Sure! Let’s solve each of the integer addition and subtraction problems step by step. The key rules to remember are:
-
Adding two positives → add normally, result is positive.
-
Adding two negatives → add absolute values, result is negative.
-
Adding a positive and a negative → subtract the smaller absolute value from the larger, and keep the sign of the number with the larger absolute value.
-
Subtracting an integer → add its opposite:
`a - b = a + (-b)`
`a - (-b) = a + b`
---
Let’s go row by row.
---
Row 1:
( +2 ) – ( –16 ) =
→ Subtracting a negative is adding a positive:
`2 + 16 = 18`
✔
( –18 ) – ( +20 ) =
→ Subtracting a positive: `-18 - 20 = -38`
✔
---
Row 2:
( +13 ) – ( +14 ) =
→ `13 - 14 = -1`
✔
( +10 ) + ( –14 ) =
→ `10 - 14 = -4`
✔
---
Row 3:
( –11 ) + ( +16 ) =
→ `-11 + 16 = 5`
✔
( –18 ) – ( +2 ) =
→ `-18 - 2 = -20`
✔
---
Row 4:
( –6 ) + ( –15 ) =
→ Add absolute values, keep negative: `-6 -15 = -21`
✔
( +2 ) + ( +17 ) =
→ `2 + 17 = 19`
✔
---
Row 5:
( –15 ) + ( +9 ) =
→ `-15 + 9 = -6`
✔
( +7 ) + ( –18 ) =
→ `7 - 18 = -11`
✔
---
Row 6:
( +7 ) – ( +13 ) =
→ `7 - 13 = -6`
✔
( –13 ) + ( +12 ) =
→ `-13 + 12 = -1`
✔
---
Row 7:
( +1 ) + ( +14 ) =
→ `1 + 14 = 15`
✔
( +14 ) – ( +18 ) =
→ `14 - 18 = -4`
✔
---
Row 8:
( +18 ) – ( +15 ) =
→ `18 - 15 = 3`
✔
( –16 ) + ( +6 ) =
→ `-16 + 6 = -10`
✔
---
Row 9:
( –19 ) + ( –12 ) =
→ `-19 -12 = -31`
✔
( –17 ) + ( –2 ) =
→ `-17 -2 = -19`
✔
---
Row 10:
( +18 ) – ( +4 ) =
→ `18 - 4 = 14`
✔
( –19 ) + ( –14 ) =
→ `-19 -14 = -33`
✔
---
Row 11:
( +8 ) + ( –18 ) =
→ `8 - 18 = -10`
✔
( –15 ) – ( –13 ) =
→ Subtracting a negative: `-15 + 13 = -2`
✔
---
Row 12:
( –6 ) – ( –16 ) =
→ `-6 + 16 = 10`
✔
( –12 ) + ( –1 ) =
→ `-12 -1 = -13`
✔
---
Row 13:
( +16 ) – ( +12 ) =
→ `16 - 12 = 4`
✔
---
##
✔ Final Answers (in order):
```
18, -38
-1, -4
5, -20
-21, 19
-6, -11
-6, -1
15, -4
3, -10
-31, -19
14, -33
-10, -2
10, -13
4
```
You can write these in the answer boxes on your worksheet accordingly.
Let me know if you’d like a printable version or explanation for any specific problem! 😊
Parent Tip: Review the logic above to help your child master the concept of integers adding and subtracting integers.