Adding and Subtracting Mixed Integers from -99 to 99 (25 Questions ... - Free Printable

Problem: Solving the Addition and Subtraction of Integers

The task involves calculating each sum or difference for a series of integer operations. Below, I will solve each problem step by step.

---

#### 1. First Row:
- Problem 1: $ -37 - 91 $
- Subtracting a positive number is the same as adding its negative.
- $ -37 - 91 = -37 + (-91) = -128 $
- Answer: $ -128 $

- Problem 2: $ -84 + (-71) $
- Adding two negative numbers results in a larger negative number.
- $ -84 + (-71) = -155 $
- Answer: $ -155 $

---

#### 2. Second Row:
- Problem 3: $ -88 + 70 $
- Subtract the smaller absolute value from the larger one and keep the sign of the larger absolute value.
- $ -88 + 70 = -(88 - 70) = -18 $
- Answer: $ -18 $

- Problem 4: $ -84 - (-82) $
- Subtracting a negative is the same as adding its positive counterpart.
- $ -84 - (-82) = -84 + 82 = -(84 - 82) = -2 $
- Answer: $ -2 $

---

#### 3. Third Row:
- Problem 5: $ 88 + 87 $
- Adding two positive numbers results in a larger positive number.
- $ 88 + 87 = 175 $
- Answer: $ 175 $

- Problem 6: $ 9 - 92 $
- Subtract the smaller number from the larger one and keep the sign of the larger number.
- $ 9 - 92 = -(92 - 9) = -83 $
- Answer: $ -83 $

---

#### 4. Fourth Row:
- Problem 7: $ -53 + (-99) $
- Adding two negative numbers results in a larger negative number.
- $ -53 + (-99) = -152 $
- Answer: $ -152 $

- Problem 8: $ -92 - 77 $
- Subtracting a positive number is the same as adding its negative.
- $ -92 - 77 = -92 + (-77) = -169 $
- Answer: $ -169 $

---

#### 5. Fifth Row:
- Problem 9: $ 84 + 75 $
- Adding two positive numbers results in a larger positive number.
- $ 84 + 75 = 159 $
- Answer: $ 159 $

- Problem 10: $ 96 - 77 $
- Subtract the smaller number from the larger one.
- $ 96 - 77 = 19 $
- Answer: $ 19 $

---

#### 6. Sixth Row:
- Problem 11: $ 84 - 83 $
- Subtract the smaller number from the larger one.
- $ 84 - 83 = 1 $
- Answer: $ 1 $

- Problem 12: $ -77 + 85 $
- Add the two numbers, keeping the sign of the larger absolute value.
- $ -77 + 85 = 85 - 77 = 8 $
- Answer: $ 8 $

---

#### 7. Seventh Row:
- Problem 13: $ 91 - 92 $
- Subtract the smaller number from the larger one and keep the sign of the larger number.
- $ 91 - 92 = -(92 - 91) = -1 $
- Answer: $ -1 $

- Problem 14: $ -97 - (-89) $
- Subtracting a negative is the same as adding its positive counterpart.
- $ -97 - (-89) = -97 + 89 = -(97 - 89) = -8 $
- Answer: $ -8 $

---

#### 8. Eighth Row:
- Problem 15: $ 93 + 76 $
- Adding two positive numbers results in a larger positive number.
- $ 93 + 76 = 169 $
- Answer: $ 169 $

- Problem 16: $ -73 + 76 $
- Add the two numbers, keeping the sign of the larger absolute value.
- $ -73 + 76 = 76 - 73 = 3 $
- Answer: $ 3 $

---

#### 9. Ninth Row:
- Problem 17: $ -70 - 64 $
- Subtracting a positive number is the same as adding its negative.
- $ -70 - 64 = -70 + (-64) = -134 $
- Answer: $ -134 $

- Problem 18: $ -92 + (-80) $
- Adding two negative numbers results in a larger negative number.
- $ -92 + (-80) = -172 $
- Answer: $ -172 $

---

#### 10. Tenth Row:
- Problem 19: $ -81 - 84 $
- Subtracting a positive number is the same as adding its negative.
- $ -81 - 84 = -81 + (-84) = -165 $
- Answer: $ -165 $

- Problem 20: $ -75 - (-85) $
- Subtracting a negative is the same as adding its positive counterpart.
- $ -75 - (-85) = -75 + 85 = 85 - 75 = 10 $
- Answer: $ 10 $

---

#### 11. Eleventh Row:
- Problem 21: $ -85 + 91 $
- Add the two numbers, keeping the sign of the larger absolute value.
- $ -85 + 91 = 91 - 85 = 6 $
- Answer: $ 6 $

- Problem 22: $ 79 + (-83) $
- Adding a negative number is the same as subtracting its positive counterpart.
- $ 79 + (-83) = 79 - 83 = -(83 - 79) = -4 $
- Answer: $ -4 $

---

#### 12. Twelfth Row:
- Problem 23: $ -80 + 10 $
- Add the two numbers, keeping the sign of the larger absolute value.
- $ -80 + 10 = -(80 - 10) = -70 $
- Answer: $ -70 $

- Problem 24: $ -30 - (-81) $
- Subtracting a negative is the same as adding its positive counterpart.
- $ -30 - (-81) = -30 + 81 = 81 - 30 = 51 $
- Answer: $ 51 $

---

#### 13. Thirteenth Row:
- Problem 25: $ 92 - 45 $
- Subtract the smaller number from the larger one.
- $ 92 - 45 = 47 $
- Answer: $ 47 $

---

Final Answers:

\[
\boxed{
\begin{array}{ll}
-128 & -155 \\
-18 & -2 \\
175 & -83 \\
-152 & -169 \\
159 & 19 \\
1 & 8 \\
-1 & -8 \\
169 & 3 \\
-134 & -172 \\
-165 & 10 \\
6 & -4 \\
-70 & 51 \\
47 &
\end{array}
}
\]