Rounding Integer Numbers worksheet with exercises to round numbers to the nearest hundred.

Problem: Rounding Integer Numbers to the Nearest Hundred

The task involves rounding each number to the nearest hundred. Let's solve it step by step.

#### Part 1: Round each number to the nearest hundred (Whole Numbers)

To round a number to the nearest hundred:
1. Look at the tens digit.
2. If the tens digit is 5 or greater, round up.
3. If the tens digit is less than 5, round down.

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Numbers to round:
1) 861
2) 426
3) 415
4) 981
5) 436
6) 621
7) 699
8) 313
9) 371
10) 549

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Solutions:

1. 861: The tens digit is 6. Since 6 ≥ 5, round up.
- Rounded to the nearest hundred: 900

2. 426: The tens digit is 2. Since 2 < 5, round down.
- Rounded to the nearest hundred: 400

3. 415: The tens digit is 1. Since 1 < 5, round down.
- Rounded to the nearest hundred: 400

4. 981: The tens digit is 8. Since 8 ≥ 5, round up.
- Rounded to the nearest hundred: 1000

5. 436: The tens digit is 3. Since 3 < 5, round down.
- Rounded to the nearest hundred: 400

6. 621: The tens digit is 2. Since 2 < 5, round down.
- Rounded to the nearest hundred: 600

7. 699: The tens digit is 9. Since 9 ≥ 5, round up.
- Rounded to the nearest hundred: 700

8. 313: The tens digit is 1. Since 1 < 5, round down.
- Rounded to the nearest hundred: 300

9. 371: The tens digit is 7. Since 7 ≥ 5, round up.
- Rounded to the nearest hundred: 400

10. 549: The tens digit is 4. Since 4 < 5, round down.
- Rounded to the nearest hundred: 500

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Final Answers for Part 1:
1) 900
2) 400
3) 400
4) 1000
5) 400
6) 600
7) 700
8) 300
9) 400
10) 500

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#### Part 2: Round each number to the nearest hundred (Decimal Numbers)

For decimal numbers, we still focus on the tens digit (the second digit from the right). Ignore the digits after the decimal point when determining the rounding.

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Numbers to round:
1) 3.979
2) 3.285
3) 8.258
4) 4.715
5) 1.873
6) 8.298
7) 6.776
8) 9.492
9) 1.555
10) 6.758

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Solutions:

1. 3.979: Treat as 397.9. The tens digit is 9. Since 9 ≥ 5, round up.
- Rounded to the nearest hundred: 400

2. 3.285: Treat as 328.5. The tens digit is 2. Since 2 < 5, round down.
- Rounded to the nearest hundred: 300

3. 8.258: Treat as 825.8. The tens digit is 2. Since 2 < 5, round down.
- Rounded to the nearest hundred: 800

4. 4.715: Treat as 471.5. The tens digit is 7. Since 7 ≥ 5, round up.
- Rounded to the nearest hundred: 500

5. 1.873: Treat as 187.3. The tens digit is 8. Since 8 ≥ 5, round up.
- Rounded to the nearest hundred: 200

6. 8.298: Treat as 829.8. The tens digit is 2. Since 2 < 5, round down.
- Rounded to the nearest hundred: 800

7. 6.776: Treat as 677.6. The tens digit is 7. Since 7 ≥ 5, round up.
- Rounded to the nearest hundred: 700

8. 9.492: Treat as 949.2. The tens digit is 4. Since 4 < 5, round down.
- Rounded to the nearest hundred: 900

9. 1.555: Treat as 155.5. The tens digit is 5. Since 5 ≥ 5, round up.
- Rounded to the nearest hundred: 200

10. 6.758: Treat as 675.8. The tens digit is 7. Since 7 ≥ 5, round up.
- Rounded to the nearest hundred: 700

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Final Answers for Part 2:
1) 400
2) 300
3) 800
4) 500
5) 200
6) 800
7) 700
8) 900
9) 200
10) 700

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Final Answer:

\[
\boxed{
\begin{array}{ll}
\text{Part 1:} & 900, 400, 400, 1000, 400, 600, 700, 300, 400, 500 \\
\text{Part 2:} & 400, 300, 800, 500, 200, 800, 700, 900, 200, 700
\end{array}
}
\]