Sure! Let’s solve each of the 12 multiplication problems step by step, using the
column multiplication method (also known as long multiplication) for 3-digit by 2-digit numbers.
---
🔢 General Method:
To multiply a 3-digit number by a 2-digit number:
1. Multiply the 3-digit number by the
ones digit of the 2-digit number.
2. Multiply the 3-digit number by the
tens digit of the 2-digit number — and
shift one place to the left (i.e., add a zero at the end or mentally shift).
3. Add the two partial products together.
---
Let’s solve each problem:
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1) 484 × 28
```
484
× 28
------
3872 ← 484 × 8
+9680 ← 484 × 20 (shifted left)
------
13552
```
✔ Answer: 13,552
---
2) 557 × 47
```
557
× 47
------
3899 ← 557 × 7
+22280 ← 557 × 40
------
26179
```
✔ Answer: 26,179
---
3) 428 × 28
```
428
× 28
------
3424 ← 428 × 8
+8560 ← 428 × 20
------
11984
```
✔ Answer: 11,984
---
4) 935 × 48
```
935
× 48
------
7480 ← 935 × 8
+37400 ← 935 × 40
------
44880
```
✔ Answer: 44,880
---
5) 818 × 54
```
818
× 54
------
3272 ← 818 × 4
+40900 ← 818 × 50
------
44172
```
✔ Answer: 44,172
---
6) 685 × 49
```
685
× 49
------
6165 ← 685 × 9
+27400 ← 685 × 40
------
33565
```
✔ Answer: 33,565
---
7) 515 × 27
```
515
× 27
------
3605 ← 515 × 7
+10300 ← 515 × 20
------
13905
```
✔ Answer: 13,905
---
8) 246 × 28
```
246
× 28
------
1968 ← 246 × 8
+4920 ← 246 × 20
------
6888
```
✔ Answer: 6,888
---
9) 375 × 17
```
375
× 17
------
2625 ← 375 × 7
+3750 ← 375 × 10
------
6375
```
✔ Answer: 6,375
---
10) 675 × 31
```
675
× 31
------
675 ← 675 × 1
+20250 ← 675 × 30
------
20925
```
✔ Answer: 20,925
---
11) 817 × 33
```
817
× 33
------
2451 ← 817 × 3
+24510 ← 817 × 30
------
26961
```
✔ Answer: 26,961
---
12) 787 × 58
```
787
× 58
------
6296 ← 787 × 8
+39350 ← 787 × 50
------
45646
```
✔ Answer: 45,646
---
##
✔ Final Answers:
1)
13,552
2)
26,179
3)
11,984
4)
44,880
5)
44,172
6)
33,565
7)
13,905
8)
6,888
9)
6,375
10)
20,925
11)
26,961
12)
45,646
---
Let me know if you’d like to see any of these worked out with visual column alignment or step-by-step carryovers! 😊
Parent Tip: Review the logic above to help your child master the concept of grade 5 multiplication worksheet.