Christmas Math 5th Grade Worksheets - Free Printable

Let's solve each multiplication problem on this 5th-grade math worksheet step by step. Since it’s a long list, I’ll go through each one carefully and show the solution.

---

1. 1235 × 1432

We use standard multiplication:

```
1235
×1432
------
2470 ← 1235 × 2
3705 ← 1235 × 3 (shifted left)
4940 ← 1235 × 4 (shifted two places left)
1235 ← 1235 × 1 (shifted three places left)
--------
1764820
```

✔ Answer: 1,764,820

---

2. 2123 × 1241

```
2123
×1241
------
2123 ← 2123 × 1
8492 ← 2123 × 4 (shifted)
4246 ← 2123 × 2 (shifted)
2123 ← 2123 × 1 (shifted)
-------
2,634,843
```

✔ Answer: 2,634,843

---

3. 1604 × 2350

Note: 2350 ends in zero → we can simplify:
→ 1604 × 2350 = 1604 × 235 × 10

First do 1604 × 235:

```
1604
× 235
------
8020 ← 1604 × 5
4812 ← 1604 × 3 (shifted)
3208 ← 1604 × 2 (shifted)
------
376820
```

Now ×10 → 3,768,200

✔ Answer: 3,768,200

---

4. 1704 × 1098

```
1704
×1098
------
1704 ← 1704 × 8
15336 ← 1704 × 9 (shifted)
1704 ← 1704 × 0 (shifted)
1704 ← 1704 × 1 (shifted)
-------
1,871,192
```

Wait — let's compute properly:

Actually:

```
1704
×1098
------
1704 ← ×8
15336 ← ×9 (shifted)
0 ← ×0 (no value)
1704 ← ×1 (shifted 3 places)
-------
Add:
1704
+15336 → 17040
+0 → no change
+1704000 → total = 1,704 + 15,336 = 17,040 → +1,704,000 = 1,721,040?
```

Wait — better to write aligned:

```
1704
×1098
------
13632 ← 1704 × 8
15336 ← 1704 × 9 (shifted)
0 ← 1704 × 0 (shifted)
1704 ← 1704 × 1 (shifted 3 places)
-------
1,871,192
```

Let me calculate:

- 1704 × 8 = 13,632
- 1704 × 90 = 153,360
- 1704 × 000 = 0
- 1704 × 1000 = 1,704,000

Add them:

13,632
+153,360 = 166,992
+1,704,000 = 1,870,992

Wait — there's a discrepancy. Let's do it correctly:

Actually:

```
1704 × 1098 = 1704 × (1000 + 90 + 8) = 1704×1000 + 1704×90 + 1704×8
= 1,704,000 + 153,360 + 13,632 = ?
```

1,704,000
+153,360 = 1,857,360
+13,632 = 1,870,992

✔ Answer: 1,870,992

---

5. 2091 × 1533

Use distributive property:

2091 × 1533 = 2091 × (1500 + 30 + 3)

= 2091×1500 = 3,136,500
+ 2091×30 = 62,730
+ 2091×3 = 6,273

Total:
3,136,500
+62,730 = 3,199,230
+6,273 = 3,205,503

✔ Answer: 3,205,503

---

6. 1034 × 1390

Note: 1390 = 139 × 10 → so multiply 1034 × 139 then ×10

1034 × 139:

```
1034
× 139
------
9306 ← 1034 × 9
3102 ← 1034 × 3 (shifted)
1034 ← 1034 × 1 (shifted)
------
143,826
```

Then ×10 → 1,438,260

✔ Answer: 1,438,260

---

7. 1195 × 1585

Break down:

1195 × 1585

Use calculator-style or break into parts:

1195 × 1585 = ?

Let’s do:

1195 × (1000 + 500 + 80 + 5)

= 1195×1000 = 1,195,000
+ 1195×500 = 597,500
+ 1195×80 = 95,600
+ 1195×5 = 5,975

Now add:

1,195,000
+597,500 = 1,792,500
+95,600 = 1,888,100
+5,975 = 1,894,075

✔ Answer: 1,894,075

---

8. 3129 × 1690

1690 = 169 × 10 → compute 3129 × 169 then ×10

3129 × 169:

Break 169 = 100 + 60 + 9

3129 × 100 = 312,900
3129 × 60 = 187,740
3129 × 9 = 28,161

Add:

312,900
+187,740 = 499,640
+28,161 = 527,801

Then ×10 → 5,278,010

✔ Answer: 5,278,010

---

9. 1430 × 2316

Note: 1430 = 143 × 10 → so 143 × 2316 × 10

First compute 143 × 2316

Break 143 = 100 + 40 + 3

100 × 2316 = 231,600
40 × 2316 = 92,640
3 × 2316 = 6,948

Add:
231,600 + 92,640 = 324,240
+6,948 = 331,188

Then ×10 → 3,311,880

✔ Answer: 3,311,880

---

10. 5614 × 2060

2060 = 206 × 10 → compute 5614 × 206 then ×10

5614 × 206 = ?

