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.
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Step-by-step solution for: Grade 9 Adding Integers Worksheets 2024
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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:
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#### 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.