Adding and Subtracting Integers practice worksheet with equations and geometric background.

Let's solve each of these integer addition and subtraction problems step by step, keeping in mind the rules for working with positive and negative numbers.

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Rules to Remember:

1. Adding a negative number is the same as subtracting a positive number.
- Example: $ a + (-b) = a - b $
2. Subtracting a negative number is the same as adding a positive number.
- Example: $ a - (-b) = a + b $
3. When adding or subtracting integers:
- Same signs: Add absolute values, keep the sign.
- Different signs: Subtract smaller absolute value from larger, use the sign of the larger.

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Now let’s go through each problem:

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#### Column 1

1. $ 3 + (-8) = 3 - 8 = -5 $
2. $ 6 - (-4) = 6 + 4 = 10 $
3. $ 6 - 5 = 1 $
4. $ (-8) + (-2) = -8 - 2 = -10 $
5. $ 8 + (-10) = 8 - 10 = -2 $
6. $ 8 - (-2) = 8 + 2 = 10 $
7. $ (-2) + 6 = 6 - 2 = 4 $
8. $ (-1) - 0 = -1 $
9. $ (-1) - (-2) = -1 + 2 = 1 $
10. $ 7 - 4 = 3 $

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#### Column 2

1. $ (-9) - (-4) = -9 + 4 = -5 $
2. $ (-4) - (-2) = -4 + 2 = -2 $
3. $ (-2) - 5 = -2 - 5 = -7 $
4. $ 8 + 6 = 14 $
5. $ 2 - (-10) = 2 + 10 = 12 $
6. $ 1 - (-7) = 1 + 7 = 8 $
7. $ (-4) - 4 = -8 $
8. $ 7 - 5 = 2 $
9. $ (-5) - (-6) = -5 + 6 = 1 $
10. $ (-2) + 5 = 3 $

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#### Column 3

1. $ 7 - 5 = 2 $
2. $ (-4) - 10 = -14 $
3. $ (-2) - 7 = -9 $
4. $ (-9) + 10 = 1 $
5. $ 8 - 5 = 3 $
6. $ 4 + 2 = 6 $
7. $ 9 - (-7) = 9 + 7 = 16 $
8. $ (-5) + (-10) = -15 $
9. $ 9 - (-9) = 9 + 9 = 18 $
10. $ (-4) - (-10) = -4 + 10 = 6 $

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✔ Final Answers (Organized):

#### Column 1:
1. $-5$
2. $10$
3. $1$
4. $-10$
5. $-2$
6. $10$
7. $4$
8. $-1$
9. $1$
10. $3$

#### Column 2:
1. $-5$
2. $-2$
3. $-7$
4. $14$
5. $12$
6. $8$
7. $-8$
8. $2$
9. $1$
10. $3$

#### Column 3:
1. $2$
2. $-14$
3. $-9$
4. $1$
5. $3$
6. $6$
7. $16$
8. $-15$
9. $18$
10. $6$

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Let me know if you'd like this formatted into a printable answer sheet!