Here are the solutions to the integer addition and subtraction problems, calculated step-by-step.
Column 1:
1. $3 + (-8)$: Adding a negative is like subtracting. $3 - 8 = -5$.
2. $6 - (-4)$: Subtracting a negative becomes addition. $6 + 4 = 10$.
3. $6 - 5$: Simple subtraction. $6 - 5 = 1$.
4. $(-8) + (-2)$: Adding two negatives means you add the numbers and keep the negative sign. $8 + 2 = 10$, so the answer is $-10$.
5. $8 + (-10)$: This is $8 - 10$. Since 10 is larger than 8, the answer is negative. $10 - 8 = 2$, so the answer is $-2$.
6. $8 - (-2)$: Subtracting a negative becomes addition. $8 + 2 = 10$.
7. $(-2) + 6$: This is the same as $6 - 2$. $6 - 2 = 4$.
8. $(-1) - 0$: Subtracting zero changes nothing. The answer is $-1$.
9. $(-1) - (-2)$: Subtracting a negative becomes addition. $-1 + 2 = 1$.
10. $7 - 4$: Simple subtraction. $7 - 4 = 3$.
Column 2:
11. $(-9) - (-4)$: Subtracting a negative becomes addition. $-9 + 4$. Since 9 is larger than 4, the answer is negative. $9 - 4 = 5$, so the answer is $-5$.
12. $(-4) - (-2)$: Subtracting a negative becomes addition. $-4 + 2$. Since 4 is larger than 2, the answer is negative. $4 - 2 = 2$, so the answer is $-2$.
13. $(-2) - 5$: You start at -2 and go down 5 more. $-2 - 5 = -7$.
14. $8 + 6$: Simple addition. $8 + 6 = 14$.
15. $2 - (-10)$: Subtracting a negative becomes addition. $2 + 10 = 12$.
16. $1 - (-7)$: Subtracting a negative becomes addition. $1 + 7 = 8$.
17. $(-4) - 4$: Start at -4 and go down 4 more. $-4 - 4 = -8$.
18. $7 - 5$: Simple subtraction. $7 - 5 = 2$.
19. $(-5) - (-6)$: Subtracting a negative becomes addition. $-5 + 6 = 1$.
20. $(-2) + 5$: This is the same as $5 - 2$. $5 - 2 = 3$.
Column 3:
21. $7 - 5$: Simple subtraction. $7 - 5 = 2$.
22. $(-4) - 10$: Start at -4 and go down 10 more. $-4 - 10 = -14$.
23. $(-2) - 7$: Start at -2 and go down 7 more. $-2 - 7 = -9$.
24. $(-9) + 10$: This is the same as $10 - 9$. $10 - 9 = 1$.
25. $8 - 5$: Simple subtraction. $8 - 5 = 3$.
26. $4 + 2$: Simple addition. $4 + 2 = 6$.
27. $9 - (-7)$: Subtracting a negative becomes addition. $9 + 7 = 16$.
28. $(-5) + (-10)$: Adding two negatives. Add the numbers ($5+10=15$) and keep the negative sign. Answer is $-15$.
29. $9 - (-9)$: Subtracting a negative becomes addition. $9 + 9 = 18$.
30. $(-4) - (-10)$: Subtracting a negative becomes addition. $-4 + 10$. This is the same as $10 - 4$. $10 - 4 = 6$.
Final Answer:
Column 1:
-5, 10, 1, -10, -2, 10, 4, -1, 1, 3
Column 2:
-5, -2, -7, 14, 12, 8, -8, 2, 1, 3
Column 3:
2, -14, -9, 1, 3, 6, 16, -15, 18, 6
Parent Tip: Review the logic above to help your child master the concept of adding and subtracting integers worksheets.
