Integer Addition and Subtraction Worksheet with 26 math problems.

Problem Overview:

The task involves solving a series of integer addition and subtraction problems. The goal is to compute the results of each operation accurately, keeping in mind the rules for adding and subtracting integers.

Key Rules for Integer Operations:

1. Addition:
- If both numbers have the same sign, add their absolute values and keep the common sign.
- If the numbers have different signs, subtract the smaller absolute value from the larger one and take the sign of the number with the larger absolute value.

2. Subtraction:
- Subtracting an integer is equivalent to adding its opposite. For example, \( a - b = a + (-b) \).

Solution to Each Problem:

#### Section 1: Addition
1. \( (-90) + (-10) \)
- Both numbers are negative. Add their absolute values: \( 90 + 10 = 100 \).
- Result: \( -100 \).

2. \( (459) + (254) \)
- Both numbers are positive. Add their values: \( 459 + 254 = 713 \).
- Result: \( 713 \).

3. \( (-7) + (242) \)
- One number is negative, and the other is positive. Subtract the smaller absolute value from the larger: \( 242 - 7 = 235 \).
- Take the sign of the larger number (positive).
- Result: \( 235 \).

4. \( (71) + (180) \)
- Both numbers are positive. Add their values: \( 71 + 180 = 251 \).
- Result: \( 251 \).

5. \( (-333) + (-211) \)
- Both numbers are negative. Add their absolute values: \( 333 + 211 = 544 \).
- Result: \( -544 \).

6. \( (-312) - (471) \)
- Subtracting a positive number is like adding its opposite: \( -312 + (-471) \).
- Both numbers are negative. Add their absolute values: \( 312 + 471 = 783 \).
- Result: \( -783 \).

7. \( (-161) - (-374) \)
- Subtracting a negative number is like adding its opposite: \( -161 + 374 \).
- One number is negative, and the other is positive. Subtract the smaller absolute value from the larger: \( 374 - 161 = 213 \).
- Take the sign of the larger number (positive).
- Result: \( 213 \).

8. \( (-232) - (-107) \)
- Subtracting a negative number is like adding its opposite: \( -232 + 107 \).
- One number is negative, and the other is positive. Subtract the smaller absolute value from the larger: \( 232 - 107 = 125 \).
- Take the sign of the larger number (negative).
- Result: \( -125 \).

9. \( (381) + (298) \)
- Both numbers are positive. Add their values: \( 381 + 298 = 679 \).
- Result: \( 679 \).

10. \( (-173) + (450) \)
- One number is negative, and the other is positive. Subtract the smaller absolute value from the larger: \( 450 - 173 = 277 \).
- Take the sign of the larger number (positive).
- Result: \( 277 \).

11. \( (-181) + (292) \)
- One number is negative, and the other is positive. Subtract the smaller absolute value from the larger: \( 292 - 181 = 111 \).
- Take the sign of the larger number (positive).
- Result: \( 111 \).

12. \( (239) + (-105) \)
- One number is positive, and the other is negative. Subtract the smaller absolute value from the larger: \( 239 - 105 = 134 \).
- Take the sign of the larger number (positive).
- Result: \( 134 \).

13. \( (-160) - (-463) \)
- Subtracting a negative number is like adding its opposite: \( -160 + 463 \).
- One number is negative, and the other is positive. Subtract the smaller absolute value from the larger: \( 463 - 160 = 303 \).
- Take the sign of the larger number (positive).
- Result: \( 303 \).

14. \( (140) - (140) \)
- Subtracting a number from itself results in zero.
- Result: \( 0 \).

15. \( (119) + (55) \)
- Both numbers are positive. Add their values: \( 119 + 55 = 174 \).
- Result: \( 174 \).

16. \( (-276) - (-14) \)
- Subtracting a negative number is like adding its opposite: \( -276 + 14 \).
- One number is negative, and the other is positive. Subtract the smaller absolute value from the larger: \( 276 - 14 = 262 \).
- Take the sign of the larger number (negative).
- Result: \( -262 \).

17. \( (475) - (-155) \)
- Subtracting a negative number is like adding its opposite: \( 475 + 155 \).
- Both numbers are positive. Add their values: \( 475 + 155 = 630 \).
- Result: \( 630 \).

18. \( (67) + (-77) \)
- One number is positive, and the other is negative. Subtract the smaller absolute value from the larger: \( 77 - 67 = 10 \).
- Take the sign of the larger number (negative).
- Result: \( -10 \).

19. \( (-243) + (-385) \)
- Both numbers are negative. Add their absolute values: \( 243 + 385 = 628 \).
- Result: \( -628 \).

20. \( (381) - (70) \)
- Subtracting a positive number: \( 381 - 70 = 311 \).
- Result: \( 311 \).

#### Section 2: Subtraction
21. \( (-307) - (340) \)
- Subtracting a positive number is like adding its opposite: \( -307 + (-340) \).
- Both numbers are negative. Add their absolute values: \( 307 + 340 = 647 \).
- Result: \( -647 \).

22. \( (-453) + (421) \)
- One number is negative, and the other is positive. Subtract the smaller absolute value from the larger: \( 453 - 421 = 32 \).
- Take the sign of the larger number (negative).
- Result: \( -32 \).

23. \( (-37) + (-489) \)
- Both numbers are negative. Add their absolute values: \( 37 + 489 = 526 \).
- Result: \( -526 \).

24. \( (-121) + (+443) \)
- One number is negative, and the other is positive. Subtract the smaller absolute value from the larger: \( 443 - 121 = 322 \).
- Take the sign of the larger number (positive).
- Result: \( 322 \).

25. \( (-300) + (452) \)
- One number is negative, and the other is positive. Subtract the smaller absolute value from the larger: \( 452 - 300 = 152 \).
- Take the sign of the larger number (positive).
- Result: \( 152 \).

26. \( (198) - (-190) \)
- Subtracting a negative number is like adding its opposite: \( 198 + 190 \).
- Both numbers are positive. Add their values: \( 198 + 190 = 388 \).
- Result: \( 388 \).

Final Answers:

\[
\boxed{
\begin{array}{ll}
1. & -100 \\
2. & 713 \\
3. & 235 \\
4. & 251 \\
5. & -544 \\
6. & -783 \\
7. & 213 \\
8. & -125 \\
9. & 679 \\
10. & 277 \\
11. & 111 \\
12. & 134 \\
13. & 303 \\
14. & 0 \\
15. & 174 \\
16. & -262 \\
17. & 630 \\
18. & -10 \\
19. & -628 \\
20. & 311 \\
21. & -647 \\
22. & -32 \\
23. & -526 \\
24. & 322 \\
25. & 152 \\
26. & 388 \\
\end{array}
}
\]