Question
8. \( -6-(-11) \) 9. \( 3-17 \) 10. \( -13-(-18) \) 11. \( 22-(-12) \) 12. \( 6-(-7)+(-4) \)
Ask by Nichols Dawson. in South Africa
Jan 31,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
**8. \( -6 - (-11) = 5 \)**
**9. \( 3 - 17 = -14 \)**
**10. \( -13 - (-18) = 5 \)**
**11. \( 22 - (-12) = 34 \)**
**12. \( 6 - (-7) + (-4) = 9 \)**
Solution
Sure, let's solve each of these problems step by step:
---
**8. \( -6 - (-11) \)**
**Solution:**
Subtracting a negative number is the same as adding its positive counterpart.
\[
-6 - (-11) = -6 + 11 = 5
\]
**Answer:** \( 5 \)
---
**9. \( 3 - 17 \)**
**Solution:**
Subtract 17 from 3.
\[
3 - 17 = -14
\]
**Answer:** \( -14 \)
---
**10. \( -13 - (-18) \)**
**Solution:**
Again, subtracting a negative number is equivalent to adding its positive form.
\[
-13 - (-18) = -13 + 18 = 5
\]
**Answer:** \( 5 \)
---
**11. \( 22 - (-12) \)**
**Solution:**
Subtracting a negative number becomes addition.
\[
22 - (-12) = 22 + 12 = 34
\]
**Answer:** \( 34 \)
---
**12. \( 6 - (-7) + (-4) \)**
**Solution:**
First, handle the subtraction of a negative number, then add the negative number.
\[
6 - (-7) + (-4) = 6 + 7 - 4 = 13 - 4 = 9
\]
**Answer:** \( 9 \)
---
If you have any more questions or need further explanations, feel free to ask!
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Simplify this solution The Deep Dive
To solve \( -6 - (-11) \), think of it as taking away a debt of 11, which results in \( -6 + 11 = 5 \). For \( 3 - 17 \), it's like having 3 apples and needing to give away 17; you end up with \( 3 - 17 = -14 \). Now, \( -13 - (-18) \) is like saying "I'm down 13, but I gain back 18," leading to \( -13 + 18 = 5 \). With \( 22 - (-12) \), it's akin to gaining 12 while having 22, so you get \( 22 + 12 = 34 \). Lastly, in \( 6 - (-7) + (-4) \), start by adding 7 to 6 (that's a gain!) giving you 13, and then subtracting 4 means \( 13 - 4 = 9 \). So the answers are: 8. \( 5 \) 9. \( -14 \) 10. \( 5 \) 11. \( 34 \) 12. \( 9 \)
