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Worksheet for practicing adding integers, featuring 16 problems with positive and negative numbers.

Worksheet titled "Adding Integers" with 16 math problems involving addition of positive and negative numbers.

Worksheet titled "Adding Integers" with 16 math problems involving addition of positive and negative numbers.

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Show Answer Key & Explanations Step-by-step solution for: Grade 9 Adding Integers Worksheets 2024

Problem: Adding Integers


The task is to solve the addition of integers for each given pair. Here are the steps and solutions for each problem:

---

#### 1. $(-20) + (-2)$
- When adding two negative numbers, add their absolute values and keep the negative sign.
- Absolute values: $20 + 2 = 22$
- Result: $-22$

Answer: $-22$

---

#### 2. $(-29) + 15$
- When adding a negative number and a positive number, subtract the smaller absolute value from the larger one and keep the sign of the number with the larger absolute value.
- Absolute values: $29 - 15 = 14$
- Since $-29$ has the larger absolute value, the result is negative.
- Result: $-14$

Answer: $-14$

---

#### 3. $18 + 9$
- Add the two positive numbers directly.
- Result: $27$

Answer: $27$

---

#### 4. $12 + (-6)$
- Subtract the absolute value of the negative number from the positive number.
- Absolute values: $12 - 6 = 6$
- Since $12$ is positive and larger, the result is positive.
- Result: $6$

Answer: $6$

---

#### 5. $(-11) + 4$
- Subtract the absolute value of the positive number from the absolute value of the negative number.
- Absolute values: $11 - 4 = 7$
- Since $-11$ has the larger absolute value, the result is negative.
- Result: $-7$

Answer: $-7$

---

#### 6. $(-7) + (-10)$
- When adding two negative numbers, add their absolute values and keep the negative sign.
- Absolute values: $7 + 10 = 17$
- Result: $-17$

Answer: $-17$

---

#### 7. $8 + 16$
- Add the two positive numbers directly.
- Result: $24$

Answer: $24$

---

#### 8. $24 + (-1)$
- Subtract the absolute value of the negative number from the positive number.
- Absolute values: $24 - 1 = 23$
- Since $24$ is positive and larger, the result is positive.
- Result: $23$

Answer: $23$

---

#### 9. $(-15) + (-1)$
- When adding two negative numbers, add their absolute values and keep the negative sign.
- Absolute values: $15 + 1 = 16$
- Result: $-16$

Answer: $-16$

---

#### 10. $(-2) + 2$
- When adding a negative number and its positive counterpart (opposite), the result is zero.
- Result: $0$

Answer: $0$

---

#### 11. $(-14) + 6$
- Subtract the absolute value of the positive number from the absolute value of the negative number.
- Absolute values: $14 - 6 = 8$
- Since $-14$ has the larger absolute value, the result is negative.
- Result: $-8$

Answer: $-8$

---

#### 12. $19 + (-9)$
- Subtract the absolute value of the negative number from the positive number.
- Absolute values: $19 - 9 = 10$
- Since $19$ is positive and larger, the result is positive.
- Result: $10$

Answer: $10$

---

#### 13. $28 + 0$
- Adding zero to any number does not change the number.
- Result: $28$

Answer: $28$

---

#### 14. $(-1) + (-13)$
- When adding two negative numbers, add their absolute values and keep the negative sign.
- Absolute values: $1 + 13 = 14$
- Result: $-14$

Answer: $-14$

---

#### 15. $(-23) + 7$
- Subtract the absolute value of the positive number from the absolute value of the negative number.
- Absolute values: $23 - 7 = 16$
- Since $-23$ has the larger absolute value, the result is negative.
- Result: $-16$

Answer: $-16$

---

#### 16. $25 + (-5)$
- Subtract the absolute value of the negative number from the positive number.
- Absolute values: $25 - 5 = 20$
- Since $25$ is positive and larger, the result is positive.
- Result: $20$

Answer: $20$

---

Final Answers:


\[
\boxed{
\begin{array}{ll}
1. & -22 \\
2. & -14 \\
3. & 27 \\
4. & 6 \\
5. & -7 \\
6. & -17 \\
7. & 24 \\
8. & 23 \\
9. & -16 \\
10. & 0 \\
11. & -8 \\
12. & 10 \\
13. & 28 \\
14. & -14 \\
15. & -16 \\
16. & 20 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of 6th grade integers worksheet.
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