Printable math worksheet designed to help students practice rounding 4-digit numbers to the nearest hundred before solving addition and subtraction problems.

Problem Overview:

The task involves estimating sums and differences by rounding each number to the nearest hundred. After estimating, you must also solve the actual problems without rounding.

Steps to Solve:

1. Rounding to the Nearest Hundred:
- If the tens digit is 5 or greater, round up.
- If the tens digit is less than 5, round down.

2. Estimate the Sum or Difference:
- Use the rounded numbers to calculate the estimated sum or difference.

3. Solve the Actual Problem:
- Perform the exact addition or subtraction using the original numbers.

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Solution:

#### Problem 1:
- Original: \( 8281 - 3476 \)
- Rounding:
- \( 8281 \rightarrow 8300 \)
- \( 3476 \rightarrow 3500 \)
- Estimated Difference: \( 8300 - 3500 = 4800 \)
- Actual Difference: \( 8281 - 3476 = 4805 \)

#### Problem 2:
- Original: \( 4757 + 1818 \)
- Rounding:
- \( 4757 \rightarrow 4800 \)
- \( 1818 \rightarrow 1800 \)
- Estimated Sum: \( 4800 + 1800 = 6600 \)
- Actual Sum: \( 4757 + 1818 = 6575 \)

#### Problem 3:
- Original: \( 1586 + 8284 \)
- Rounding:
- \( 1586 \rightarrow 1600 \)
- \( 8284 \rightarrow 8300 \)
- Estimated Sum: \( 1600 + 8300 = 9900 \)
- Actual Sum: \( 1586 + 8284 = 9870 \)

#### Problem 4:
- Original: \( 9581 - 3664 \)
- Rounding:
- \( 9581 \rightarrow 9600 \)
- \( 3664 \rightarrow 3700 \)
- Estimated Difference: \( 9600 - 3700 = 5900 \)
- Actual Difference: \( 9581 - 3664 = 5917 \)

#### Problem 5:
- Original: \( 5473 - 2351 \)
- Rounding:
- \( 5473 \rightarrow 5500 \)
- \( 2351 \rightarrow 2400 \)
- Estimated Difference: \( 5500 - 2400 = 3100 \)
- Actual Difference: \( 5473 - 2351 = 3122 \)

#### Problem 6:
- Original: \( 5243 + 8775 \)
- Rounding:
- \( 5243 \rightarrow 5200 \)
- \( 8775 \rightarrow 8800 \)
- Estimated Sum: \( 5200 + 8800 = 14000 \)
- Actual Sum: \( 5243 + 8775 = 14018 \)

#### Problem 7:
- Original: \( 7467 + 9269 \)
- Rounding:
- \( 7467 \rightarrow 7500 \)
- \( 9269 \rightarrow 9300 \)
- Estimated Sum: \( 7500 + 9300 = 16800 \)
- Actual Sum: \( 7467 + 9269 = 16736 \)

#### Problem 8:
- Original: \( 6834 - 1457 \)
- Rounding:
- \( 6834 \rightarrow 6800 \)
- \( 1457 \rightarrow 1500 \)
- Estimated Difference: \( 6800 - 1500 = 5300 \)
- Actual Difference: \( 6834 - 1457 = 5377 \)

#### Problem 9:
- Original: \( 7845 - 2669 \)
- Rounding:
- \( 7845 \rightarrow 7800 \)
- \( 2669 \rightarrow 2700 \)
- Estimated Difference: \( 7800 - 2700 = 5100 \)
- Actual Difference: \( 7845 - 2669 = 5176 \)

#### Problem 10:
- Original: \( 6494 + 6556 \)
- Rounding:
- \( 6494 \rightarrow 6500 \)
- \( 6556 \rightarrow 6600 \)
- Estimated Sum: \( 6500 + 6600 = 13100 \)
- Actual Sum: \( 6494 + 6556 = 13050 \)

#### Problem 11:
- Original: \( 4234 - 3468 \)
- Rounding:
- \( 4234 \rightarrow 4200 \)
- \( 3468 \rightarrow 3500 \)
- Estimated Difference: \( 4200 - 3500 = 700 \)
- Actual Difference: \( 4234 - 3468 = 766 \)

#### Problem 12:
- Original: \( 7117 + 5394 \)
- Rounding:
- \( 7117 \rightarrow 7100 \)
- \( 5394 \rightarrow 5400 \)
- Estimated Sum: \( 7100 + 5400 = 12500 \)
- Actual Sum: \( 7117 + 5394 = 12511 \)

#### Problem 13:
- Original: \( 4824 - 3873 \)
- Rounding:
- \( 4824 \rightarrow 4800 \)
- \( 3873 \rightarrow 3900 \)
- Estimated Difference: \( 4800 - 3900 = 900 \)
- Actual Difference: \( 4824 - 3873 = 951 \)

#### Problem 14:
- Original: \( 2328 + 9627 \)
- Rounding:
- \( 2328 \rightarrow 2300 \)
- \( 9627 \rightarrow 9600 \)
- Estimated Sum: \( 2300 + 9600 = 11900 \)
- Actual Sum: \( 2328 + 9627 = 11955 \)

---

Final Answer:

\[
\boxed{
\begin{array}{ll}
\text{1) Estimated: } 4800, \text{ Actual: } 4805 \\
\text{2) Estimated: } 6600, \text{ Actual: } 6575 \\
\text{3) Estimated: } 9900, \text{ Actual: } 9870 \\
\text{4) Estimated: } 5900, \text{ Actual: } 5917 \\
\text{5) Estimated: } 3100, \text{ Actual: } 3122 \\
\text{6) Estimated: } 14000, \text{ Actual: } 14018 \\
\text{7) Estimated: } 16800, \text{ Actual: } 16736 \\
\text{8) Estimated: } 5300, \text{ Actual: } 5377 \\
\text{9) Estimated: } 5100, \text{ Actual: } 5176 \\
\text{10) Estimated: } 13100, \text{ Actual: } 13050 \\
\text{11) Estimated: } 700, \text{ Actual: } 766 \\
\text{12) Estimated: } 12500, \text{ Actual: } 12511 \\
\text{13) Estimated: } 900, \text{ Actual: } 951 \\
\text{14) Estimated: } 11900, \text{ Actual: } 11955 \\
\end{array}
}
\]