Open-ended math worksheets for 3-digit by 2-digit multiplication using the area model.
Two open-ended math worksheets for 3-digit by 2-digit multiplication using the area model, labeled Set B2 and Set B3, with problems and partially filled grids for solving.
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Show Answer Key & Explanations
Step-by-step solution for: 3 Digit by 2 Digit Area Model Multiplication Worksheets - ExperTuition
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Show Answer Key & Explanations
Step-by-step solution for: 3 Digit by 2 Digit Area Model Multiplication Worksheets - ExperTuition
Let’s solve each multiplication problem using the area model step by step. We’ll break down the numbers, multiply parts, and add them up.
---
Problem 1: 347 × 56
Break 347 into: 300 + 40 + 7
Break 56 into: 50 + 6
Now make a grid:
| 300 | 40 | 7
--------|-------|-------|----
50 | 15,000| 2,000 | 350
6 | 1,800 | 240 | 42
Add all the boxes:
15,000 + 2,000 = 17,000
17,000 + 350 = 17,350
17,350 + 1,800 = 19,150
19,150 + 240 = 19,390
19,390 + 42 = 19,432
✔ Final Answer for #1: 19,432
---
Problem 2: 514 × 72
Break 514 into: 500 + 10 + 4
Break 72 into: 70 + 2
Grid:
| 500 | 10 | 4
--------|-------|-------|----
70 | 35,000| 700 | 280
2 | 1,000 | 20 | 8
Add:
35,000 + 700 = 35,700
35,700 + 280 = 35,980
35,980 + 1,000 = 36,980
36,980 + 20 = 37,000
37,000 + 8 = 37,008
✔ Final Answer for #2: 37,008
---
Problem 3: 835 × 24
Break 835 into: 800 + 30 + 5
Break 24 into: 20 + 4
Grid:
| 800 | 30 | 5
--------|-------|-------|----
20 | 16,000| 600 | 100
4 | 3,200 | 120 | 20
Add:
16,000 + 600 = 16,600
16,600 + 100 = 16,700
16,700 + 3,200 = 19,900
19,900 + 120 = 20,020
20,020 + 20 = 20,040
✔ Final Answer for #3: 20,040
---
Problem 4: 168 × 18
Break 168 into: 100 + 60 + 8
Break 18 into: 10 + 8
Grid:
| 100 | 60 | 8
--------|-------|-------|----
10 | 1,000 | 600 | 80
8 | 800 | 480 | 64
Add:
1,000 + 600 = 1,600
1,600 + 80 = 1,680
1,680 + 800 = 2,480
2,480 + 480 = 2,960
2,960 + 64 = 3,024
✔ Final Answer for #4: 3,024
---
Now let’s do Set B2 problems.
---
Problem 1 (Set B2): 485 × 69
Given breakdown: 400 + 80 + 5 and 60 + 9
Grid already partially filled:
| 400 | 80 | 5
--------|-------|-------|----
60 | 24,000| 4,800 | 300
9 | 3,600 | ? | ?
Fill in missing:
9 × 80 = 720
9 × 5 = 45
Now add all:
24,000 + 4,800 = 28,800
28,800 + 300 = 29,100
29,100 + 3,600 = 32,700
32,700 + 720 = 33,420
33,420 + 45 = 33,465
✔ Final Answer for #1 (B2): 33,465
---
Problem 2 (Set B2): 246 × 87
Given: 200 + 40 + 6 and 80 + 7
Grid:
| 200 | 40 | 6
--------|-------|-------|----
80 | 16,000| 3,200 | 480
7 | 1,400 | 280 | 42
Add:
16,000 + 3,200 = 19,200
19,200 + 480 = 19,680
19,680 + 1,400 = 21,080
21,080 + 280 = 21,360
21,360 + 42 = 21,402
✔ Final Answer for #2 (B2): 21,402
---
Problem 3 (Set B2): 634 × 78
Break 634 into: 600 + 30 + 4
Break 78 into: 70 + 8
Grid:
| 600 | 30 | 4
--------|-------|-------|----
70 | 42,000| 2,100 | 280
8 | 4,800 | 240 | 32
Add:
42,000 + 2,100 = 44,100
44,100 + 280 = 44,380
44,380 + 4,800 = 49,180
49,180 + 240 = 49,420
49,420 + 32 = 49,452
✔ Final Answer for #3 (B2): 49,452
