Adding and Subtracting Integers worksheet for 3 - Free Printable

Problem: Adding and Subtracting Integers

The task is to solve a series of integer addition and subtraction problems. Here are the steps to solve each problem, along with the solutions.

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#### Row 1:
1. 3 + (-8) =
- Adding a negative number is the same as subtracting its positive counterpart.
- \( 3 + (-8) = 3 - 8 = -5 \)
- Answer: \(-5\)

2. (-9) - (-4) =
- Subtracting a negative number is the same as adding its positive counterpart.
- \( (-9) - (-4) = -9 + 4 = -5 \)
- Answer: \(-5\)

3. 7 - 5 =
- Subtracting a positive number is straightforward.
- \( 7 - 5 = 2 \)
- Answer: \(2\)

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#### Row 2:
4. 6 - (-4) =
- Subtracting a negative number is the same as adding its positive counterpart.
- \( 6 - (-4) = 6 + 4 = 10 \)
- Answer: \(10\)

5. (-4) - (-2) =
- Subtracting a negative number is the same as adding its positive counterpart.
- \( (-4) - (-2) = -4 + 2 = -2 \)
- Answer: \(-2\)

6. (-4) - 10 =
- Subtracting a positive number from a negative number makes the result more negative.
- \( (-4) - 10 = -4 - 10 = -14 \)
- Answer: \(-14\)

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#### Row 3:
7. 6 - 5 =
- Subtracting a positive number is straightforward.
- \( 6 - 5 = 1 \)
- Answer: \(1\)

8. (-2) - 5 =
- Subtracting a positive number from a negative number makes the result more negative.
- \( (-2) - 5 = -2 - 5 = -7 \)
- Answer: \(-7\)

9. (-2) - 7 =
- Subtracting a positive number from a negative number makes the result more negative.
- \( (-2) - 7 = -2 - 7 = -9 \)
- Answer: \(-9\)

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#### Row 4:
10. (-8) + (-2) =
- Adding two negative numbers results in a more negative number.
- \( (-8) + (-2) = -8 - 2 = -10 \)
- Answer: \(-10\)

11. 8 + 6 =
- Adding two positive numbers is straightforward.
- \( 8 + 6 = 14 \)
- Answer: \(14\)

12. (-9) + 10 =
- Adding a positive number to a negative number can be thought of as moving towards zero.
- \( (-9) + 10 = 1 \)
- Answer: \(1\)

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#### Row 5:
13. 8 + (-10) =
- Adding a negative number is the same as subtracting its positive counterpart.
- \( 8 + (-10) = 8 - 10 = -2 \)
- Answer: \(-2\)

14. 2 - (-10) =
- Subtracting a negative number is the same as adding its positive counterpart.
- \( 2 - (-10) = 2 + 10 = 12 \)
- Answer: \(12\)

15. 8 - 5 =
- Subtracting a positive number is straightforward.
- \( 8 - 5 = 3 \)
- Answer: \(3\)

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#### Row 6:
16. 8 - (-2) =
- Subtracting a negative number is the same as adding its positive counterpart.
- \( 8 - (-2) = 8 + 2 = 10 \)
- Answer: \(10\)

17. 1 - (-7) =
- Subtracting a negative number is the same as adding its positive counterpart.
- \( 1 - (-7) = 1 + 7 = 8 \)
- Answer: \(8\)

18. 4 + 2 =
- Adding two positive numbers is straightforward.
- \( 4 + 2 = 6 \)
- Answer: \(6\)

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#### Row 7:
19. (-2) + 6 =
- Adding a positive number to a negative number can be thought of as moving towards zero.
- \( (-2) + 6 = 4 \)
- Answer: \(4\)

20. (-4) - 4 =
- Subtracting a positive number from a negative number makes the result more negative.
- \( (-4) - 4 = -4 - 4 = -8 \)
- Answer: \(-8\)

21. 9 - (-7) =
- Subtracting a negative number is the same as adding its positive counterpart.
- \( 9 - (-7) = 9 + 7 = 16 \)
- Answer: \(16\)

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#### Row 8:
22. (-1) - 0 =
- Subtracting zero does not change the number.
- \( (-1) - 0 = -1 \)
- Answer: \(-1\)

23. 7 - 5 =
- Subtracting a positive number is straightforward.
- \( 7 - 5 = 2 \)
- Answer: \(2\)

24. (-5) + (-10) =
- Adding two negative numbers results in a more negative number.
- \( (-5) + (-10) = -5 - 10 = -15 \)
- Answer: \(-15\)

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#### Row 9:
25. (-1) - (-2) =
- Subtracting a negative number is the same as adding its positive counterpart.
- \( (-1) - (-2) = -1 + 2 = 1 \)
- Answer: \(1\)

26. (-5) - (-6) =
- Subtracting a negative number is the same as adding its positive counterpart.
- \( (-5) - (-6) = -5 + 6 = 1 \)
- Answer: \(1\)

27. 9 - (-9) =
- Subtracting a negative number is the same as adding its positive counterpart.
- \( 9 - (-9) = 9 + 9 = 18 \)
- Answer: \(18\)

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#### Row 10:
28. 7 - 4 =
- Subtracting a positive number is straightforward.
- \( 7 - 4 = 3 \)
- Answer: \(3\)

29. (-2) + 5 =
- Adding a positive number to a negative number can be thought of as moving towards zero.
- \( (-2) + 5 = 3 \)
- Answer: \(3\)

30. (-4) - (-10) =
- Subtracting a negative number is the same as adding its positive counterpart.
- \( (-4) - (-10) = -4 + 10 = 6 \)
- Answer: \(6\)

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Final Answers:

\[
\begin{array}{ccc}
-5 & -5 & 2 \\
10 & -2 & -14 \\
1 & -7 & -9 \\
-10 & 14 & 1 \\
-2 & 12 & 3 \\
10 & 8 & 6 \\
4 & -8 & 16 \\
-1 & 2 & -15 \\
1 & 1 & 18 \\
3 & 3 & 6 \\
\end{array}
\]

\boxed{
\begin{array}{ccc}
-5 & -5 & 2 \\
10 & -2 & -14 \\
1 & -7 & -9 \\
-10 & 14 & 1 \\
-2 & 12 & 3 \\
10 & 8 & 6 \\
4 & -8 & 16 \\
-1 & 2 & -15 \\
1 & 1 & 18 \\
3 & 3 & 6 \\
\end{array}
}