Rounding Numbers: EnchantedLearning.com - Free Printable
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Step-by-step solution for: Rounding Numbers: EnchantedLearning.com
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Show Answer Key & Explanations
Step-by-step solution for: Rounding Numbers: EnchantedLearning.com
You’ve uploaded a worksheet that asks you to round numbers to different decimal places: tenths, hundredths, and thousandths. Let’s solve each section step by step.
---
## 🔹 SECTION 1: Round to the tenths place (1 decimal place)
To round to the tenths place, look at the hundredths digit (the second digit after the decimal).
- If it’s 5 or greater, round up the tenths digit.
- If it’s 4 or less, leave the tenths digit unchanged.
| Original Number | Rounded to Tenths |
|------------------|-------------------|
| 1.49 → | 1.5 |
| 2.25 → | 2.3 |
| 8.39 → | 8.4 |
| 5.76 → | 5.8 |
| 7.45 → | 7.5 |
| 3.46 → | 3.5 |
| 4.34 → | 4.3 |
| 9.45 → | 9.5 |
| 5.16 → | 5.2 |
| 1.17 → | 1.2 |
| 8.41 → | 8.4 |
| 1.90 → | 1.9 |
| 5.83 → | 5.8 |
| 2.88 → | 2.9 |
| 3.71 → | 3.7 |
> 💡 Note: 1.90 is already at tenths — but since hundredths is 0 (<5), it stays 1.9.
---
## 🔹 SECTION 2: Round to the hundredths place (2 decimal places)
Look at the thousandths digit (third digit after decimal).
- ≥5 → round up the hundredths digit
- ≤4 → keep hundredths digit
| Original Number | Rounded to Hundredths |
|------------------|------------------------|
| 1.623 → | 1.62 |
| 9.775 → | 9.78 |
| 8.333 → | 8.33 |
| 6.434 → | 6.43 |
| 5.955 → | 5.96 |
| 1.335 → | 1.34 |
| 0.411 → | 0.41 |
| 9.259 → | 9.26 |
| 5.830 → | 5.83 |
| 1.180 → | 1.18 |
| 8.551 → | 8.55 |
| 1.162 → | 1.16 |
| 5.113 → | 5.11 |
| 9.425 → | 9.43 |
| 3.741 → | 3.74 |
> 💡 Note: 5.830 → thousandths is 0 → no change → 5.83
> 1.180 → same logic → 1.18
---
## 🔹 SECTION 3: Round to the thousandths place (3 decimal places)
Look at the ten-thousandths digit (fourth digit after decimal).
- ≥5 → round up the thousandths digit
- ≤4 → keep thousandths digit
| Original Number | Rounded to Thousandths |
|------------------|-------------------------|
| 2.7256 → | 2.726 |
| 4.5577 → | 4.558 |
| 6.324 → | 6.324 |
| 75.2229 → | 75.223 |
| 7.5245 → | 7.525 |
| 84.5246 → | 84.525 |
| 48.9987 → | 48.999 |
| 39.1182 → | 39.118 |
> 💡 Note:
> - 6.324 has no fourth digit → treat as 6.3240 → 0 < 5 → stays 6.324
> - 39.1182 → fourth digit is 2 → <5 → stays 39.118
> - 48.9987 → fourth digit is 7 → round up 8 → becomes 9 → so 48.999
---
## ✔ Final Answer Summary:
```
1.5 3.5 8.4
2.3 4.3 1.9
8.4 9.5 5.8
5.8 5.2 2.9
7.5 1.2 3.7
```
```
1.62 1.34 8.55
9.78 0.41 1.16
8.33 9.26 5.11
6.43 5.83 9.43
5.96 1.18 3.74
```
```
2.726 7.525
4.558 84.525
6.324 48.999
75.223 39.118
```
---
✔ All done! Let me know if you’d like this formatted for printing or need explanations for specific numbers.
---
## 🔹 SECTION 1: Round to the tenths place (1 decimal place)
To round to the tenths place, look at the hundredths digit (the second digit after the decimal).
- If it’s 5 or greater, round up the tenths digit.
- If it’s 4 or less, leave the tenths digit unchanged.
✔ Solutions:
| Original Number | Rounded to Tenths |
|------------------|-------------------|
| 1.49 → | 1.5 |
| 2.25 → | 2.3 |
| 8.39 → | 8.4 |
| 5.76 → | 5.8 |
| 7.45 → | 7.5 |
| 3.46 → | 3.5 |
| 4.34 → | 4.3 |
| 9.45 → | 9.5 |
| 5.16 → | 5.2 |
| 1.17 → | 1.2 |
| 8.41 → | 8.4 |
| 1.90 → | 1.9 |
| 5.83 → | 5.8 |
| 2.88 → | 2.9 |
| 3.71 → | 3.7 |
> 💡 Note: 1.90 is already at tenths — but since hundredths is 0 (<5), it stays 1.9.
---
## 🔹 SECTION 2: Round to the hundredths place (2 decimal places)
Look at the thousandths digit (third digit after decimal).
- ≥5 → round up the hundredths digit
- ≤4 → keep hundredths digit
✔ Solutions:
| Original Number | Rounded to Hundredths |
|------------------|------------------------|
| 1.623 → | 1.62 |
| 9.775 → | 9.78 |
| 8.333 → | 8.33 |
| 6.434 → | 6.43 |
| 5.955 → | 5.96 |
| 1.335 → | 1.34 |
| 0.411 → | 0.41 |
| 9.259 → | 9.26 |
| 5.830 → | 5.83 |
| 1.180 → | 1.18 |
| 8.551 → | 8.55 |
| 1.162 → | 1.16 |
| 5.113 → | 5.11 |
| 9.425 → | 9.43 |
| 3.741 → | 3.74 |
> 💡 Note: 5.830 → thousandths is 0 → no change → 5.83
> 1.180 → same logic → 1.18
---
## 🔹 SECTION 3: Round to the thousandths place (3 decimal places)
Look at the ten-thousandths digit (fourth digit after decimal).
- ≥5 → round up the thousandths digit
- ≤4 → keep thousandths digit
✔ Solutions:
| Original Number | Rounded to Thousandths |
|------------------|-------------------------|
| 2.7256 → | 2.726 |
| 4.5577 → | 4.558 |
| 6.324 → | 6.324 |
| 75.2229 → | 75.223 |
| 7.5245 → | 7.525 |
| 84.5246 → | 84.525 |
| 48.9987 → | 48.999 |
| 39.1182 → | 39.118 |
> 💡 Note:
> - 6.324 has no fourth digit → treat as 6.3240 → 0 < 5 → stays 6.324
> - 39.1182 → fourth digit is 2 → <5 → stays 39.118
> - 48.9987 → fourth digit is 7 → round up 8 → becomes 9 → so 48.999
---
## ✔ Final Answer Summary:
Round to tenths:
```
1.5 3.5 8.4
2.3 4.3 1.9
8.4 9.5 5.8
5.8 5.2 2.9
7.5 1.2 3.7
```
Round to hundredths:
```
1.62 1.34 8.55
9.78 0.41 1.16
8.33 9.26 5.11
6.43 5.83 9.43
5.96 1.18 3.74
```
Round to thousandths:
```
2.726 7.525
4.558 84.525
6.324 48.999
75.223 39.118
```
---
✔ All done! Let me know if you’d like this formatted for printing or need explanations for specific numbers.
Parent Tip: Review the logic above to help your child master the concept of rounding to hundreds and thousands place worksheet.