Round off Numbers Using Number Line - Math Worksheets - SplashLearn - Free Printable

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: Result
- 8,628 → 8,630

#### Number Line Interpretation:
On a number line from 8,620 to 8,630:
- 8,628 is closer to 8,630 than to 8,620.
- So, we move up to 8,630.

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

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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: Result
- 11,246 → 11,200

#### Number Line Interpretation:
On a number line from 11,200 to 11,300:
- 11,246 is closer to 11,200 than to 11,300.
- So, we stay at 11,200.

✔ Answer:
11,246 rounded to the nearest 100 is 11,200.
✘ Round Up
✔️ 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: Result
- 7,109 → 7,000

#### Number Line Interpretation:
On a number line from 7,000 to 8,000:
- 7,109 is much closer to 7,000 than to 8,000.
- So, we stay at 7,000.

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

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✔ Final Answers:

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

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

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

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📌 Summary Rule:

- To round to a place value (10, 100, 1,000), look at the digit to the right of that place.
- If it’s 5 or more, round up.
- If it’s less than 5, round down.

Let me know if you'd like a visual number line drawn for any of these!