Estimating sums and differences worksheet with ten math problems for practice.

Problem Overview:

The task involves estimating the sum or difference for each problem and then calculating the actual sum or difference to compare how close the estimate is to the actual result. Let's solve each problem step by step.

---

Problem 1:

#### Estimate:
$$
45 \rightarrow 50 \\
+37 \rightarrow 40
$$
- Estimate: \( 50 + 40 = 90 \)

#### Actual Calculation:
$$
45 + 37 = 82
$$

#### Result:
- Estimate: 90
- Actual: 82

---

Problem 2:

#### Estimate:
$$
372 \rightarrow 370 \\
+439 \rightarrow 440
$$
- Estimate: \( 370 + 440 = 810 \)

#### Actual Calculation:
$$
372 + 439 = 811
$$

#### Result:
- Estimate: 810
- Actual: 811

---

Problem 3:

#### Estimate:
$$
409 \rightarrow 410 \\
+379 \rightarrow 380
$$
- Estimate: \( 410 + 380 = 790 \)

#### Actual Calculation:
$$
409 + 379 = 788
$$

#### Result:
- Estimate: 790
- Actual: 788

---

Problem 4:

#### Estimate:
$$
825 \rightarrow 830 \\
+199 \rightarrow 200
$$
- Estimate: \( 830 + 200 = 1030 \)

#### Actual Calculation:
$$
825 + 199 = 1024
$$

#### Result:
- Estimate: 1030
- Actual: 1024

---

Problem 5:

#### Estimate:
$$
941 \rightarrow 940 \\
+458 \rightarrow 460
$$
- Estimate: \( 940 + 460 = 1400 \)

#### Actual Calculation:
$$
941 + 458 = 1399
$$

#### Result:
- Estimate: 1400
- Actual: 1399

---

Problem 6:

#### Estimate:
$$
68 \rightarrow 70 \\
-24 \rightarrow 20
$$
- Estimate: \( 70 - 20 = 50 \)

#### Actual Calculation:
$$
68 - 24 = 44
$$

#### Result:
- Estimate: 50
- Actual: 44

---

Problem 7:

#### Estimate:
$$
296 \rightarrow 300 \\
-152 \rightarrow 150
$$
- Estimate: \( 300 - 150 = 150 \)

#### Actual Calculation:
$$
296 - 152 = 144
$$

#### Result:
- Estimate: 150
- Actual: 144

---

Problem 8:

#### Estimate:
$$
582 \rightarrow 580 \\
-326 \rightarrow 330
$$
- Estimate: \( 580 - 330 = 250 \)

#### Actual Calculation:
$$
582 - 326 = 256
$$

#### Result:
- Estimate: 250
- Actual: 256

---

Problem 9:

#### Estimate:
$$
819 \rightarrow 820 \\
-539 \rightarrow 540
$$
- Estimate: \( 820 - 540 = 280 \)

#### Actual Calculation:
$$
819 - 539 = 280
$$

#### Result:
- Estimate: 280
- Actual: 280

---

Problem 10:

#### Estimate:
$$
947 \rightarrow 950 \\
-533 \rightarrow 530
$$
- Estimate: \( 950 - 530 = 420 \)

#### Actual Calculation:
$$
947 - 533 = 414
$$

#### Result:
- Estimate: 420
- Actual: 414

---

Final Answers:

1. Estimate: 90, Actual: 82
2. Estimate: 810, Actual: 811
3. Estimate: 790, Actual: 788
4. Estimate: 1030, Actual: 1024
5. Estimate: 1400, Actual: 1399
6. Estimate: 50, Actual: 44
7. Estimate: 150, Actual: 144
8. Estimate: 250, Actual: 256
9. Estimate: 280, Actual: 280
10. Estimate: 420, Actual: 414

$$
\boxed{
\begin{array}{ll}
1. & \text{Estimate: 90, Actual: 82} \\
2. & \text{Estimate: 810, Actual: 811} \\
3. & \text{Estimate: 790, Actual: 788} \\
4. & \text{Estimate: 1030, Actual: 1024} \\
5. & \text{Estimate: 1400, Actual: 1399} \\
6. & \text{Estimate: 50, Actual: 44} \\
7. & \text{Estimate: 150, Actual: 144} \\
8. & \text{Estimate: 250, Actual: 256} \\
9. & \text{Estimate: 280, Actual: 280} \\
10. & \text{Estimate: 420, Actual: 414} \\
\end{array}
}
$$