →
Tenths digit = 2 < 5 → 18
3. 75.902 →
Tenths digit = 9 ≥ 5 → round up → 76
4. 108.251 →
Tenths digit = 2 < 5 → 108
5. 21.54 →
Tenths digit = 5 → round up → 22
6. 81.629 →
Tenths digit = 6 ≥ 5 → 82
7. 118.86 →
Tenths digit = 8 ≥ 5 → 119
8. 113.08 →
Tenths digit = 0 < 5 → 113
9. 11.312 →
Tenths digit = 3 < 5 → 11
10. 38.429 →
Tenths digit = 4 < 5 → 38
11. 38.158 →
Tenths digit = 1 < 5 → 38
12. 113.194 →
Tenths digit = 1 < 5 → 113
✔ Rounded to nearest whole number:
| Original | Rounded |
|--------|--------|
| 5.304 | 5 |
| 18.236 | 18 |
| 75.902 | 76 |
| 108.251 | 108 |
| 21.54 | 22 |
| 81.629 | 82 |
| 118.86 | 119 |
| 113.08 | 113 |
| 11.312 | 11 |
| 38.429 | 38 |
| 38.158 | 38 |
| 113.194 | 113 |
---
Now rounding to one decimal place (tenths).
1. 18.483 →
Look at hundredths place: 8 ≥ 5 → round up → 18.5
2. 48.18 →
Hundredths = 0 (implied) → 48.2? Wait: 48.18 → hundredths = 8 ≥ 5 → round up → 48.2
3. 73.686 →
Hundredths = 8 ≥ 5 → round up → 73.7
4. 121.812 →
Hundredths = 1 < 5 → 121.8
5. 31.154 →
Hundredths = 5 → round up → 31.2
6. 51.597 →
Hundredths = 9 ≥ 5 → 51.6
7. 81.372 →
Hundredths = 7 ≥ 5 → 81.4
8. 109.024 →
Hundredths = 2 < 5 → 109.0
9. 155.867 →
Hundredths = 6 ≥ 5 → 155.9
10. 51.847 →
Hundredths = 4 < 5 → 51.8
✔ Rounded to nearest tenth:
| Original | Rounded |
|--------|--------|
| 18.483 | 18.5 |
| 48.18 | 48.2 |
| 73.686 | 73.7 |
| 121.812 | 121.8 |
| 31.154 | 31.2 |
| 51.597 | 51.6 |
| 81.372 | 81.4 |
| 109.024 | 109.0 |
| 155.867 | 155.9 |
| 51.847 | 51.8 |
---
Now rounding to two decimal places (hundredths). Look at the thousandths digit (third decimal place).
1. 31.119 →
Thousandths = 9 ≥ 5 → round up → 31.12
2. 18.1596 →
Thousandths = 9 ≥ 5 → round up → 18.16
3. 33.4186 →
Thousandths = 8 ≥ 5 → round up → 33.42
4. 50.6427 →
Thousandths = 2 < 5 → 50.64
5. 131.2107 →
Thousandths = 0 < 5 → 131.21
6. 21.5829 →
Thousandths = 2 < 5 → 21.58
7. 80.599 →
Thousandths = 9 ≥ 5 → round up → 80.60
8. 100.9012 →
Thousandths = 1 < 5 → 100.90
9. 116.301 →
Thousandths = 0 < 5 → 116.30
10. 140.829 →
Thousandths = 9 ≥ 5 → round up → 140.83
11. 11.0807 →
Thousandths = 0 < 5 → 11.08
12. 41.888 →
Thousandths = 8 ≥ 5 → round up → 41.89
13. 110.999 →
Thousandths = 9 ≥ 5 → round up → 111.00
14. 110.0572 →
Thousandths = 7 ≥ 5 → round up → 110.06
15. 131.8408 →
Thousandths = 0 < 5 → 131.84
✔ Rounded to 2 decimal places:
| Original | Rounded |
|--------|--------|
| 31.119 | 31.12 |
