Math subtraction worksheet with problems involving negative numbers.
A math worksheet with 16 subtraction problems involving positive and negative integers.
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Step-by-step solution for: Integers worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Integers worksheet
To solve the given problems, we need to carefully handle the subtraction of integers, keeping in mind the rules for subtracting positive and negative numbers. Here are the solutions step by step:
1. Subtracting a negative number is the same as adding its positive counterpart.
- \( a - (-b) = a + b \)
2. Subtracting a positive number is straightforward.
- \( a - b = a - b \)
#### 1) \( (-13) - (-5) \)
- Subtracting a negative is the same as adding its positive counterpart.
- \( (-13) - (-5) = (-13) + 5 = -8 \)
- Answer: \(-8\)
#### 2) \( (-9) - 16 \)
- Subtracting a positive number is straightforward.
- \( (-9) - 16 = -9 - 16 = -25 \)
- Answer: \(-25\)
#### 3) \( 7 - (-11) \)
- Subtracting a negative is the same as adding its positive counterpart.
- \( 7 - (-11) = 7 + 11 = 18 \)
- Answer: \(18\)
#### 4) \( 20 - 3 \)
- Subtracting a positive number is straightforward.
- \( 20 - 3 = 17 \)
- Answer: \(17\)
#### 5) \( (-18) - 14 \)
- Subtracting a positive number is straightforward.
- \( (-18) - 14 = -18 - 14 = -32 \)
- Answer: \(-32\)
#### 6) \( (-10) - (-10) \)
- Subtracting a negative is the same as adding its positive counterpart.
- \( (-10) - (-10) = (-10) + 10 = 0 \)
- Answer: \(0\)
#### 7) \( 15 - 2 \)
- Subtracting a positive number is straightforward.
- \( 15 - 2 = 13 \)
- Answer: \(13\)
#### 8) \( 8 - (-12) \)
- Subtracting a negative is the same as adding its positive counterpart.
- \( 8 - (-12) = 8 + 12 = 20 \)
- Answer: \(20\)
#### 9) \( (-20) - 9 \)
- Subtracting a positive number is straightforward.
- \( (-20) - 9 = -20 - 9 = -29 \)
- Answer: \(-29\)
#### 10) \( 17 - 6 \)
- Subtracting a positive number is straightforward.
- \( 17 - 6 = 11 \)
- Answer: \(11\)
#### 11) \( (-8) - (-14) \)
- Subtracting a negative is the same as adding its positive counterpart.
- \( (-8) - (-14) = (-8) + 14 = 6 \)
- Answer: \(6\)
#### 12) \( 12 - (-3) \)
- Subtracting a negative is the same as adding its positive counterpart.
- \( 12 - (-3) = 12 + 3 = 15 \)
- Answer: \(15\)
#### 13) \( 5 - 19 \)
- Subtracting a positive number is straightforward.
- \( 5 - 19 = -14 \)
- Answer: \(-14\)
#### 14) \( (-16) - 10 \)
- Subtracting a positive number is straightforward.
- \( (-16) - 10 = -16 - 10 = -26 \)
- Answer: \(-26\)
#### 15) \( 18 - (-4) \)
- Subtracting a negative is the same as adding its positive counterpart.
- \( 18 - (-4) = 18 + 4 = 22 \)
- Answer: \(22\)
#### 16) \( (-17) - (-1) \)
- Subtracting a negative is the same as adding its positive counterpart.
- \( (-17) - (-1) = (-17) + 1 = -16 \)
- Answer: \(-16\)
1. \(-8\)
2. \(-25\)
3. \(18\)
4. \(17\)
5. \(-32\)
6. \(0\)
7. \(13\)
8. \(20\)
9. \(-29\)
10. \(11\)
11. \(6\)
12. \(15\)
13. \(-14\)
14. \(-26\)
15. \(22\)
16. \(-16\)
\[
\boxed{
\begin{array}{ll}
1) & -8 \\
2) & -25 \\
3) & 18 \\
4) & 17 \\
5) & -32 \\
6) & 0 \\
7) & 13 \\
8) & 20 \\
9) & -29 \\
10) & 11 \\
11) & 6 \\
12) & 15 \\
13) & -14 \\
14) & -26 \\
15) & 22 \\
16) & -16 \\
\end{array}
}
\]
General Rules for Subtracting Integers:
1. Subtracting a negative number is the same as adding its positive counterpart.
- \( a - (-b) = a + b \)
2. Subtracting a positive number is straightforward.
- \( a - b = a - b \)
Solutions:
#### 1) \( (-13) - (-5) \)
- Subtracting a negative is the same as adding its positive counterpart.