---
Problem 4 (Set B2): 352 × 96
Break 352 into: 300 + 50 + 2
Break 96 into: 90 + 6
Grid:
| 300 | 50 | 2
--------|-------|-------|----
90 | 27,000| 4,500 | 180
6 | 1,800 | 300 | 12
Add:
27,000 + 4,500 = 31,500
31,500 + 180 = 31,680
31,680 + 1,800 = 33,480
33,480 + 300 = 33,780
33,780 + 12 = 33,792
✔ Final Answer for #4 (B2): 33,792
---
Problem 5 (Set B2): 164 × 86
Break 164 into: 100 + 60 + 4
Break 86 into: 80 + 6
Grid:
| 100 | 60 | 4
--------|-------|-------|----
80 | 8,000 | 4,800 | 320
6 | 600 | 360 | 24
Add:
8,000 + 4,800 = 12,800
12,800 + 320 = 13,120
13,120 + 600 = 13,720
13,720 + 360 = 14,080
14,080 + 24 = 14,104
✔ Final Answer for #5 (B2): 14,104
---
Problem 6 (Set B2): 718 × 79
Break 718 into: 700 + 10 + 8
Break 79 into: 70 + 9
Grid:
| 700 | 10 | 8
--------|-------|-------|----
70 | 49,000| 700 | 560
9 | 6,300 | 90 | 72
Add:
49,000 + 700 = 49,700
49,700 + 560 = 50,260
50,260 + 6,300 = 56,560
56,560 + 90 = 56,650
56,650 + 72 = 56,722
✔ Final Answer for #6 (B2): 56,722
---
Problem 7 (Set B2): 573 × 98
Break 573 into: 500 + 70 + 3
Break 98 into: 90 + 8
Grid:
| 500 | 70 | 3
--------|-------|-------|----
90 | 45,000| 6,300 | 270
8 | 4,000 | 560 | 24
Add:
45,000 + 6,300 = 51,300
51,300 + 270 = 51,570
51,570 + 4,000 = 55,570
55,570 + 560 = 56,130
56,130 + 24 = 56,154
✔ Final Answer for #7 (B2): 56,154
---
Problem 8 (Set B2): 827 × 67
Break 827 into: 800 + 20 + 7
Break 67 into: 60 + 7
Grid:
| 800 | 20 | 7
--------|-------|-------|----
60 | 48,000| 1,200 | 420
7 | 5,600 | 140 | 49
Add:
48,000 + 1,200 = 49,200
49,200 + 420 = 49,620
49,620 + 5,600 = 55,220
55,220 + 140 = 55,360
55,360 + 49 = 55,409
✔ Final Answer for #8 (B2): 55,409
---
Final Answer:
1. 19,432
2. 37,008
3. 20,040
4. 3,024
5. 33,465
6. 21,402
7. 49,452
8. 33,792
9. 14,104
10. 56,722
11. 56,154
12. 55,409
---
Problem 1: 347 × 56
Break 347 into: 300 + 40 + 7
Break 56 into: 50 + 6
Now make a grid:
| 300 | 40 | 7
--------|-------|-------|----
50 | 15,000| 2,000 | 350
6 | 1,800 | 240 | 42
Add all the boxes:
15,000 + 2,000 = 17,000
17,000 + 350 = 17,350
17,350 + 1,800 = 19,150
19,150 + 240 = 19,390
19,390 + 42 = 19,432
✔ Final Answer for #1: 19,432
---
Problem 2: 514 × 72
Break 514 into: 500 + 10 + 4
Break 72 into: 70 + 2
Grid:
| 500 | 10 | 4
--------|-------|-------|----
70 | 35,000| 700 | 280
2 | 1,000 | 20 | 8
Add:
35,000 + 700 = 35,700
35,700 + 280 = 35,980
35,980 + 1,000 = 36,980
36,980 + 20 = 37,000
37,000 + 8 = 37,008
✔ Final Answer for #2: 37,008
---
Problem 3: 835 × 24
Break 835 into: 800 + 30 + 5
Break 24 into: 20 + 4
Grid:
| 800 | 30 | 5
--------|-------|-------|----
20 | 16,000| 600 | 100
4 | 3,200 | 120 | 20
Add:
16,000 + 600 = 16,600
16,600 + 100 = 16,700
16,700 + 3,200 = 19,900
19,900 + 120 = 20,020
20,020 + 20 = 20,040
✔ Final Answer for #3: 20,040
---
Problem 4: 168 × 18
Break 168 into: 100 + 60 + 8
Break 18 into: 10 + 8
Grid:
| 100 | 60 | 8
--------|-------|-------|----
10 | 1,000 | 600 | 80
8 | 800 | 480 | 64
Add:
1,000 + 600 = 1,600
1,600 + 80 = 1,680
1,680 + 800 = 2,480
2,480 + 480 = 2,960
2,960 + 64 = 3,024
✔ Final Answer for #4: 3,024
---
Now let’s do Set B2 problems.
