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Math worksheet for subtracting integers, featuring 30 problems to calculate differences between positive and negative numbers.

A worksheet titled "Subtracting Integers (A)" with 30 subtraction problems involving positive and negative integers, designed for math practice.

A worksheet titled "Subtracting Integers (A)" with 30 subtraction problems involving positive and negative integers, designed for math practice.

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Show Answer Key & Explanations Step-by-step solution for: Subtracting Mixed Integers from -15 to 15 (75 Questions) (A)
Let's solve the "Subtracting Integers (A)" worksheet step by step. The goal is to calculate each difference, remembering the rules for subtracting integers:

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🔷 Rules for Subtracting Integers:



1. Subtracting a positive number:
$ a - b = a + (-b) $

2. Subtracting a negative number:
$ a - (-b) = a + b $
*(Subtracting a negative is the same as adding a positive)*

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We'll go through each problem and solve it.

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Column 1:



1. $ 10 - (-14) = 10 + 14 = \boxed{24} $
2. $ -12 - 7 = -12 + (-7) = \boxed{-19} $
3. $ 3 - 10 = -7 = \boxed{-7} $
4. $ 1 - (-11) = 1 + 11 = \boxed{12} $
5. $ -9 - 2 = -9 + (-2) = \boxed{-11} $
6. $ -11 - 12 = -11 + (-12) = \boxed{-23} $
7. $ 12 - 14 = -2 = \boxed{-2} $
8. $ 8 - 15 = -7 = \boxed{-7} $
9. $ 3 - (-12) = 3 + 12 = \boxed{15} $
10. $ -8 - 12 = -8 + (-12) = \boxed{-20} $
11. $ -14 - (-1) = -14 + 1 = \boxed{-13} $
12. $ -9 - (-7) = -9 + 7 = \boxed{-2} $
13. $ 2 - (-11) = 2 + 11 = \boxed{13} $
14. $ -15 - 9 = -15 + (-9) = \boxed{-24} $
15. $ -15 - (-12) = -15 + 12 = \boxed{-3} $
16. $ 15 - 5 = \boxed{10} $
17. $ 3 - (-9) = 3 + 9 = \boxed{12} $
18. $ 4 - (-15) = 4 + 15 = \boxed{19} $
19. $ 13 - (-8) = 13 + 8 = \boxed{21} $
20. $ 11 - 11 = \boxed{0} $
21. $ -9 - (-1) = -9 + 1 = \boxed{-8} $
22. $ -7 - (-11) = -7 + 11 = \boxed{4} $
23. $ 5 - 9 = -4 = \boxed{-4} $
24. $ 1 - 14 = -13 = \boxed{-13} $
25. $ 1 - (-9) = 1 + 9 = \boxed{10} $

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Column 2:



1. $ -13 - 3 = -13 + (-3) = \boxed{-16} $
2. $ -9 - (-3) = -9 + 3 = \boxed{-6} $
3. $ 14 - 13 = \boxed{1} $
4. $ 14 - 15 = -1 = \boxed{-1} $
5. $ -12 - (-3) = -12 + 3 = \boxed{-9} $
6. $ -10 - 12 = -10 + (-12) = \boxed{-22} $
7. $ 15 - (-2) = 15 + 2 = \boxed{17} $
8. $ -5 - (-12) = -5 + 12 = \boxed{7} $
9. $ 10 - (-8) = 10 + 8 = \boxed{18} $
10. $ 12 - 1 = \boxed{11} $
11. $ -15 - 4 = -15 + (-4) = \boxed{-19} $
12. $ 9 - (-9) = 9 + 9 = \boxed{18} $
13. $ -10 - (-4) = -10 + 4 = \boxed{-6} $
14. $ 8 - (-11) = 8 + 11 = \boxed{19} $
15. $ 13 - (-2) = 13 + 2 = \boxed{15} $
16. $ 4 - 1 = \boxed{3} $
17. $ -1 - 10 = -1 + (-10) = \boxed{-11} $
18. $ -11 - (-8) = -11 + 8 = \boxed{-3} $
19. $ -15 - (-15) = -15 + 15 = \boxed{0} $
20. $ 8 - 9 = -1 = \boxed{-1} $
21. $ 15 - (-13) = 15 + 13 = \boxed{28} $
22. $ 4 - 11 = -7 = \boxed{-7} $
23. $ 5 - 8 = -3 = \boxed{-3} $
24. $ -10 - 10 = -10 + (-10) = \boxed{-20} $
25. $ -14 - 10 = -14 + (-10) = \boxed{-24} $

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Column 3:



1. $ 14 - 7 = \boxed{7} $
2. $ -9 - 11 = -9 + (-11) = \boxed{-20} $
3. $ 13 - 13 = \boxed{0} $
4. $ 1 - (-5) = 1 + 5 = \boxed{6} $
5. $ -11 - (-5) = -11 + 5 = \boxed{-6} $
6. $ -10 - 3 = -10 + (-3) = \boxed{-13} $
7. $ 6 - (-13) = 6 + 13 = \boxed{19} $
8. $ -11 - 14 = -11 + (-14) = \boxed{-25} $
9. $ -2 - 14 = -2 + (-14) = \boxed{-16} $
10. $ 12 - 13 = -1 = \boxed{-1} $
11. $ -10 - 7 = -10 + (-7) = \boxed{-17} $
12. $ -15 - (-3) = -15 + 3 = \boxed{-12} $
13. $ -14 - (-14) = -14 + 14 = \boxed{0} $
14. $ -7 - 7 = -7 + (-7) = \boxed{-14} $
15. $ -2 - 12 = -2 + (-12) = \boxed{-14} $
16. $ 7 - (-10) = 7 + 10 = \boxed{17} $
17. $ 3 - (-13) = 3 + 13 = \boxed{16} $
18. $ 8 - (-2) = 8 + 2 = \boxed{10} $
19. $ 10 - 1 = \boxed{9} $
20. $ 12 - 10 = \boxed{2} $
21. $ -3 - (-11) = -3 + 11 = \boxed{8} $
22. $ -2 - 9 = -2 + (-9) = \boxed{-11} $
23. $ 10 - (-2) = 10 + 2 = \boxed{12} $
24. $ -6 - (-5) = -6 + 5 = \boxed{-1} $
25. $ -11 - (-9) = -11 + 9 = \boxed{-2} $

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📌 Final Answer Summary:



Here are all the answers in order:

#### Column 1:
24, -19, -7, 12, -11, -23, -2, -7, 15, -20, -13, -2, 13, -24, -3, 10, 12, 19, 21, 0, -8, 4, -4, -13, 10

#### Column 2:
-16, -6, 1, -1, -9, -22, 17, 7, 18, 11, -19, 18, -6, 19, 15, 3, -11, -3, 0, -1, 28, -7, -3, -20, -24

#### Column 3:
7, -20, 0, 6, -6, -13, 19, -25, -16, -1, -17, -12, 0, -14, -14, 17, 16, 10, 9, 2, 8, -11, 12, -1, -2

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Tip for Students:
Always remember:
👉 "Keep, Change, Change"
To subtract integers:
1. Keep the first number
2. Change the subtraction sign to addition
3. Change the sign of the second number

Example:
$ 5 - (-3) $ → Keep 5, change to +, change -3 to +3 → $ 5 + 3 = 8 $

This method works every time!

Let me know if you'd like this formatted into a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of subtracting negative integers worksheet.
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