Round Decimals to the Nearest Hundredth - Math Worksheets ... - Free Printable

Let's solve each part of this rounding problem step by step.

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🔷 Objective:

Round each number to the nearest hundredth (i.e., two decimal places).
To do this:
- Look at the thousandths place (the third digit after the decimal).
- If it is 5 or greater, round up the hundredths place.
- If it is less than 5, keep the hundredths place as is.

Also, we need to fill in the previous and next hundredths on the number line.

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✔ Problem 1: 8.272

- Number: 8.272
- Hundredths place: 7 (in 8.27)
- Thousandths place: 2 → less than 5 → do not round up
- So, 8.272 ≈ 8.27

Now, find the previous and next hundredths:
- Previous hundredth: 8.26
- Next hundredth: 8.28

✔ Answer:
- Number line: 8.26 ←→ 8.272 ←→ 8.28
- Rounded: 8.27

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✔ Problem 2: 5.988

- Number: 5.988
- Hundredths place: 8 (in 5.98)
- Thousandths place: 8 → ≥ 5 → round up
- 5.98 + 0.01 = 5.99

Previous and next hundredths:
- Previous: 5.97
- Next: 5.99

Wait — actually, since we're rounding to the nearest hundredth, the hundredths around 5.988 are:
- Previous: 5.98
- Next: 5.99

So the number line should show:
- 5.98 ←→ 5.988 ←→ 5.99

✔ Answer:
- Number line: 5.98 ←→ 5.988 ←→ 5.99
- Rounded: 5.99

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✔ Problem 3: 12.645

- Number: 12.645
- Hundredths place: 4 (in 12.64)
- Thousandths place: 5 → ≥ 5 → round up
- 12.64 + 0.01 = 12.65

Hundredths around:
- Previous: 12.64
- Next: 12.65

✔ Answer:
- Number line: 12.64 ←→ 12.645 ←→ 12.65
- Rounded: 12.65

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✔ Problem 4: 9.006

- Number: 9.006
- Hundredths place: 0 (in 9.00)
- Thousandths place: 6 → ≥ 5 → round up
- 9.00 + 0.01 = 9.01

Hundredths around:
- Previous: 8.99
- Next: 9.01

But wait — let's be precise:

The number is 9.006, which lies between 9.00 and 9.01.

So:
- Previous hundredth: 9.00
- Next hundredth: 9.01

✔ Answer:
- Number line: 9.00 ←→ 9.006 ←→ 9.01
- Rounded: 9.01

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✔ Problem 5: 0.714

- Number: 0.714
- Hundredths place: 1 (in 0.71)
- Thousandths place: 4 → < 5 → do not round up
- So, 0.714 ≈ 0.71

Hundredths around:
- Previous: 0.70
- Next: 0.72

But note: The number line shows 0.714 between two hundredths. So:
- Previous: 0.71
- Next: 0.72

Wait — let's clarify:

- The hundredths are numbers like 0.70, 0.71, 0.72, etc.
- 0.714 is between 0.71 and 0.72

So:
- Previous hundredth: 0.71
- Next hundredth: 0.72

✔ Answer:
- Number line: 0.71 ←→ 0.714 ←→ 0.72
- Rounded: 0.71

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✔ Final Answers:

| Number | Rounded to Nearest Hundredth | Previous Hundredth | Next Hundredth |
|--------|-------------------------------|--------------------|----------------|
| 8.272 | 8.27 | 8.26 | 8.28 |
| 5.988 | 5.99 | 5.98 | 5.99 |
| 12.645 | 12.65 | 12.64 | 12.65 |
| 9.006 | 9.01 | 9.00 | 9.01 |
| 0.714 | 0.71 | 0.71 | 0.72 |

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📌 Summary of Fill-ins:

1. 8.272
- Number line: `8.26` → `8.272` → `8.28`
- Rounded: 8.27

2. 5.988
- Number line: `5.98` → `5.988` → `5.99`
- Rounded: 5.99

3. 12.645
- Number line: `12.64` → `12.645` → `12.65`
- Rounded: 12.65

4. 9.006
- Number line: `9.00` → `9.006` → `9.01`
- Rounded: 9.01

5. 0.714
- Number line: `0.71` → `0.714` → `0.72`
- Rounded: 0.71

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✔ Final Answer Boxes:

1. 8.272 → 8.27
2. 5.988 → 5.99
3. 12.645 → 12.65
4. 9.006 → 9.01
5. 0.714 → 0.71

And the number lines are filled accordingly with the nearest hundredths before and after each number.

Let me know if you'd like a visual representation!