Let's solve each problem in the worksheet
"Adding and Subtracting Integers (A)" step by step. We'll apply the rules for adding and subtracting integers:
Rules to Remember:
-
Adding two positive numbers: Add them normally.
-
Adding two negative numbers: Add their absolute values, result is negative.
-
Adding a positive and a negative number: Subtract the smaller absolute value from the larger one; sign of the result matches the number with the larger absolute value.
-
Subtracting a number: Change the subtraction to addition and change the sign of the number being subtracted.
---
Now, let's go through each problem:
---
Left Column:
1.
−5 − 23
= −5 + (−23) = −28
2.
24 − (−6)
= 24 + 6 = 30
3.
−22 − 3
= −22 + (−3) = −25
4.
−7 − (−25)
= −7 + 25 = 18
5.
19 + (−4)
= 19 − 4 = 15
6.
13 + 20
= 33
7.
−15 − (−18)
= −15 + 18 = 3
8.
3 + (−14)
= 3 − 14 = −11
9.
−20 − 19
= −20 + (−19) = −39
10.
−25 + 25
= 0
11.
16 + (−7)
= 16 − 7 = 9
12.
23 + 2
= 25
13.
15 + (−5)
= 15 − 5 = 10
---
Right Column:
1.
17 − 13
= 4
2.
2 + (−16)
= 2 − 16 = −14
3.
19 − 3
= 16
4.
11 − 21
= 11 + (−21) = −10
5.
−17 − 18
= −17 + (−18) = −35
6.
−20 − (−17)
= −20 + 17 = −3
7.
−20 + (−23)
= −20 − 23 = −43
8.
−4 + (−24)
= −28
9.
21 − 3
= 18
10.
−16 + (−5)
= −21
11.
19 − 5
= 14
12.
−24 + (−22)
= −46
---
Final Answers:
#### Left Column:
1. −28
2. 30
3. −25
4. 18
5. 15
6. 33
7. 3
8. −11
9. −39
10. 0
11. 9
12. 25
13. 10
#### Right Column:
1. 4
2. −14
3. 16
4. −10
5. −35
6. −3
7. −43
8. −28
9. 18
10. −21
11. 14
12. −46
---
✔ Answer Key (Formatted):
```
-5 - 23 = -28 17 - 13 = 4
24 - (-6) = 30 2 + (-16) = -14
-22 - 3 = -25 19 - 3 = 16
-7 - (-25) = 18 11 - 21 = -10
19 + (-4) = 15 -17 - 18 = -35
13 + 20 = 33 -20 - (-17) = -3
-15 - (-18) = 3 -20 + (-23) = -43
3 + (-14) = -11 -4 + (-24) = -28
-20 - 19 = -39 21 - 3 = 18
-25 + 25 = 0 -16 + (-5) = -21
16 + (-7) = 9 19 - 5 = 14
23 + 2 = 25 -24 + (-22) = -46
15 + (-5) = 10
```
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of add integers print worksheet.