| 18.1596 | 18.16 |
| 33.4186 | 33.42 |
| 50.6427 | 50.64 |
| 131.2107 | 131.21 |
| 21.5829 | 21.58 |
| 80.599 | 80.60 |
| 100.9012 | 100.90 |
| 116.301 | 116.30 |
| 140.829 | 140.83 |
| 11.0807 | 11.08 |
| 41.888 | 41.89 |
| 110.999 | 111.00 |
| 110.0572 | 110.06 |
| 131.8408 | 131.84 |
---
#### Nearest Whole Number
- 5.304 → 5
- 18.236 → 18
- 75.902 → 76
- 108.251 → 108
- 21.54 → 22
- 81.629 → 82
- 118.86 → 119
- 113.08 → 113
- 11.312 → 11
- 38.429 → 38
- 38.158 → 38
- 113.194 → 113
#### Nearest Tenth
- 18.483 → 18.5
- 48.18 → 48.2
- 73.686 → 73.7
- 121.812 → 121.8
- 31.154 → 31.2
- 51.597 → 51.6
- 81.372 → 81.4
- 109.024 → 109.0
- 155.867 → 155.9
- 51.847 → 51.8
#### To 2 Decimal Places
- 31.119 → 31.12
- 18.1596 → 18.16
- 33.4186 → 33.42
- 50.6427 → 50.64
- 131.2107 → 131.21
- 21.5829 → 21.58
- 80.599 → 80.60
- 100.9012 → 100.90
- 116.301 → 116.30
- 140.829 → 140.83
- 11.0807 → 11.08
- 41.888 → 41.89
- 110.999 → 111.00
- 110.0572 → 110.06
- 131.8408 → 131.84
---
- To round to a certain place, look at the next digit.
- If it's 5 or more, round up.
- If it's less than 5, round down.
- For example, rounding 110.999 to 2dp:
- 2nd decimal: 9
- 3rd decimal: 9 → ≥ 5 → round up → 110.99 + 0.01 = 111.00
Let me know if you'd like this formatted as a printable answer sheet!
Let’s go through each problem step by step and round each number to 2 decimal places.
---
🔹 Round these numbers to the nearest whole number
> This section is about rounding to the nearest whole number, not two decimal places. So we'll round to the nearest integer.
1. 5.304 →
Look at the tenths place: 3 < 5 → round down → 5
2. 18.236 →
Tenths digit = 2 < 5 → 18
3. 75.902 →
Tenths digit = 9 ≥ 5 → round up → 76
4. 108.251 →
Tenths digit = 2 < 5 → 108
5. 21.54 →
Tenths digit = 5 → round up → 22
6. 81.629 →
Tenths digit = 6 ≥ 5 → 82
7. 118.86 →
Tenths digit = 8 ≥ 5 → 119
8. 113.08 →
Tenths digit = 0 < 5 → 113
9. 11.312 →
Tenths digit = 3 < 5 → 11
10. 38.429 →
Tenths digit = 4 < 5 → 38
11. 38.158 →
Tenths digit = 1 < 5 → 38
12. 113.194 →
Tenths digit = 1 < 5 → 113
✔ Rounded to nearest whole number:
| Original | Rounded |
|--------|--------|
| 5.304 | 5 |
| 18.236 | 18 |
| 75.902 | 76 |
| 108.251 | 108 |
| 21.54 | 22 |
| 81.629 | 82 |
| 118.86 | 119 |
| 113.08 | 113 |
| 11.312 | 11 |
| 38.429 | 38 |
| 38.158 | 38 |
| 113.194 | 113 |
---
🔹 Round these numbers to the nearest tenth
Now rounding to one decimal place (tenths).
