Rounding numbers using number lines worksheet with three practice problems.

Let's solve each rounding problem step by step using the number line concept and determine whether we round up or round down.

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🔹 Problem 1: Round 8,628 to the nearest 10

#### Step 1: Identify the two nearest tens
- The tens around 8,628 are:
- 8,620 (lower ten)
- 8,630 (higher ten)

#### Step 2: Look at the ones digit
- The ones digit in 8,628 is 8.
- Since 8 ≥ 5, we round up.

#### Step 3: Round up
- 8,628 → 8,630

✔ So, 8,628 rounded to the nearest 10 is 8,630
✔ Round Up ✔
✘ Round Down

> ✔️ Answer: 8,630; Round Up

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🔹 Problem 2: Round 11,246 to the nearest 100

#### Step 1: Identify the two nearest hundreds
- Hundreds around 11,246:
- 11,200 (lower hundred)
- 11,300 (higher hundred)

#### Step 2: Look at the tens digit
- The tens digit in 11,246 is 4.
- Since 4 < 5, we round down.

#### Step 3: Round down
- 11,246 → 11,200

✔ So, 11,246 rounded to the nearest 100 is 11,200
✘ Round Up
✔ Round Down ✔

> ✔️ Answer: 11,200; Round Down

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🔹 Problem 3: Round 7,109 to the nearest 1,000

#### Step 1: Identify the two nearest thousands
- Thousands around 7,109:
- 7,000 (lower thousand)
- 8,000 (higher thousand)

#### Step 2: Look at the hundreds digit
- The hundreds digit in 7,109 is 1.
- Since 1 < 5, we round down.

#### Step 3: Round down
- 7,109 → 7,000

✔ So, 7,109 rounded to the nearest 1,000 is 7,000
✘ Round Up
✔ Round Down ✔

> ✔️ Answer: 7,000; Round Down

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✔ Final Answers:

1. 8,628 rounded to the nearest 10 is → 8,630
- Round Up: ✔
- Round Down: ✘

2. 11,246 rounded to the nearest 100 is → 11,200
- Round Up: ✘
- Round Down: ✔

3. 7,109 rounded to the nearest 1,000 is → 7,000
- Round Up: ✘
- Round Down: ✔

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📝 Summary Rule:

- To round a number:
- Find the two closest multiples of the rounding value (10, 100, 1000).
- Look at the digit to the right of the rounding place.
- If it’s 5 or more, round up.
- If it’s less than 5, round down.

Let me know if you'd like me to draw the number lines visually!