Let’s solve each multiplication problem using the area model, just like in example #1.
We break each number into tens and ones, multiply each part, then add all the partial products.
---
Problem 2: 16 × 48
Break 16 → 10 + 6
Break 48 → 40 + 8
Area model:
```
10 6
+-----+-----+
40 | 400 | 240 | = 640
+-----+-----+
8 | 80 | 48 | = 128
+-----+-----+
Total: 640 + 128 = 768
```
Check:
40×10 = 400
40×6 = 240
8×10 = 80
8×6 = 48
Sum: 400+240=640; 80+48=128; 640+128=768
✔
Answer:
768
---
Problem 3: 64 × 27
Break 64 → 60 + 4
Break 27 → 20 + 7
Area model:
```
60 4
+-----+----+
20 |1200 | 80 | = 1280
+-----+----+
7 | 420 | 28 | = 448
+-----+----+
Total: 1280 + 448 = 1728
```
Check:
20×60 = 1200
20×4 = 80
7×60 = 420
7×4 = 28
Sum: 1200+80=1280; 420+28=448; 1280+448=1728
✔
Answer:
1728
---
Problem 4: 37 × 46
Break 37 → 30 + 7
Break 46 → 40 + 6
Area model:
```
30 7
+-----+----+
40 |1200 |280 | = 1480
+-----+----+
6 | 180 | 42 | = 222
+-----+----+
Total: 1480 + 222 = 1702
```
Check:
40×30 = 1200
40×7 = 280
6×30 = 180
6×7 = 42
Sum: 1200+280=1480; 180+42=222; 1480+222=1702
✔
Answer:
1702
---
Problem 5: 82 × 16
Break 82 → 80 + 2
Break 16 → 10 + 6
Area model:
```
80 2
+-----+----+
10 | 800 | 20 | = 820
+-----+----+
6 | 480 | 12 | = 492
+-----+----+
Total: 820 + 492 = 1312
```
Check:
10×80 = 800
10×2 = 20
6×80 = 480
6×2 = 12
Sum: 800+20=820; 480+12=492; 820+492=1312
✔
Answer:
1312
---
Problem 6: 35 × 58
Break 35 → 30 + 5
Break 58 → 50 + 8
Area model:
```
30 5
+-----+----+
50 |1500 |250 | = 1750
+-----+----+
8 | 240 | 40 | = 280
+-----+----+
Total: 1750 + 280 = 2030
```
Check:
50×30 = 1500
50×5 = 250
8×30 = 240
8×5 = 40
Sum: 1500+250=1750; 240+40=280; 1750+280=2030
✔
Answer:
2030
---
Final Answer:
2) 768
3) 1728
4) 1702
5) 1312
6) 2030
Parent Tip: Review the logic above to help your child master the concept of area model multiplication sheet.