1. 18.483 →
Look at hundredths place: 8 ≥ 5 → round up → 18.5
2. 48.18 →
Hundredths = 0 (implied) → 48.2? Wait: 48.18 → hundredths = 8 ≥ 5 → round up → 48.2
3. 73.686 →
Hundredths = 8 ≥ 5 → round up → 73.7
4. 121.812 →
Hundredths = 1 < 5 → 121.8
5. 31.154 →
Hundredths = 5 → round up → 31.2
6. 51.597 →
Hundredths = 9 ≥ 5 → 51.6
7. 81.372 →
Hundredths = 7 ≥ 5 → 81.4
8. 109.024 →
Hundredths = 2 < 5 → 109.0
9. 155.867 →
Hundredths = 6 ≥ 5 → 155.9
10. 51.847 →
Hundredths = 4 < 5 → 51.8
✔ Rounded to nearest tenth:
| Original | Rounded |
|--------|--------|
| 18.483 | 18.5 |
| 48.18 | 48.2 |
| 73.686 | 73.7 |
| 121.812 | 121.8 |
| 31.154 | 31.2 |
| 51.597 | 51.6 |
| 81.372 | 81.4 |
| 109.024 | 109.0 |
| 155.867 | 155.9 |
| 51.847 | 51.8 |
---
🔹 Round these numbers to 2dp
Now rounding to two decimal places (hundredths). Look at the thousandths digit (third decimal place).
1. 31.119 →
Thousandths = 9 ≥ 5 → round up → 31.12
2. 18.1596 →
Thousandths = 9 ≥ 5 → round up → 18.16
3. 33.4186 →
Thousandths = 8 ≥ 5 → round up → 33.42
4. 50.6427 →
Thousandths = 2 < 5 → 50.64
5. 131.2107 →
Thousandths = 0 < 5 → 131.21
6. 21.5829 →
Thousandths = 2 < 5 → 21.58
7. 80.599 →
Thousandths = 9 ≥ 5 → round up → 80.60
8. 100.9012 →
Thousandths = 1 < 5 → 100.90
9. 116.301 →
Thousandths = 0 < 5 → 116.30
10. 140.829 →
Thousandths = 9 ≥ 5 → round up → 140.83
11. 11.0807 →
Thousandths = 0 < 5 → 11.08
12. 41.888 →
Thousandths = 8 ≥ 5 → round up → 41.89
13. 110.999 →
Thousandths = 9 ≥ 5 → round up → 111.00
14. 110.0572 →
Thousandths = 7 ≥ 5 → round up → 110.06
15. 131.8408 →
Thousandths = 0 < 5 → 131.84
✔ Rounded to 2 decimal places:
| Original | Rounded |
|--------|--------|
| 31.119 | 31.12 |
| 18.1596 | 18.16 |
| 33.4186 | 33.42 |
| 50.6427 | 50.64 |
| 131.2107 | 131.21 |
| 21.5829 | 21.58 |
| 80.599 | 80.60 |
| 100.9012 | 100.90 |
| 116.301 | 116.30 |
| 140.829 | 140.83 |
| 11.0807 | 11.08 |
| 41.888 | 41.89 |
| 110.999 | 111.00 |
| 110.0572 | 110.06 |
| 131.8408 | 131.84 |
---
✔ Final Answer Summary
#### Nearest Whole Number
- 5.304 → 5
- 18.236 → 18
- 75.902 → 76
- 108.251 → 108
- 21.54 → 22
- 81.629 → 82
- 118.86 → 119
- 113.08 → 113
- 11.312 → 11
- 38.429 → 38
- 38.158 → 38
- 113.194 → 113
#### Nearest Tenth
- 18.483 → 18.5
- 48.18 → 48.2
- 73.686 → 73.7
- 121.812 → 121.8
- 31.154 → 31.2
- 51.597 → 51.6
- 81.372 → 81.4
- 109.024 → 109.0
- 155.867 → 155.9
- 51.847 → 51.8
#### To 2 Decimal Places
- 31.119 → 31.12
- 18.1596 → 18.16
- 33.4186 → 33.42
- 50.6427 → 50.64
- 131.2107 → 131.21
- 21.5829 → 21.58
- 80.599 → 80.60
- 100.9012 → 100.90
- 116.301 → 116.30
- 140.829 → 140.83
- 11.0807 → 11.08
- 41.888 → 41.89
- 110.999 → 111.00
- 110.0572 → 110.06
- 131.8408 → 131.84
---
📝 Explanation of Rounding Rules:
- To round to a certain place, look at the next digit.
- If it's 5 or more, round up.
- If it's less than 5, round down.
- For example, rounding 110.999 to 2dp:
- 2nd decimal: 9
- 3rd decimal: 9 → ≥ 5 → round up → 110.99 + 0.01 = 111.00
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of rounding place value worksheet.