Adding and Subtracting Integers Math Worksheets | Positive and ... - Free Printable

The image you uploaded contains two math worksheets for Grade 6 students, focusing on positive and negative sums and differences. Below is a detailed explanation of how to solve the problems presented in both sections.

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Worksheet 1: Positive and Negative Sums and Differences

#### Instructions:
- Solve the equations below.
- Color the drawing according to the result.
- You may have to color more than one space per equation.

#### Equations:
1. \( 45 + 23 = \)
2. \( 80 - 35 = \)
3. \( 75 - 25 = \)
4. \( 60 + 15 = \)
5. \( 90 - 45 = \)
6. \( 50 + 20 = \)
7. \( 85 - 35 = \)
8. \( 70 - 25 = \)
9. \( 65 + 15 = \)
10. \( 95 - 45 = \)

#### Solutions:
1. \( 45 + 23 = 68 \)
2. \( 80 - 35 = 45 \)
3. \( 75 - 25 = 50 \)
4. \( 60 + 15 = 75 \)
5. \( 90 - 45 = 45 \)
6. \( 50 + 20 = 70 \)
7. \( 85 - 35 = 50 \)
8. \( 70 - 25 = 45 \)
9. \( 65 + 15 = 80 \)
10. \( 95 - 45 = 50 \)

#### Explanation:
- Each equation involves either addition or subtraction of positive numbers.
- Perform the operations step-by-step:
- For addition, simply add the numbers.
- For subtraction, subtract the second number from the first.
- Use the results to color the corresponding spaces in the drawing as instructed.

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Worksheet 2: Find the Mistakes

#### Instructions:
- Circle the sums that are incorrect.
- Write the correct answer next to each incorrect sum.

#### Equations:
1. \( 40 - 20 = 20 \)
2. \( 45 + 25 = 65 \)
3. \( 50 + 10 = 60 \)
4. \( -48 - 30 = -18 \)
5. \( 42 + 25 = 67 \)
6. \( -30 - 25 = -55 \)
7. \( 36 + 12 = 48 \)
8. \( -50 + 30 = -20 \)
9. \( 50 - 45 = 5 \)
10. \( -25 - 15 = -40 \)
11. \( 50 + 20 = 70 \)
12. \( -35 + 20 = -15 \)
13. \( 44 - 30 = 14 \)
14. \( -40 + 10 = -30 \)
15. \( 48 - 40 = 8 \)
16. \( -25 - 10 = -35 \)

#### Solutions:
1. \( 40 - 20 = 20 \) (Correct)
2. \( 45 + 25 = 65 \) (Incorrect, Correct Answer: \( 70 \))
3. \( 50 + 10 = 60 \) (Correct)
4. \( -48 - 30 = -18 \) (Incorrect, Correct Answer: \( -78 \))
5. \( 42 + 25 = 67 \) (Correct)
6. \( -30 - 25 = -55 \) (Correct)
7. \( 36 + 12 = 48 \) (Correct)
8. \( -50 + 30 = -20 \) (Correct)
9. \( 50 - 45 = 5 \) (Correct)
10. \( -25 - 15 = -40 \) (Correct)
11. \( 50 + 20 = 70 \) (Correct)
12. \( -35 + 20 = -15 \) (Correct)
13. \( 44 - 30 = 14 \) (Correct)
14. \( -40 + 10 = -30 \) (Correct)
15. \( 48 - 40 = 8 \) (Correct)
16. \( -25 - 10 = -35 \) (Correct)

#### Explanation:
- Carefully evaluate each equation:
- For addition, combine the numbers.
- For subtraction, subtract the second number from the first.
- Pay special attention to negative numbers:
- Subtracting a negative is equivalent to adding a positive.
- Adding a negative is equivalent to subtracting a positive.
- Identify any mistakes and provide the correct answers.

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Final Answers:

1. Worksheet 1:
- Results: \( 68, 45, 50, 75, 45, 70, 50, 45, 80, 50 \)
- Use these results to color the corresponding spaces in the drawing.

2. Worksheet 2:
- Incorrect Equations:
- \( 45 + 25 = 65 \) (Correct Answer: \( 70 \))
- \( -48 - 30 = -18 \) (Correct Answer: \( -78 \))

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Boxed Final Answer:

\[
\boxed{
\text{Worksheet 1: } 68, 45, 50, 75, 45, 70, 50, 45, 80, 50 \\
\text{Worksheet 2: Incorrect Equations: } 45 + 25 = 65 \text{ (Correct: } 70\text{)}, -48 - 30 = -18 \text{ (Correct: } -78\text{)}
}
\]