Rounding numbers worksheets for students to practice rounding to the nearest 10 and nearest 100 using number lines.

You've uploaded two worksheets focused on rounding numbers — one for rounding to the nearest 10, and the other for rounding to the nearest 100.

Since you asked to “solve the problem and explain the solution,” I’ll solve both worksheets completely and explain the rules and reasoning behind each answer.

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## ✔ Worksheet 1: Rounding to the Nearest 10

Rule: Look at the ones digit (the digit in the ones place):
- If it’s 0–4, round down.
- If it’s 5–9, round up.
> *“If it’s right in the middle between the two tens, round up.”* — This means if the ones digit is 5, we round up.

Let’s go one by one:

| Number | Ones Digit | Round to Nearest 10 | Explanation |
|--------|------------|---------------------|-------------|
| 37 | 7 | 40 | 7 ≥ 5 → round up from 30 to 40 |
| 21 | 1 | 20 | 1 ≤ 4 → round down to 20 |
| 86 | 6 | 90 | 6 ≥ 5 → round up to 90 |
| 54 | 4 | 50 | 4 ≤ 4 → round down to 50 |
| 45 | 5 | 50 | 5 → round up (as instructed) |
| 63 | 3 | 60 | 3 ≤ 4 → round down to 60 |
| 98 | 8 | 100 | 8 ≥ 5 → round up to 100 |
| 75 | 5 | 80 | 5 → round up to 80 |

✔ Final Answers for Worksheet 1 (Rounding to Nearest 10):

```
37 → 40
21 → 20
86 → 90
54 → 50
45 → 50
63 → 60
98 → 100
75 → 80
```

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## ✔ Worksheet 2: Rounding to the Nearest 100 on a Number Line

Rule: Look at the tens digit (the digit in the tens place):
- If it’s 0–4, round down to the lower hundred.
- If it’s 5–9, round up to the higher hundred.
> *“If it’s right in the middle between the two hundreds, round up.”* — This means if the tens digit is 5 (and ones are 0), like 350, we round up.

Let’s go one by one:

| Number | Tens Digit | Round to Nearest 100 | Explanation |
|--------|------------|----------------------|-------------|
| 345 | 4 | 300 | 4 ≤ 4 → round down to 300 |
| 578 | 7 | 600 | 7 ≥ 5 → round up to 600 |
| 156 | 5 | 200 | 5 → round up to 200 |
| 420 | 2 | 400 | 2 ≤ 4 → round down to 400 |
| 650 | 5 | 700 | 5 → round up to 700 |
| 739 | 3 | 700 | 3 ≤ 4 → round down to 700 |
| 265 | 6 | 300 | 6 ≥ 5 → round up to 300 |
| 831 | 3 | 800 | 3 ≤ 4 → round down to 800 |

✔ Final Answers for Worksheet 2 (Rounding to Nearest 100):

```
345 → 300
578 → 600
156 → 200
420 → 400
650 → 700
739 → 700
265 → 300
831 → 800
```

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## 🧠 Summary of Rules:

➤ Rounding to Nearest 10:

- Look at the ones digit.
- 0–4 → round down.
- 5–9 → round up.

➤ Rounding to Nearest 100:

- Look at the tens digit.
- 0–4 → round down.
- 5–9 → round up.

> 💡 The phrase “if it’s right in the middle… round up” just reinforces that when the digit is exactly 5, you always round up — this avoids ambiguity.

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## ✍️ How to Fill in the Worksheets:

On both sheets, there are arrows next to each number. You can draw or write the rounded number at the end of the arrow.

For example:
- For 37 → draw/write 40 at the end of the arrow.
- For 345 → draw/write 300 at the end of the arrow.

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✔ You now have complete, correct answers for both worksheets with full explanations!

Let me know if you’d like a printable version or visual number line diagrams to help students understand better!