Problem: Solve the given addition and subtraction problems involving integers.
####
Part 1: Find each sum
1.
Problem: $(-5) + (-5) + 1$
-
Solution:
\[
(-5) + (-5) + 1 = -5 - 5 + 1 = -10 + 1 = -9
\]
-
Answer: $-9$
2.
Problem: $1 + (-3) + 11$
-
Solution:
\[
1 + (-3) + 11 = 1 - 3 + 11 = -2 + 11 = 9
\]
-
Answer: $9$
3.
Problem: $(-9) + 4 + 7$
-
Solution:
\[
(-9) + 4 + 7 = -9 + 4 + 7 = -5 + 7 = 2
\]
-
Answer: $2$
4.
Problem: $(-12) + 4 + 8$
-
Solution:
\[
(-12) + 4 + 8 = -12 + 4 + 8 = -8 + 8 = 0
\]
-
Answer: $0$
5.
Problem: $3 + (-10) + 6$
-
Solution:
\[
3 + (-10) + 6 = 3 - 10 + 6 = -7 + 6 = -1
\]
-
Answer: $-1$
6.
Problem: $(-3) + 3 + 12$
-
Solution:
\[
(-3) + 3 + 12 = -3 + 3 + 12 = 0 + 12 = 12
\]
-
Answer: $12$
---
####
Part 2: Find each difference
7.
Problem: $(-4) - (-8) - 2$
-
Solution:
\[
(-4) - (-8) - 2 = -4 + 8 - 2 = 4 - 2 = 2
\]
-
Answer: $2$
8.
Problem: $(-2) - (-1) - (-7)$
-
Solution:
\[
(-2) - (-1) - (-7) = -2 + 1 + 7 = -1 + 7 = 6
\]
-
Answer: $6$
9.
Problem: $2 - (-5) - 3$
-
Solution:
\[
2 - (-5) - 3 = 2 + 5 - 3 = 7 - 3 = 4
\]
-
Answer: $4$
10.
Problem: $(-7) - (-7) - 4$
-
Solution:
\[
(-7) - (-7) - 4 = -7 + 7 - 4 = 0 - 4 = -4
\]
-
Answer: $-4$
11.
Problem: $(-6) - 4 - (-4)$
-
Solution:
\[
(-6) - 4 - (-4) = -6 - 4 + 4 = -10 + 4 = -6
\]
-
Answer: $-6$
12.
Problem: $(-8) - (-8) - 5$
-
Solution:
\[
(-8) - (-8) - 5 = -8 + 8 - 5 = 0 - 5 = -5
\]
-
Answer: $-5$
---
Final Answers:
\[
\boxed{
\begin{array}{ll}
1. & -9 \\
2. & 9 \\
3. & 2 \\
4. & 0 \\
5. & -1 \\
6. & 12 \\
7. & 2 \\
8. & 6 \\
9. & 4 \\
10. & -4 \\
11. & -6 \\
12. & -5 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of worksheet subtraction of integers.
