Area Model Multiplication Worksheets Bundle - ExperTuition - Free Printable
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Step-by-step solution for: Area Model Multiplication Worksheets Bundle - ExperTuition
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Show Answer Key & Explanations
Step-by-step solution for: Area Model Multiplication Worksheets Bundle - ExperTuition
Let’s solve each problem step by step using the area model method. The area model breaks numbers into tens and ones, multiplies each part, then adds them up.
---
Set A2: 2-digit by 1-digit Multiplication
Problem 1: 95 × 6
Break 95 into 90 + 5
Multiply each by 6:
- 90 × 6 = 540 (already filled in)
- 5 × 6 = 30
Add: 540 + 30 = 570
Answer: D. 570
---
Problem 2: 54 × 8
Break 54 into 50 + 4
Multiply each by 8:
- 50 × 8 = 400
- 4 × 8 = 32
Add: 400 + 32 = 432
Answer: B. 432
---
Problem 3: 25 × 7
Break 25 into 20 + 5
Multiply each by 7:
- 20 × 7 = 140
- 5 × 7 = 35
Add: 140 + 35 = 175
Answer: C. 175
*(Note: The blank after “20 +” should be filled with “5”)*
---
Problem 4: 43 × 9
Break 43 into 40 + 3
Multiply each by 9:
- 40 × 9 = 360
- 3 × 9 = 27
Add: 360 + 27 = 387
Answer: A. 387
*(Blank after “40 +” is “3”)*
---
Set B2: 2-digit by 2-digit Multiplication
We’ll do a few to show the pattern — you can apply it to others.
---
Problem 1: 74 × 67
Already partially done:
Top row: 70 + 4
Left column: 60 + 7
Area boxes:
- 60 × 70 = 4,200 ✔
- 60 × 4 = 240 ✔
- 7 × 70 = 490 ✔
- 7 × 4 = 28 ← missing!
Now add all parts:
4,200
+ 240 → 4,440
+ 490 → 4,930
+ 28 → 4,958
But wait — the worksheet shows:
Right side has:
4,200
490
240
+ ___ → probably 28
So total = 4,200 + 490 + 240 + 28 = let’s compute:
4,200 + 490 = 4,690
4,690 + 240 = 4,930
4,930 + 28 = 4,958
✔ Final Answer for #1: 4,958
---
Problem 2: 53 × 79
Break 53 → 50 + 3
Break 79 → 70 + 9
Area boxes:
- 70 × 50 = 3,500 ✔
- 70 × 3 = 210
- 9 × 50 = 450
- 9 × 3 = 27
Add:
3,500
+ 210 → 3,710
+ 450 → 4,160
+ 27 → 4,187
✔ Final Answer for #2: 4,187
---
Problem 3: 85 × 86
Break 85 → 80 + 5
Break 86 → 80 + 6
Boxes:
- 80 × 80 = 6,400
- 80 × 5 = 400
- 6 × 80 = 480
- 6 × 5 = 30
Add:
6,400
+ 400 → 6,800
+ 480 → 7,280
+ 30 → 7,310
✔ Final Answer for #3: 7,310
---
Problem 4: 26 × 98
Break 26 → 20 + 6
Break 98 → 90 + 8
Boxes:
- 90 × 20 = 1,800
- 90 × 6 = 540
- 8 × 20 = 160
- 8 × 6 = 48
Add:
1,800
+ 540 → 2,340
+ 160 → 2,500
+ 48 → 2,548
✔ Final Answer for #4: 2,548
---
Problem 5: 42 × 76
Break 42 → 40 + 2
Break 76 → 70 + 6
Boxes:
- 70 × 40 = 2,800
- 70 × 2 = 140
- 6 × 40 = 240
- 6 × 2 = 12
Add:
2,800
+ 140 → 2,940
+ 240 → 3,180
+ 12 → 3,192
✔ Final Answer for #5: 3,192
---
Problem 6: 67 × 68
Break 67 → 60 + 7
Break 68 → 60 + 8
Boxes:
- 60 × 60 = 3,600
- 60 × 7 = 420
- 8 × 60 = 480
- 8 × 7 = 56
Add:
3,600
+ 420 → 4,020
+ 480 → 4,500
+ 56 → 4,556
✔ Final Answer for #6: 4,556
---
Problem 7: 35 × 97
Break 35 → 30 + 5
Break 97 → 90 + 7
Boxes:
- 90 × 30 = 2,700
- 90 × 5 = 450
- 7 × 30 = 210
- 7 × 5 = 35
Add:
2,700
+ 450 → 3,150
+ 210 → 3,360
+ 35 → 3,395
✔ Final Answer for #7: 3,395
---
Problem 8: 19 × 89
Break 19 → 10 + 9
Break 89 → 80 + 9
Boxes:
- 80 × 10 = 800
- 80 × 9 = 720
- 9 × 10 = 90
- 9 × 9 = 81
Add:
800
+ 720 → 1,520
+ 90 → 1,610
+ 81 → 1,691
✔ Final Answer for #8: 1,691
---
Final Answers Summary:
Set A2:
1. D. 570
2. B. 432
3. C. 175
4. A. 387
Set B2:
1. 4,958
2. 4,187
3. 7,310
4. 2,548
5. 3,192
6. 4,556
7. 3,395
8. 1,691
──────────────────────────────────────
Final Answer:
Set A2: 1-D, 2-B, 3-C, 4-A
Set B2: 1-4958, 2-4187, 3-7310, 4-2548, 5-3192, 6-4556, 7-3395, 8-1691
---
Set A2: 2-digit by 1-digit Multiplication
Problem 1: 95 × 6
Break 95 into 90 + 5
Multiply each by 6:
- 90 × 6 = 540 (already filled in)
- 5 × 6 = 30
Add: 540 + 30 = 570
Answer: D. 570
---
Problem 2: 54 × 8
Break 54 into 50 + 4
Multiply each by 8:
- 50 × 8 = 400
- 4 × 8 = 32
Add: 400 + 32 = 432
Answer: B. 432
---
Problem 3: 25 × 7
Break 25 into 20 + 5
Multiply each by 7:
- 20 × 7 = 140
- 5 × 7 = 35
Add: 140 + 35 = 175
Answer: C. 175
*(Note: The blank after “20 +” should be filled with “5”)*
---
Problem 4: 43 × 9
Break 43 into 40 + 3
Multiply each by 9:
- 40 × 9 = 360
- 3 × 9 = 27
Add: 360 + 27 = 387
Answer: A. 387
*(Blank after “40 +” is “3”)*
---
Set B2: 2-digit by 2-digit Multiplication
We’ll do a few to show the pattern — you can apply it to others.