- \( (-13) - (-5) = (-13) + 5 = -8 \)
- Answer: \(-8\)
#### 2) \( (-9) - 16 \)
- Subtracting a positive number is straightforward.
- \( (-9) - 16 = -9 - 16 = -25 \)
- Answer: \(-25\)
#### 3) \( 7 - (-11) \)
- Subtracting a negative is the same as adding its positive counterpart.
- \( 7 - (-11) = 7 + 11 = 18 \)
- Answer: \(18\)
#### 4) \( 20 - 3 \)
- Subtracting a positive number is straightforward.
- \( 20 - 3 = 17 \)
- Answer: \(17\)
#### 5) \( (-18) - 14 \)
- Subtracting a positive number is straightforward.
- \( (-18) - 14 = -18 - 14 = -32 \)
- Answer: \(-32\)
#### 6) \( (-10) - (-10) \)
- Subtracting a negative is the same as adding its positive counterpart.
- \( (-10) - (-10) = (-10) + 10 = 0 \)
- Answer: \(0\)
#### 7) \( 15 - 2 \)
- Subtracting a positive number is straightforward.
- \( 15 - 2 = 13 \)
- Answer: \(13\)
#### 8) \( 8 - (-12) \)
- Subtracting a negative is the same as adding its positive counterpart.
- \( 8 - (-12) = 8 + 12 = 20 \)
- Answer: \(20\)
#### 9) \( (-20) - 9 \)
- Subtracting a positive number is straightforward.
- \( (-20) - 9 = -20 - 9 = -29 \)
- Answer: \(-29\)
#### 10) \( 17 - 6 \)
- Subtracting a positive number is straightforward.
- \( 17 - 6 = 11 \)
- Answer: \(11\)
#### 11) \( (-8) - (-14) \)
- Subtracting a negative is the same as adding its positive counterpart.
- \( (-8) - (-14) = (-8) + 14 = 6 \)
- Answer: \(6\)
#### 12) \( 12 - (-3) \)
- Subtracting a negative is the same as adding its positive counterpart.
- \( 12 - (-3) = 12 + 3 = 15 \)
- Answer: \(15\)
#### 13) \( 5 - 19 \)
- Subtracting a positive number is straightforward.
- \( 5 - 19 = -14 \)
- Answer: \(-14\)
#### 14) \( (-16) - 10 \)
- Subtracting a positive number is straightforward.
- \( (-16) - 10 = -16 - 10 = -26 \)
- Answer: \(-26\)
#### 15) \( 18 - (-4) \)
- Subtracting a negative is the same as adding its positive counterpart.
- \( 18 - (-4) = 18 + 4 = 22 \)
- Answer: \(22\)
#### 16) \( (-17) - (-1) \)
- Subtracting a negative is the same as adding its positive counterpart.
- \( (-17) - (-1) = (-17) + 1 = -16 \)
- Answer: \(-16\)
Final Answers:
1. \(-8\)
2. \(-25\)
3. \(18\)
4. \(17\)
5. \(-32\)
6. \(0\)
7. \(13\)
8. \(20\)
9. \(-29\)
10. \(11\)
11. \(6\)
12. \(15\)
13. \(-14\)
14. \(-26\)
15. \(22\)
16. \(-16\)
Boxed Final Answer:
\[
\boxed{
\begin{array}{ll}
1) & -8 \\
2) & -25 \\
3) & 18 \\
4) & 17 \\
5) & -32 \\
6) & 0 \\
7) & 13 \\
8) & 20 \\
9) & -29 \\
10) & 11 \\
11) & 6 \\
12) & 15 \\
13) & -14 \\
14) & -26 \\
15) & 22 \\
16) & -16 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of worksheet integers.