Let’s solve each multiplication problem one by one. We’ll multiply the top number by each digit of the bottom number, starting from the right, and then add the results — remembering to shift left (add zeros) for tens and hundreds places.
---
Problem 1: 374 × 233
Break it down:
- 374 × 3 = 1,122
- 374 × 30 = 11,220 → write as 11220
- 374 × 200 = 74,800 → write as 74800
Now add:
```
1122
11220
+ 74800
-------
87142
```
✔ 374 × 233 =
87,142
---
Problem 2: 458 × 671
Break it down:
- 458 × 1 = 458
- 458 × 70 = 32,060
- 458 × 600 = 274,800
Add:
```
458
32060
+274800
-------
307298
```
✔ 458 × 671 =
307,298
---
Problem 3: 297 × 308
Note: 308 = 300 + 8 → easier to do 297 × 300 and 297 × 8
- 297 × 8 = 2,376
- 297 × 300 = 89,100
Add:
```
2376
+89100
------
91476
```
✔ 297 × 308 =
91,476
---
Problem 4: 678 × 456
Break it down:
- 678 × 6 = 4,068
- 678 × 50 = 33,900
- 678 × 400 = 271,200
Add:
```
4068
33900
+271200
-------
309168
```
✔ 678 × 456 =
309,168
---
Problem 5: 907 × 308
Break it down:
- 907 × 8 = 7,256
- 907 × 300 = 272,100
Add:
```
7256
+272100
-------
279356
```
✔ 907 × 308 =
279,356
---
Problem 6: 779 × 197
Break it down:
- 779 × 7 = 5,453
- 779 × 90 = 70,110
- 779 × 100 = 77,900
Add:
```
5453
70110
+ 77900
-------
153463
```
✔ 779 × 197 =
153,463
---
Problem 7: 872 × 385
Break it down:
- 872 × 5 = 4,360
- 872 × 80 = 69,760
- 872 × 300 = 261,600
Add:
```
4360
69760
+261600
-------
335720
```
✔ 872 × 385 =
335,720
---
Problem 8: 429 × 378
Break it down:
- 429 × 8 = 3,432
- 429 × 70 = 30,030
- 429 × 300 = 128,700
Add:
```
3432
30030
+128700
-------
162162
```
✔ 429 × 378 =
162,162
---
Problem 9: 268 × 489
Break it down:
- 268 × 9 = 2,412
- 268 × 80 = 21,440
- 268 × 400 = 107,200
Add:
```
2412
21440
+107200
-------
131052
```
✔ 268 × 489 =
131,052
---
Problem 10: 508 × 809
Break it down:
- 508 × 9 = 4,572
- 508 × 800 = 406,400
Add:
```
4572
+406400
-------
410972
```
✔ 508 × 809 =
410,972
---
Problem 11: 672 × 858
Break it down:
- 672 × 8 = 5,376
- 672 × 50 = 33,600
- 672 × 800 = 537,600
Add:
```
5376
33600
+537600
-------
576576
```
✔ 672 × 858 =
576,576
---
Problem 12: 358 × 297
Break it down:
- 358 × 7 = 2,506
- 358 × 90 = 32,220
- 358 × 200 = 71,600
Add:
```
2506
32220
+ 71600
-------
106326
```
✔ 358 × 297 =
106,326
---
Final Answer:
1. 87,142
2. 307,298
3. 91,476
4. 309,168
5. 279,356
6. 153,463
7. 335,720
8. 162,162
9. 131,052
10. 410,972
11. 576,576
12. 106,326
Parent Tip: Review the logic above to help your child master the concept of 7th grade math worksheet multiplication.