Worksheets for 4-digit by 1-digit multiplication using the area model, featuring multiple choice and open-ended questions.
Two educational worksheets for 4-digit by 1-digit multiplication using the area model, labeled "Set A1" and "Set B2," with one multiple choice and one open-ended format.
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Show Answer Key & Explanations
Step-by-step solution for: 4 Digit by 1 Digit Area Model Multiplication Worksheets | Made By ...
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Show Answer Key & Explanations
Step-by-step solution for: 4 Digit by 1 Digit Area Model Multiplication Worksheets | Made By ...
Let’s solve each problem step by step using the area model. The area model breaks a big multiplication into smaller, easier parts — like breaking a large rectangle into smaller rectangles and adding their areas.
We’ll go through Set A1 (Multiple Choice) first, then Set B2 (Open-ended).
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Set A1: Multiple Choice
Problem 1: 4,324 × 3
Break 4,324 into: 4,000 + 300 + 20 + 4
Multiply each part by 3:
- 4,000 × 3 = 12,000
- 300 × 3 = 900
- 20 × 3 = 60
- 4 × 3 = 12 ← This is missing in the table! We need to add it.
Now add them all:
12,000 + 900 = 12,900
12,900 + 60 = 12,960
12,960 + 12 = 12,972
Look at choices:
A. 12,964
B. 12,962
C. 12,972 ✔
D. 12,982
→ Answer: C
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Problem 2: 5,423 × 2
Break 5,423 into: 5,000 + 400 + 20 + 3
Multiply each by 2:
- 5,000 × 2 = 10,000
- 400 × 2 = 800
- 20 × 2 = 40
- 3 × 2 = 6
Add them:
10,000 + 800 = 10,800
10,800 + 40 = 10,840
10,840 + 6 = 10,846
Choices:
A. 10,846 ✔
B. 10,946
C. 10,856
D. 10,956
→ Answer: A
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Problem 3: 3,241 × 4
Break 3,241 into: 3,000 + 200 + 40 + 1
Multiply each by 4:
- 3,000 × 4 = 12,000
- 200 × 4 = 800
- 40 × 4 = 160
- 1 × 4 = 4
Add them:
12,000 + 800 = 12,800
12,800 + 160 = 12,960
12,960 + 4 = 12,964
Choices:
A. 12,764
B. 12,864
C. 12,874
D. 12,964 ✔
→ Answer: D
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Problem 4: 2,513 × 5
Break 2,513 into: 2,000 + 500 + 10 + 3
Multiply each by 5:
- 2,000 × 5 = 10,000
- 500 × 5 = 2,500
- 10 × 5 = 50
- 3 × 5 = 15
Add them:
10,000 + 2,500 = 12,500
12,500 + 50 = 12,550
12,550 + 15 = 12,565
Choices:
A. 10,565
B. 11,565
C. 12,565 ✔
D. 12,655
→ Answer: C
---
Set B2: Open-ended (Fill in the blanks)
Problem 1: 4,276 × 6
Break 4,276 into: 4,000 + 200 + 70 + 6
Multiply each by 6:
- 4,000 × 6 = 24,000
- 200 × 6 = 1,200
- 70 × 6 = 420
- 6 × 6 = 36 ← Missing! Add this.