Break 206 = 200 + 6

5614 × 200 = 1,122,800
5614 × 6 = 33,684

Sum: 1,122,800 + 33,684 = 1,156,484

Then ×10 → 11,564,840

✔ Answer: 11,564,840

---

11. 1430 × 2451

Again, 1430 = 143 × 10

So: 143 × 2451 × 10

Compute 143 × 2451

Break 143 = 100 + 40 + 3

100 × 2451 = 245,100
40 × 2451 = 98,040
3 × 2451 = 7,353

Add:

245,100 + 98,040 = 343,140
+7,353 = 350,493

×10 → 3,504,930

✔ Answer: 3,504,930

---

12. 4643 × 2358

This is large — let's compute directly:

4643 × 2358

Break into:

4643 × (2000 + 300 + 50 + 8)

= 4643×2000 = 9,286,000
+ 4643×300 = 1,392,900
+ 4643×50 = 232,150
+ 4643×8 = 37,144

Now sum:

9,286,000
+1,392,900 = 10,678,900
+232,150 = 10,911,050
+37,144 = 10,948,194

✔ Answer: 10,948,194

---

13. 2802 × 1917

Break 1917 = 1000 + 900 + 10 + 7

2802 × 1000 = 2,802,000
2802 × 900 = 2,521,800
2802 × 10 = 28,020
2802 × 7 = 19,614

Add:

2,802,000
+2,521,800 = 5,323,800
+28,020 = 5,351,820
+19,614 = 5,371,434

✔ Answer: 5,371,434

---

14. 2675 × 1032

Break 1032 = 1000 + 30 + 2

2675 × 1000 = 2,675,000
2675 × 30 = 80,250
2675 × 2 = 5,350

Add:

2,675,000 + 80,250 = 2,755,250
+5,350 = 2,760,600

✔ Answer: 2,760,600

---

15. 2541 × 1434

Break 1434 = 1000 + 400 + 30 + 4

2541 × 1000 = 2,541,000
2541 × 400 = 1,016,400
2541 × 30 = 76,230
2541 × 4 = 10,164

Add:

2,541,000
+1,016,400 = 3,557,400
+76,230 = 3,633,630
+10,164 = 3,643,794

✔ Answer: 3,643,794

---

16. 2619 × 1210

1210 = 121 × 10 → compute 2619 × 121 × 10

2619 × 121

Break 121 = 100 + 20 + 1

2619 × 100 = 261,900
2619 × 20 = 52,380
2619 × 1 = 2,619

Add:
261,900 + 52,380 = 314,280
+2,619 = 316,899

×10 → 3,168,990

✔ Answer: 3,168,990

---

## ✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1. 1235 × 1432 | 1,764,820 |
| 2. 2123 × 1241 | 2,634,843 |
| 3. 1604 × 2350 | 3,768,200 |
| 4. 1704 × 1098 | 1,870,992 |
| 5. 2091 × 1533 | 3,205,503 |
| 6. 1034 × 1390 | 1,438,260 |
| 7. 1195 × 1585 | 1,894,075 |
| 8. 3129 × 1690 | 5,278,010 |
| 9. 1430 × 2316 | 3,311,880 |
|10. 5614 × 2060 | 11,564,840 |
|11. 1430 × 2451 | 3,504,930 |
|12. 4643 × 2358 | 10,948,194 |
|13. 2802 × 1917 | 5,371,434 |
|14. 2675 × 1032 | 2,760,600 |
|15. 2541 × 1434 | 3,643,794 |
|16. 2619 × 1210 | 3,168,990 |

---

🔍 Explanation of Strategy:

- For large multiplications, break numbers into smaller parts (e.g., 1241 = 1000 + 200 + 40 + 1).
- Use distributive property: a × b = a × (c + d + e) = a×c + a×d + a×e.
- Watch for zeros — factor them out first (e.g., 2350 = 235 × 10), then multiply and re-add zeros.
- Always check alignment when doing column multiplication.
- Double-check with estimation: e.g., 1235 × 1432 ≈ 1200 × 1400 = 1,680,000 → close to 1,764,820 → reasonable.

Let me know if you'd like a printable version or step-by-step visual solutions!