Practice long multiplication with this engaging math worksheet designed for fluency and skill development.

Let’s solve each long multiplication problem step by step. We’ll use the formal method: multiply the top number by each digit of the bottom number (starting from the right), write down the partial products, and then add them up.

---

Problem 1: 312 × 24

Step 1: Multiply 312 by 4 →
312 × 4 = 1248 ✔ (already given)

Step 2: Multiply 312 by 20 (which is 2 in tens place) →
312 × 2 = 624 → but since it’s 20, we write 6240 (add a zero at the end)

Step 3: Add 1248 + 6240 =
 1248
+6240
= 7488

Wait — the image shows 6240 as the second line and total 6240? That can’t be right. Let me check again.

Actually, looking at the image for Problem 1:

It says:
```
3 1 2
x 2 4
-------
1 2 4 8 ← this is 312 × 4
6 2 4 0 ← this is 312 × 20 (so 312×2=624, shifted left → 6240)
-------
6 2 4 0 ← Wait, that’s wrong! It should be 1248 + 6240 = 7488
```

But the image has “6240” as the final answer? That must be a typo or misprint in the worksheet. Because 312 × 24 is definitely not 6240.

Let me calculate 312 × 24 properly:

312 × 20 = 6240
312 × 4 = 1248
Total = 6240 + 1248 = 7488

So the worksheet has an error in Problem 1’s final sum. But since we’re solving correctly, we’ll go with 7488.

BUT — wait! Looking again at the image: under Problem 1, it already filled in:

First line: 1248
Second line: 6240
Then below that, it says “6240” — which is probably meant to be the *sum*, but that’s incorrect.

Actually, maybe the student is supposed to fill in the blank? The instruction says “solve these calculations”, and some are partially filled.

Looking carefully: In Problem 1, the last line is written as “6 2 4 0” — but that’s actually the second partial product, not the sum. There’s no sum shown. So perhaps the student is to complete the addition?

In standard long multiplication layout:

You write:

```
312
x 24
-----
1248 ← 312 × 4
6240 ← 312 × 20 (shifted left)
-----
7488 ← sum
```

So for Problem 1, the final answer should be 7488.

But let’s proceed one by one and do all problems correctly.

---

Problem 2: 473 × 15

Step 1: 473 × 5 = ?

473 × 5:
3×5=15 → write 5, carry 1
7×5=35 +1=36 → write 6, carry 3
4×5=20 +3=23 → write 23
→ 2365

Step 2: 473 × 10 = 4730 (since 1 is in tens place)

Step 3: Add 2365 + 4730 =
 2365
+4730
= 7095

Check: 473 × 15 = 473 × (10 + 5) = 4730 + 2365 = 7095 ✔

---

Problem 3: 294 × 36

Step 1: 294 × 6 = ?

4×6=24 → write 4, carry 2
9×6=54 +2=56 → write 6, carry 5
2×6=12 +5=17 → write 17
→ 1764

Step 2: 294 × 30 = 294 × 3 × 10 = 882 × 10 = 8820

(294 × 3: 4×3=12 → 2, carry 1; 9×3=27+1=28 → 8, carry 2; 2×3=6+2=8 → 882)

Step 3: Add 1764 + 8820 =
 1764
+8820
= 10584

Check: 294 × 36 = 294 × (30 + 6) = 8820 + 1764 = 10584 ✔

---

Problem 4: 957 × 28

Step 1: 957 × 8 = ?

