I'll solve each problem step by step, working through all calculations carefully.
ADDITION PROBLEMS:
1) 5956 + 2381
- 6 + 1 = 7
- 5 + 8 = 13 (write 3, carry 1)
- 9 + 3 + 1 = 13 (write 3, carry 1)
- 5 + 2 + 1 = 8
Answer: 8337
2) 6253 + 6821
- 3 + 1 = 4
- 5 + 2 = 7
- 2 + 8 = 10 (write 0, carry 1)
- 6 + 6 + 1 = 13
Answer: 13074
3) 7156 + 2039
- 6 + 9 = 15 (write 5, carry 1)
- 5 + 3 + 1 = 9
- 1 + 0 = 1
- 7 + 2 = 9
Answer: 9195
SUBTRACTION PROBLEMS:
4) 8251 - 3076
- 1 - 6: need to borrow, 11 - 6 = 5
- 4 - 7: need to borrow, 14 - 7 = 7
- 1 - 0 = 1
- 8 - 3 = 5
Answer: 5175
5) 9756 - 7237
- 6 - 7: need to borrow, 16 - 7 = 9
- 4 - 3 = 1
- 7 - 2 = 5
- 9 - 7 = 2
Answer: 2519
6) 6514 - 2398
- 4 - 8: need to borrow, 14 - 8 = 6
- 0 - 9: need to borrow, 10 - 9 = 1
- 4 - 3 = 1
- 6 - 2 = 4
Answer: 4116
MULTIPLICATION PROBLEMS:
7) 986 × 72
First: 986 × 2 = 1972
Then: 986 × 70 = 69020
Total: 1972 + 69020 = 70992
Let me verify: 986 × 72
= 986 × (70 + 2)
= 986 × 70 + 986 × 2
= 69020 + 1972
= 70992 ✓
Answer: 70992
8) 568 × 65
First: 568 × 5 = 2840
Then: 568 × 60 = 34080
Total: 2840 + 34080 = 36920
Let me verify: 568 × 65
= 568 × (60 + 5)
= 568 × 60 + 568 × 5
= 34080 + 2840
= 36920 ✓
Answer: 36920
9) 1234 × 96
First: 1234 × 6 = 7404
Then: 1234 × 90 = 111060
Total: 7404 + 111060 = 118464
Let me verify: 1234 × 96
= 1234 × (90 + 6)
= 1234 × 90 + 1234 × 6
= 111060 + 7404
= 118464 ✓
Answer: 118464
DIVISION PROBLEMS:
10) 1920 ÷ 60
60 × 30 = 1800
60 × 32 = 1920
Answer: 32
11) 4617 ÷ 19
19 × 200 = 3800
4617 - 3800 = 817
19 × 40 = 760
817 - 760 = 57
19 × 3 = 57
So: 200 + 40 + 3 = 243
Let me verify: 19 × 243 = ?
19 × 243 = 19 × (200 + 40 + 3)
= 3800 + 760 + 57
= 4617 ✓
Answer: 243
12) 5494 ÷ 82
82 × 60 = 4920
5494 - 4920 = 574
82 × 7 = 574
So: 60 + 7 = 67
Let me verify: 82 × 67 = ?
82 × 67 = 82 × (60 + 7)
= 4920 + 574
= 5494 ✓
Answer: 67
Final Answer:
Addition:
1) 5956 + 2381 = 8337
2) 6253 + 6821 = 13074
3) 7156 + 2039 = 9195
Subtraction:
4) 8251 - 3076 = 5175
5) 9756 - 7237 = 2519
6) 6514 - 2398 = 4116
Multiplication:
7) 986 × 72 = 70992
8) 568 × 65 = 36920
9) 1234 × 96 = 118464
Division:
10) 1920 ÷ 60 = 32
11) 4617 ÷ 19 = 243
12) 5494 ÷ 82 = 67
Parent Tip: Review the logic above to help your child master the concept of addition subtraction multiplication division worksheet for 2nd grade.