Let's solve each problem step by step. The goal is to
add and subtract integers, including positive and negative numbers.
We’ll go through each expression one at a time, applying the rules:
Rules for Adding and Subtracting Integers:
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Adding two positive numbers: Add normally.
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Adding two negative numbers: Add their absolute values and keep the negative sign.
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Adding a positive and a negative number: Subtract the smaller absolute value from the larger and use the sign of the larger.
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Subtracting a negative number: Turn it into addition (e.g., $ a - (-b) = a + b $).
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Let's solve each problem:
#### Left Column:
1. $ 15 - 7 = 8 $
2. $ 14 - 3 = 11 $
3. $ -15 - (-15) = -15 + 15 = 0 $
4. $ 15 - (-8) = 15 + 8 = 23 $
5. $ 10 - 9 = 1 $
6. $ 10 - (-5) = 10 + 5 = 15 $
7. $ 15 + (-12) = 15 - 12 = 3 $
8. $ 9 - (-5) = 9 + 5 = 14 $
9. $ -6 - (-15) = -6 + 15 = 9 $
10. $ -15 - 9 = -24 $
11. $ -15 - (-2) = -15 + 2 = -13 $
12. $ -14 + (-1) = -14 - 1 = -15 $
13. $ -14 + (-12) = -14 - 12 = -26 $
#### Right Column:
14. $ 10 - (-2) = 10 + 2 = 12 $
15. $ -2 + 14 = 12 $
16. $ 7 - 10 = -3 $
17. $ -12 - 15 = -27 $
18. $ -4 - (-10) = -4 + 10 = 6 $
19. $ 1 + 14 = 15 $
20. $ 5 - (-15) = 5 + 15 = 20 $
21. $ -12 + (-2) = -14 $
22. $ -8 + 13 = 5 $
23. $ 11 - (-3) = 11 + 3 = 14 $
24. $ -4 - 12 = -16 $
25. $ -14 + 5 = -9 $
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Final Answers:
Left Column:
1. 8
2. 11
3. 0
4. 23
5. 1
6. 15
7. 3
8. 14
9. 9
10. -24
11. -13
12. -15
13. -26
Right Column:
14. 12
15. 12
16. -3
17. -27
18. 6
19. 15
20. 20
21. -14
22. 5
23. 14
24. -16
25. -9
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✔ All answers are calculated correctly using integer rules.
Let me know if you'd like this formatted as a printable answer key!
Parent Tip: Review the logic above to help your child master the concept of subtracting integers worksheet with answer key.