---
Problem 1 (Set B2): 485 × 69
Given breakdown: 400 + 80 + 5 and 60 + 9
Grid already partially filled:
| 400 | 80 | 5
--------|-------|-------|----
60 | 24,000| 4,800 | 300
9 | 3,600 | ? | ?
Fill in missing:
9 × 80 = 720
9 × 5 = 45
Now add all:
24,000 + 4,800 = 28,800
28,800 + 300 = 29,100
29,100 + 3,600 = 32,700
32,700 + 720 = 33,420
33,420 + 45 = 33,465
✔ Final Answer for #1 (B2): 33,465
---
Problem 2 (Set B2): 246 × 87
Given: 200 + 40 + 6 and 80 + 7
Grid:
| 200 | 40 | 6
--------|-------|-------|----
80 | 16,000| 3,200 | 480
7 | 1,400 | 280 | 42
Add:
16,000 + 3,200 = 19,200
19,200 + 480 = 19,680
19,680 + 1,400 = 21,080
21,080 + 280 = 21,360
21,360 + 42 = 21,402
✔ Final Answer for #2 (B2): 21,402
---
Problem 3 (Set B2): 634 × 78
Break 634 into: 600 + 30 + 4
Break 78 into: 70 + 8
Grid:
| 600 | 30 | 4
--------|-------|-------|----
70 | 42,000| 2,100 | 280
8 | 4,800 | 240 | 32
Add:
42,000 + 2,100 = 44,100
44,100 + 280 = 44,380
44,380 + 4,800 = 49,180
49,180 + 240 = 49,420
49,420 + 32 = 49,452
✔ Final Answer for #3 (B2): 49,452
---
Problem 4 (Set B2): 352 × 96
Break 352 into: 300 + 50 + 2
Break 96 into: 90 + 6
Grid:
| 300 | 50 | 2
--------|-------|-------|----
90 | 27,000| 4,500 | 180
6 | 1,800 | 300 | 12
Add:
27,000 + 4,500 = 31,500
31,500 + 180 = 31,680
31,680 + 1,800 = 33,480
33,480 + 300 = 33,780
33,780 + 12 = 33,792
✔ Final Answer for #4 (B2): 33,792
---
Problem 5 (Set B2): 164 × 86
Break 164 into: 100 + 60 + 4
Break 86 into: 80 + 6
Grid:
| 100 | 60 | 4
--------|-------|-------|----
80 | 8,000 | 4,800 | 320
6 | 600 | 360 | 24
Add:
8,000 + 4,800 = 12,800
12,800 + 320 = 13,120
13,120 + 600 = 13,720
13,720 + 360 = 14,080
14,080 + 24 = 14,104
✔ Final Answer for #5 (B2): 14,104
---
Problem 6 (Set B2): 718 × 79
Break 718 into: 700 + 10 + 8
Break 79 into: 70 + 9
Grid:
| 700 | 10 | 8
--------|-------|-------|----
70 | 49,000| 700 | 560
9 | 6,300 | 90 | 72
Add:
49,000 + 700 = 49,700
49,700 + 560 = 50,260
50,260 + 6,300 = 56,560
56,560 + 90 = 56,650
56,650 + 72 = 56,722
✔ Final Answer for #6 (B2): 56,722
---
Problem 7 (Set B2): 573 × 98
Break 573 into: 500 + 70 + 3
Break 98 into: 90 + 8
Grid:
| 500 | 70 | 3
--------|-------|-------|----
90 | 45,000| 6,300 | 270
8 | 4,000 | 560 | 24
Add:
45,000 + 6,300 = 51,300
51,300 + 270 = 51,570
51,570 + 4,000 = 55,570
55,570 + 560 = 56,130
56,130 + 24 = 56,154
✔ Final Answer for #7 (B2): 56,154
---
Problem 8 (Set B2): 827 × 67
Break 827 into: 800 + 20 + 7
Break 67 into: 60 + 7
Grid:
| 800 | 20 | 7
--------|-------|-------|----
60 | 48,000| 1,200 | 420
7 | 5,600 | 140 | 49
Add:
48,000 + 1,200 = 49,200
49,200 + 420 = 49,620
49,620 + 5,600 = 55,220
55,220 + 140 = 55,360
55,360 + 49 = 55,409
✔ Final Answer for #8 (B2): 55,409
---
Final Answer:
1. 19,432
2. 37,008
3. 20,040
4. 3,024
5. 33,465
6. 21,402
7. 49,452
8. 33,792
9. 14,104
10. 56,722
11. 56,154
12. 55,409
Parent Tip: Review the logic above to help your child master the concept of area model multiplication worksheet.