---
Problem 1: 74 × 67
Already partially done:
Top row: 70 + 4
Left column: 60 + 7
Area boxes:
- 60 × 70 = 4,200 ✔
- 60 × 4 = 240 ✔
- 7 × 70 = 490 ✔
- 7 × 4 = 28 ← missing!
Now add all parts:
4,200
+ 240 → 4,440
+ 490 → 4,930
+ 28 → 4,958
But wait — the worksheet shows:
Right side has:
4,200
490
240
+ ___ → probably 28
So total = 4,200 + 490 + 240 + 28 = let’s compute:
4,200 + 490 = 4,690
4,690 + 240 = 4,930
4,930 + 28 = 4,958
✔ Final Answer for #1: 4,958
---
Problem 2: 53 × 79
Break 53 → 50 + 3
Break 79 → 70 + 9
Area boxes:
- 70 × 50 = 3,500 ✔
- 70 × 3 = 210
- 9 × 50 = 450
- 9 × 3 = 27
Add:
3,500
+ 210 → 3,710
+ 450 → 4,160
+ 27 → 4,187
✔ Final Answer for #2: 4,187
---
Problem 3: 85 × 86
Break 85 → 80 + 5
Break 86 → 80 + 6
Boxes:
- 80 × 80 = 6,400
- 80 × 5 = 400
- 6 × 80 = 480
- 6 × 5 = 30
Add:
6,400
+ 400 → 6,800
+ 480 → 7,280
+ 30 → 7,310
✔ Final Answer for #3: 7,310
---
Problem 4: 26 × 98
Break 26 → 20 + 6
Break 98 → 90 + 8
Boxes:
- 90 × 20 = 1,800
- 90 × 6 = 540
- 8 × 20 = 160
- 8 × 6 = 48
Add:
1,800
+ 540 → 2,340
+ 160 → 2,500
+ 48 → 2,548
✔ Final Answer for #4: 2,548
---
Problem 5: 42 × 76
Break 42 → 40 + 2
Break 76 → 70 + 6
Boxes:
- 70 × 40 = 2,800
- 70 × 2 = 140
- 6 × 40 = 240
- 6 × 2 = 12
Add:
2,800
+ 140 → 2,940
+ 240 → 3,180
+ 12 → 3,192
✔ Final Answer for #5: 3,192
---
Problem 6: 67 × 68
Break 67 → 60 + 7
Break 68 → 60 + 8
Boxes:
- 60 × 60 = 3,600
- 60 × 7 = 420
- 8 × 60 = 480
- 8 × 7 = 56
Add:
3,600
+ 420 → 4,020
+ 480 → 4,500
+ 56 → 4,556
✔ Final Answer for #6: 4,556
---
Problem 7: 35 × 97
Break 35 → 30 + 5
Break 97 → 90 + 7
Boxes:
- 90 × 30 = 2,700
- 90 × 5 = 450
- 7 × 30 = 210
- 7 × 5 = 35
Add:
2,700
+ 450 → 3,150
+ 210 → 3,360
+ 35 → 3,395
✔ Final Answer for #7: 3,395
---
Problem 8: 19 × 89
Break 19 → 10 + 9
Break 89 → 80 + 9
Boxes:
- 80 × 10 = 800
- 80 × 9 = 720
- 9 × 10 = 90
- 9 × 9 = 81
Add:
800
+ 720 → 1,520
+ 90 → 1,610
+ 81 → 1,691
✔ Final Answer for #8: 1,691
---
Final Answers Summary:
Set A2:
1. D. 570
2. B. 432
3. C. 175
4. A. 387
Set B2:
1. 4,958
2. 4,187
3. 7,310
4. 2,548
5. 3,192
6. 4,556
7. 3,395
8. 1,691
──────────────────────────────────────
Final Answer:
Set A2: 1-D, 2-B, 3-C, 4-A
Set B2: 1-4958, 2-4187, 3-7310, 4-2548, 5-3192, 6-4556, 7-3395, 8-1691
Parent Tip: Review the logic above to help your child master the concept of 4th grade area model worksheet.
