Let's solve each problem step by step. The key concept here is understanding how to
add and subtract integers, especially when dealing with negative numbers.
Rules to Remember:
1.
Subtracting a negative number is the same as
adding the positive version of that number:
- $ a - (-b) = a + b $
2.
Adding a negative number is the same as
subtracting the positive version:
- $ a + (-b) = a - b $
3. When adding or subtracting integers, pay attention to signs and use number line logic if needed.
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Now, let’s go through each problem:
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Left Column:
1. $ 8 - (-10) = 8 + 10 = \boxed{18} $
*(Subtracting a negative becomes addition)*
2. $ 7 - (-8) = 7 + 8 = \boxed{15} $
3. $ 2 - 8 = \boxed{-6} $
*(2 minus 8 goes below zero)*
4. $ -9 + 7 = \boxed{-2} $
*(Start at -9, move 7 right → -2)*
5. $ -10 - 12 = -22 $
*(Negative minus positive → more negative)*
$ \boxed{-22} $
6. $ 11 - 10 = \boxed{1} $
7. $ -11 + 2 = \boxed{-9} $
*(Start at -11, add 2 → -9)*
8. $ 2 - 9 = \boxed{-7} $
9. $ 3 + 9 = \boxed{12} $
10. $ -5 - 11 = -16 $
*(Negative minus positive → more negative)*
$ \boxed{-16} $
11. $ 10 - 11 = \boxed{-1} $
12. $ 8 - 7 = \boxed{1} $
13. $ 12 + (-2) = 12 - 2 = \boxed{10} $
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Right Column:
1. $ 12 - 6 = \boxed{6} $
2. $ -7 - (-12) = -7 + 12 = \boxed{5} $
3. $ 9 - (-4) = 9 + 4 = \boxed{13} $
4. $ -3 + (-12) = -3 - 12 = \boxed{-15} $
5. $ -8 + (-11) = -8 - 11 = \boxed{-19} $
6. $ 11 - (-5) = 11 + 5 = \boxed{16} $
7. $ 9 - (-1) = 9 + 1 = \boxed{10} $
8. $ -1 - 11 = \boxed{-12} $
9. $ 3 - (-11) = 3 + 11 = \boxed{14} $
10. $ -2 - 7 = \boxed{-9} $
11. $ 6 - (-4) = 6 + 4 = \boxed{10} $
12. $ -2 - (-11) = -2 + 11 = \boxed{9} $
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Final Answers (in order):
Left Column:
1. 18
2. 15
3. -6
4. -2
5. -22
6. 1
7. -9
8. -7
9. 12
10. -16
11. -1
12. 1
13. 10
Right Column:
1. 6
2. 5
3. 13
4. -15
5. -19
6. 16
7. 10
8. -12
9. 14
10. -9
11. 10
12. 9
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✔ All problems solved! Let me know if you'd like this formatted for printing or need explanations for any specific problem.
Parent Tip: Review the logic above to help your child master the concept of adding and subtracting negative integers worksheet.