Grade 5 integers worksheet focusing on subtracting positive and negative numbers, designed for online reading and math practice.

Problem: Solving the Subtracting Integers Worksheet

The worksheet provided is a Grade 5 integers worksheet focusing on subtracting integers. Below, I will solve each problem step by step and explain the process.

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General Rules for Subtracting Integers:

1. Subtracting a positive integer is straightforward: just subtract as usual.
2. Subtracting a negative integer is equivalent to adding the positive counterpart of that integer.
- For example, \( a - (-b) = a + b \).
3. When dealing with negative numbers:
- Subtracting a smaller negative number from a larger negative number results in an even more negative number.
- Subtracting a larger negative number from a smaller negative number results in a less negative (or positive) number.

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Solutions:

#### Column 1:
1. 1) \(-19 - (-2)\)
- Subtracting a negative is the same as adding the positive counterpart.
- \(-19 - (-2) = -19 + 2 = -17\)
- Answer: \(-17\)

2. 2) \(-2 - 4\)
- Subtracting a positive integer from a negative integer makes the result more negative.
- \(-2 - 4 = -6\)
- Answer: \(-6\)

3. 3) \(-3 - 13\)
- Subtracting a positive integer from a negative integer makes the result more negative.
- \(-3 - 13 = -16\)
- Answer: \(-16\)

4. 4) \(14 - (-20)\)
- Subtracting a negative is the same as adding the positive counterpart.
- \(14 - (-20) = 14 + 20 = 34\)
- Answer: \(34\)

5. 5) \(7 - 8\)
- Subtracting a larger positive integer from a smaller positive integer results in a negative number.
- \(7 - 8 = -1\)
- Answer: \(-1\)

6. 6) \(-8 - (-13)\)
- Subtracting a negative is the same as adding the positive counterpart.
- \(-8 - (-13) = -8 + 13 = 5\)
- Answer: \(5\)

7. 7) \(15 - 13\)
- Subtracting a smaller positive integer from a larger positive integer.
- \(15 - 13 = 2\)
- Answer: \(2\)

8. 8) \(5 - 13\)
- Subtracting a larger positive integer from a smaller positive integer results in a negative number.
- \(5 - 13 = -8\)
- Answer: \(-8\)

9. 9) \(-3 - 16\)
- Subtracting a positive integer from a negative integer makes the result more negative.
- \(-3 - 16 = -19\)
- Answer: \(-19\)

10. 10) \(-7 - 15\)
- Subtracting a positive integer from a negative integer makes the result more negative.
- \(-7 - 15 = -22\)
- Answer: \(-22\)

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#### Column 2:
11. 11) \(3 - 18\)
- Subtracting a larger positive integer from a smaller positive integer results in a negative number.
- \(3 - 18 = -15\)
- Answer: \(-15\)

12. 12) \(-4 - 16\)
- Subtracting a positive integer from a negative integer makes the result more negative.
- \(-4 - 16 = -20\)
- Answer: \(-20\)

13. 13) \(8 - 7\)
- Subtracting a smaller positive integer from a larger positive integer.
- \(8 - 7 = 1\)
- Answer: \(1\)

14. 14) \(0 - 7\)
- Subtracting a positive integer from zero results in a negative number.
- \(0 - 7 = -7\)
- Answer: \(-7\)

15. 15) \(3 - 5\)
- Subtracting a larger positive integer from a smaller positive integer results in a negative number.
- \(3 - 5 = -2\)
- Answer: \(-2\)

16. 16) \(7 - 4\)
- Subtracting a smaller positive integer from a larger positive integer.
- \(7 - 4 = 3\)
- Answer: \(3\)

17. 17) \(-11 - 2\)
- Subtracting a positive integer from a negative integer makes the result more negative.
- \(-11 - 2 = -13\)
- Answer: \(-13\)

18. 18) \(-1 - (-17)\)
- Subtracting a negative is the same as adding the positive counterpart.
- \(-1 - (-17) = -1 + 17 = 16\)
- Answer: \(16\)

19. 19) \(19 - 19\)
- Subtracting a number from itself results in zero.
- \(19 - 19 = 0\)
- Answer: \(0\)

20. 20) \(8 - (-18)\)
- Subtracting a negative is the same as adding the positive counterpart.
- \(8 - (-18) = 8 + 18 = 26\)
- Answer: \(26\)

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Final Answers:

1. \(-17\)
2. \(-6\)
3. \(-16\)
4. \(34\)
5. \(-1\)
6. \(5\)
7. \(2\)
8. \(-8\)
9. \(-19\)
10. \(-22\)
11. \(-15\)
12. \(-20\)
13. \(1\)
14. \(-7\)
15. \(-2\)
16. \(3\)
17. \(-13\)
18. \(16\)
19. \(0\)
20. \(26\)

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Boxed Final Answer:

\[
\boxed{
\begin{array}{ll}
1. & -17 \\
2. & -6 \\
3. & -16 \\
4. & 34 \\
5. & -1 \\
6. & 5 \\
7. & 2 \\
8. & -8 \\
9. & -19 \\
10. & -22 \\
11. & -15 \\
12. & -20 \\
13. & 1 \\
14. & -7 \\
15. & -2 \\
16. & 3 \\
17. & -13 \\
18. & 16 \\
19. & 0 \\
20. & 26 \\
\end{array}
}
\]