Total:
24,000 + 1,200 = 25,200
25,200 + 420 = 25,620
25,620 + 36 = 25,656
So fill in the last box with 36, and write answer: 25,656
---
Problem 2: 3,645 × 8
Break 3,645 into: 3,000 + 600 + 40 + 5
Multiply each by 8:
- 3,000 × 8 = 24,000
- 600 × 8 = 4,800
- 40 × 8 = 320
- 5 × 8 = 40
Add:
24,000 + 4,800 = 28,800
28,800 + 320 = 29,120
29,120 + 40 = 29,160
Fill boxes: 4,800 | 320 | 40
Answer: 29,160
---
Problem 3: 5,364 × 7
Break 5,364 into: 5,000 + 300 + 60 + 4
Multiply each by 7:
- 5,000 × 7 = 35,000
- 300 × 7 = 2,100
- 60 × 7 = 420
- 4 × 7 = 28
Add:
35,000 + 2,100 = 37,100
37,100 + 420 = 37,520
37,520 + 28 = 37,548
Fill boxes: 35,000 | 2,100 | 420 | 28
Answer: 37,548
---
Problem 4: 6,253 × 9
Break 6,253 into: 6,000 + 200 + 50 + 3
Multiply each by 9:
- 6,000 × 9 = 54,000
- 200 × 9 = 1,800
- 50 × 9 = 450
- 3 × 9 = 27
Add:
54,000 + 1,800 = 55,800
55,800 + 450 = 56,250
56,250 + 27 = 56,277
Fill boxes: 54,000 | 1,800 | 450 | 27
Answer: 56,277
---
Problem 5: 1,572 × 7
Break 1,572 into: 1,000 + 500 + 70 + 2
Multiply each by 7:
- 1,000 × 7 = 7,000
- 500 × 7 = 3,500
- 70 × 7 = 490
- 2 × 7 = 14
Add:
7,000 + 3,500 = 10,500
10,500 + 490 = 10,990
10,990 + 14 = 11,004
Fill boxes: 7,000 | 3,500 | 490 | 14
Answer: 11,004
---
Problem 6: 8,153 × 6
Break 8,153 into: 8,000 + 100 + 50 + 3
Multiply each by 6:
- 8,000 × 6 = 48,000
- 100 × 6 = 600
- 50 × 6 = 300
- 3 × 6 = 18
Add:
48,000 + 600 = 48,600
48,600 + 300 = 48,900
48,900 + 18 = 48,918
Fill boxes: 48,000 | 600 | 300 | 18
Answer: 48,918
---
Problem 7: 2,714 × 9
Break 2,714 into: 2,000 + 700 + 10 + 4
Multiply each by 9:
- 2,000 × 9 = 18,000
- 700 × 9 = 6,300
- 10 × 9 = 90
- 4 × 9 = 36
Add:
18,000 + 6,300 = 24,300
24,300 + 90 = 24,390
24,390 + 36 = 24,426
Fill boxes: 18,000 | 6,300 | 90 | 36
Answer: 24,426
---
Problem 8: 8,271 × 8
Break 8,271 into: 8,000 + 200 + 70 + 1
Multiply each by 8:
- 8,000 × 8 = 64,000
- 200 × 8 = 1,600
- 70 × 8 = 560
- 1 × 8 = 8
Add:
64,000 + 1,600 = 65,600
65,600 + 560 = 66,160
66,160 + 8 = 66,168
Fill boxes: 64,000 | 1,600 | 560 | 8
Answer: 66,168
---
Final Answer:
Set A1 (Multiple Choice):
1. C
2. A
3. D
4. C
Set B2 (Open-ended):
1. 25,656
2. 29,160
3. 37,548
4. 56,277
5. 11,004
6. 48,918
7. 24,426
8. 66,168
We’ll go through Set A1 (Multiple Choice) first, then Set B2 (Open-ended).
---
Set A1: Multiple Choice
Problem 1: 4,324 × 3
Break 4,324 into: 4,000 + 300 + 20 + 4
Multiply each part by 3:
- 4,000 × 3 = 12,000
- 300 × 3 = 900
- 20 × 3 = 60
- 4 × 3 = 12 ← This is missing in the table! We need to add it.
Now add them all:
12,000 + 900 = 12,900
12,900 + 60 = 12,960
12,960 + 12 = 12,972
Look at choices:
A. 12,964
B. 12,962
C. 12,972 ✔
D. 12,982
→ Answer: C
---
Problem 2: 5,423 × 2
Break 5,423 into: 5,000 + 400 + 20 + 3
Multiply each by 2:
- 5,000 × 2 = 10,000
- 400 × 2 = 800
- 20 × 2 = 40
- 3 × 2 = 6
Add them:
10,000 + 800 = 10,800
10,800 + 40 = 10,840
10,840 + 6 = 10,846
Choices:
A. 10,846 ✔
B. 10,946
C. 10,856
D. 10,956
→ Answer: A
---
Problem 3: 3,241 × 4
Break 3,241 into: 3,000 + 200 + 40 + 1
Multiply each by 4:
- 3,000 × 4 = 12,000
- 200 × 4 = 800
- 40 × 4 = 160
- 1 × 4 = 4
Add them:
12,000 + 800 = 12,800
12,800 + 160 = 12,960
12,960 + 4 = 12,964
Choices:
A. 12,764
B. 12,864
C. 12,874
D. 12,964 ✔
→ Answer: D
---
Problem 4: 2,513 × 5
Break 2,513 into: 2,000 + 500 + 10 + 3
Multiply each by 5:
- 2,000 × 5 = 10,000
- 500 × 5 = 2,500
- 10 × 5 = 50
- 3 × 5 = 15
Add them:
10,000 + 2,500 = 12,500
12,500 + 50 = 12,550
12,550 + 15 = 12,565
Choices:
A. 10,565
B. 11,565
C. 12,565 ✔
D. 12,655
→ Answer: C
---
Set B2: Open-ended (Fill in the blanks)
Problem 1: 4,276 × 6
Break 4,276 into: 4,000 + 200 + 70 + 6
Multiply each by 6:
- 4,000 × 6 = 24,000
- 200 × 6 = 1,200
- 70 × 6 = 420
- 6 × 6 = 36 ← Missing! Add this.
