Here's the solution to all 10 multiplication problems from your worksheet “3-Digit by 3-Digit Multiplication (A)”. I’ll show each calculation step-by-step using standard long multiplication, then give the final answer.
---
1. 505 × 117
```
505
× 117
-----
3535 ← 505 × 7
5050 ← 505 × 10 (shifted left one place)
50500 ← 505 × 100 (shifted left two places)
-------
59085
```
✔ Answer: 59,085
---
2. 651 × 954
```
651
× 954
-----
2604 ← 651 × 4
32550 ← 651 × 50
585900 ← 651 × 900
-------
621054
```
✔ Answer: 621,054
---
3. 529 × 784
```
529
× 784
-----
2116 ← 529 × 4
42320 ← 529 × 80
370300 ← 529 × 700
-------
414736
```
✔ Answer: 414,736
---
4. 208 × 724
```
208
× 724
-----
832 ← 208 × 4
4160 ← 208 × 20
145600 ← 208 × 700
-------
150672
```
✔ Answer: 150,672
---
5. 948 × 184
```
948
× 184
-----
3792 ← 948 × 4
75840 ← 948 × 80
94800 ← 948 × 100
-------
174432
```
✔ Answer: 174,432
---
6. 615 × 351
```
615
× 351
-----
615 ← 615 × 1
30750 ← 615 × 50
184500 ← 615 × 300
-------
215865
```
✔ Answer: 215,865
---
7. 881 × 599
We can also use a trick: 599 = 600 - 1 → 881×600 - 881×1
881 × 600 = 528,600
528,600 - 881 =
527,719
Or by long multiplication:
```
881
× 599
-----
7929 ← 881 × 9
79290 ← 881 × 90
440500 ← 881 × 500
-------
527719
```
✔ Answer: 527,719
---
8. 420 × 702
Note: 420 × 702 = 420 × (700 + 2) = 420×700 + 420×2 = 294,000 + 840 =
294,840
Long multiplication:
```
420
× 702
-----
840 ← 420 × 2
0 ← 420 × 0 (tens place — skip or write 0)
294000 ← 420 × 700
-------
294840
```
✔ Answer: 294,840
---
9. 430 × 931
```
430
× 931
-----
430 ← 430 × 1
12900 ← 430 × 30
387000 ← 430 × 900
-------
400330
```
✔ Answer: 400,330
---
10. 634 × 462
```
634
× 462
-----
1268 ← 634 × 2
38040 ← 634 × 60
253600 ← 634 × 400
-------
292908
```
✔ Answer: 292,908
---
##
✔ Final Answers (for easy copying):
1. 505 × 117 =
59,085
2. 651 × 954 =
621,054
3. 529 × 784 =
414,736
4. 208 × 724 =
150,672
5. 948 × 184 =
174,432
6. 615 × 351 =
215,865
7. 881 × 599 =
527,719
8. 420 × 702 =
294,840
9. 430 × 931 =
400,330
10. 634 × 462 =
292,908
---
Let me know if you’d like to see any of these worked out with more detailed steps or visual diagrams!
Parent Tip: Review the logic above to help your child master the concept of 3 x 3 multiplication worksheet.