7×8=56 → write 6, carry 5
5×8=40 +5=45 → write 5, carry 4
9×8=72 +4=76 → write 76
→ 7656

Step 2: 957 × 20 = 957 × 2 × 10 = 1914 × 10 = 19140

(957 × 2: 7×2=14 → 4, carry 1; 5×2=10+1=11 → 1, carry 1; 9×2=18+1=19 → 1914)

Step 3: Add 7656 + 19140 =
  7656
+19140
= 26796

Check: 957 × 28 = 957 × (20 + 8) = 19140 + 7656 = 26796 ✔

---

Problem 5: 1362 × 32

Step 1: 1362 × 2 = 2724

Step 2: 1362 × 30 = 1362 × 3 × 10 = 4086 × 10 = 40860

(1362 × 3: 2×3=6; 6×3=18 → 8, carry 1; 3×3=9+1=10 → 0, carry 1; 1×3=3+1=4 → 4086)

Step 3: Add 2724 + 40860 =
  2724
+40860
= 43584

Check: 1362 × 32 = 1362 × (30 + 2) = 40860 + 2724 = 43584 ✔

---

Problem 6: 1735 × 41

Step 1: 1735 × 1 = 1735

Step 2: 1735 × 40 = 1735 × 4 × 10 = 6940 × 10 = 69400

(1735 × 4: 5×4=20 → 0, carry 2; 3×4=12+2=14 → 4, carry 1; 7×4=28+1=29 → 9, carry 2; 1×4=4+2=6 → 6940)

Step 3: Add 1735 + 69400 =
  1735
+69400
= 71135

Check: 1735 × 41 = 1735 × (40 + 1) = 69400 + 1735 = 71135 ✔

---

Problem 7: 1057 × 57

Step 1: 1057 × 7 = ?

7×7=49 → write 9, carry 4
5×7=35 +4=39 → write 9, carry 3
0×7=0 +3=3 → write 3
1×7=7 → write 7
→ 7399

Step 2: 1057 × 50 = 1057 × 5 × 10 = 5285 × 10 = 52850

(1057 × 5: 7×5=35 → 5, carry 3; 5×5=25+3=28 → 8, carry 2; 0×5=0+2=2; 1×5=5 → 5285)

Step 3: Add 7399 + 52850 =
  7399
+52850
= 60249

Check: 1057 × 57 = 1057 × (50 + 7) = 52850 + 7399 = 60249 ✔

---

Problem 8: 3166 × 29

Step 1: 3166 × 9 = ?

6×9=54 → write 4, carry 5
6×9=54 +5=59 → write 9, carry 5
1×9=9 +5=14 → write 4, carry 1
3×9=27 +1=28 → write 28
→ 28494

Step 2: 3166 × 20 = 3166 × 2 × 10 = 6332 × 10 = 63320

(3166 × 2: 6×2=12 → 2, carry 1; 6×2=12+1=13 → 3, carry 1; 1×2=2+1=3; 3×2=6 → 6332)

Step 3: Add 28494 + 63320 =
 28494
+63320
= 91814

Check: 3166 × 29 = 3166 × (20 + 9) = 63320 + 28494 = 91814 ✔

---

Problem 9: 2003 × 49

Step 1: 2003 × 9 = ?

3×9=27 → write 7, carry 2
0×9=0 +2=2 → write 2
0×9=0 → write 0
2×9=18 → write 18
→ 18027

Step 2: 2003 × 40 = 2003 × 4 × 10 = 8012 × 10 = 80120

(2003 × 4: 3×4=12 → 2, carry 1; 0×4=0+1=1; 0×4=0; 2×4=8 → 8012)

Step 3: Add 18027 + 80120 =
 18027
+80120
= 98147

Check: 2003 × 49 = 2003 × (40 + 9) = 80120 + 18027 = 98147 ✔

---

Now, compiling all answers:

1. 312 × 24 = 7488
2. 473 × 15 = 7095
3. 294 × 36 = 10584
4. 957 × 28 = 26796
5. 1362 × 32 = 43584
6. 1735 × 41 = 71135
7. 1057 × 57 = 60249
8. 3166 × 29 = 91814
9. 2003 × 49 = 98147

Note: For Problem 1, the worksheet incorrectly shows 6240 as the final answer — that’s just the second partial product. The correct sum is 7488.

Final Answer:
1. 7488
2. 7095
3. 10584
4. 26796
5. 43584
6. 71135
7. 60249
8. 91814
9. 98147