Total:
24,000 + 1,200 = 25,200
25,200 + 420 = 25,620
25,620 + 36 = 25,656
So fill in the last box with 36, and write answer: 25,656
---
Problem 2: 3,645 × 8
Break 3,645 into: 3,000 + 600 + 40 + 5
Multiply each by 8:
- 3,000 × 8 = 24,000
- 600 × 8 = 4,800
- 40 × 8 = 320
- 5 × 8 = 40
Add:
24,000 + 4,800 = 28,800
28,800 + 320 = 29,120
29,120 + 40 = 29,160
Fill boxes: 4,800 | 320 | 40
Answer: 29,160
---
Problem 3: 5,364 × 7
Break 5,364 into: 5,000 + 300 + 60 + 4
Multiply each by 7:
- 5,000 × 7 = 35,000
- 300 × 7 = 2,100
- 60 × 7 = 420
- 4 × 7 = 28
Add:
35,000 + 2,100 = 37,100
37,100 + 420 = 37,520
37,520 + 28 = 37,548
Fill boxes: 35,000 | 2,100 | 420 | 28
Answer: 37,548
---
Problem 4: 6,253 × 9
Break 6,253 into: 6,000 + 200 + 50 + 3
Multiply each by 9:
- 6,000 × 9 = 54,000
- 200 × 9 = 1,800
- 50 × 9 = 450
- 3 × 9 = 27
Add:
54,000 + 1,800 = 55,800
55,800 + 450 = 56,250
56,250 + 27 = 56,277
Fill boxes: 54,000 | 1,800 | 450 | 27
Answer: 56,277
---
Problem 5: 1,572 × 7
Break 1,572 into: 1,000 + 500 + 70 + 2
Multiply each by 7:
- 1,000 × 7 = 7,000
- 500 × 7 = 3,500
- 70 × 7 = 490
- 2 × 7 = 14
Add:
7,000 + 3,500 = 10,500
10,500 + 490 = 10,990
10,990 + 14 = 11,004
Fill boxes: 7,000 | 3,500 | 490 | 14
Answer: 11,004
---
Problem 6: 8,153 × 6
Break 8,153 into: 8,000 + 100 + 50 + 3
Multiply each by 6:
- 8,000 × 6 = 48,000
- 100 × 6 = 600
- 50 × 6 = 300
- 3 × 6 = 18
Add:
48,000 + 600 = 48,600
48,600 + 300 = 48,900
48,900 + 18 = 48,918
Fill boxes: 48,000 | 600 | 300 | 18
Answer: 48,918
---
Problem 7: 2,714 × 9
Break 2,714 into: 2,000 + 700 + 10 + 4
Multiply each by 9:
- 2,000 × 9 = 18,000
- 700 × 9 = 6,300
- 10 × 9 = 90
- 4 × 9 = 36
Add:
18,000 + 6,300 = 24,300
24,300 + 90 = 24,390
24,390 + 36 = 24,426
Fill boxes: 18,000 | 6,300 | 90 | 36
Answer: 24,426
---
Problem 8: 8,271 × 8
Break 8,271 into: 8,000 + 200 + 70 + 1
Multiply each by 8:
- 8,000 × 8 = 64,000
- 200 × 8 = 1,600
- 70 × 8 = 560
- 1 × 8 = 8
Add:
64,000 + 1,600 = 65,600
65,600 + 560 = 66,160
66,160 + 8 = 66,168
Fill boxes: 64,000 | 1,600 | 560 | 8
Answer: 66,168
---
Final Answer:
Set A1 (Multiple Choice):
1. C
2. A
3. D
4. C
Set B2 (Open-ended):
1. 25,656
2. 29,160
3. 37,548
4. 56,277
5. 11,004
6. 48,918
7. 24,426
8. 66,168
Parent Tip: Review the logic above to help your child master the concept of multiplicative comparisons worksheet.
