5th Grade Math Worksheets - Free Printable

Let's solve each of the multiplication problems step by step. I'll show you how to calculate them using the standard long multiplication method.

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1. 1235 × 1432

Break it down:

```
1235
×1432
------
2470 (1235 × 2)
3705 (1235 × 30, shifted one place left)
4940 (1235 × 400, shifted two places left)
1235 (1235 × 1000, shifted three places left)
-------
1,766,820
```

✔ Answer: 1,766,820

---

2. 2123 × 1241

```
2123
×1241
------
2123 (×1)
8492 (×40, shifted)
4246 (×200, shifted)
2123 (×1000, shifted)
-------
2,635,043
```

✔ Answer: 2,635,043

---

3. 1604 × 2350

Note: 2350 = 235 × 10 → we can multiply 1604 × 235 then add a zero.

But let’s do full multiplication:

```
1604
×2350
------
0 (×0)
8020 (×50, shifted)
4812 (×300, shifted)
3208 (×2000, shifted)
-------
3,767,400
```

Wait — better to do:

Actually:
- 1604 × 2350 = 1604 × (235 × 10) = (1604 × 235) × 10

Let’s compute 1604 × 235:

```
1604
× 235
------
8020 (×5)
4812 (×30, shifted)
3208 (×200, shifted)
-------
376,740
```

Then ×10 → 3,767,400

✔ Answer: 3,767,400

---

4. 1704 × 1098

```
1704
×1098
------
1704 (×8)
15336 (×90, shifted)
1704 (×000, but actually ×1000)
1704 (×1000, shifted)
-------
1,871,392
```

Wait — better:

1704 × 1098 = 1704 × (1000 + 90 + 8)

= 1704×1000 = 1,704,000
+ 1704×90 = 153,360
+ 1704×8 = 13,632
Total = 1,704,000 + 153,360 = 1,857,360 + 13,632 = 1,870,992

✔ Answer: 1,870,992

---

5. 2091 × 1533

We’ll use distributive property:

2091 × 1533 = 2091 × (1500 + 33) = 2091×1500 + 2091×33

First: 2091 × 1500 = 2091 × 15 × 100

2091 × 15:

= 2091 × 10 = 20,910
+ 2091 × 5 = 10,455
→ 31,365 → ×100 = 3,136,500

Now: 2091 × 33 = 2091 × 30 + 2091 × 3
= 62,730 + 6,273 = 68,993

Total: 3,136,500 + 68,993 = 3,205,493

✔ Answer: 3,205,493

---

6. 1034 × 1390

1390 = 139 × 10

So: 1034 × 139 × 10

First: 1034 × 139

= 1034 × (100 + 30 + 9)

= 1034×100 = 103,400
+ 1034×30 = 31,020
+ 1034×9 = 9,306
Sum: 103,400 + 31,020 = 134,420 + 9,306 = 143,726

Then ×10 → 1,437,260

✔ Answer: 1,437,260

---

7. 1195 × 1585

Use long multiplication:

```
1195
×1585
------
5975 (×5)
9560 (×80, shifted)
5975 (×500, shifted)
1195 (×1000, shifted)
-------
1,894,075
```

Let’s verify:

1195 × 1585 = ?

Break it:

1195 × 1585 = 1195 × (1600 - 15) = 1195×1600 - 1195×15

1195 × 1600 = 1195 × 16 × 100

1195 × 16:

1195 × 10 = 11,950
1195 × 6 = 7,170
→ 19,120 → ×100 = 1,912,000

1195 × 15 = 1195 × 10 + 1195 × 5 = 11,950 + 5,975 = 17,925

Now subtract: 1,912,000 - 17,925 = 1,894,075

✔ Answer: 1,894,075

---

8. 3129 × 1690

1690 = 169 × 10

So: 3129 × 169 × 10

Compute 3129 × 169

= 3129 × (100 + 60 + 9)

= 3129×100 = 312,900
+ 3129×60 = 187,740
+ 3129×9 = 28,161
Sum: 312,900 + 187,740 = 499,640 + 28,161 = 527,801

×10 → 5,278,010

✔ Answer: 5,278,010

---

9. 1430 × 2316

1430 = 143 × 10

So: 143 × 2316 × 10

Compute 143 × 2316

= 143 × (2000 + 300 + 16)

= 143×2000 = 286,000
+ 143×300 = 42,900
+ 143×16 = 2,288
Total: 286,000 + 42,900 = 328,900 + 2,288 = 331,188

×10 → 3,311,880

✔ Answer: 3,311,880

---

10. 5614 × 2060

2060 = 206 × 10

So: 5614 × 206 × 10

Compute 5614 × 206

= 5614 × (200 + 6)

= 5614×200 = 1,122,800
+ 5614×6 = 33,684
Total = 1,122,800 + 33,684 = 1,156,484

×10 → 11,564,840

✔ Answer: 11,564,840

---

11. 1430 × 2451

Again, 1430 = 143 × 10

So: 143 × 2451 × 10

Compute 143 × 2451

= 143 × (2000 + 400 + 50 + 1)

= 143×2000 = 286,000
+ 143×400 = 57,200
+ 143×50 = 7,150
+ 143×1 = 143
Total: 286,000 + 57,200 = 343,200 + 7,150 = 350,350 + 143 = 350,493

×10 → 3,504,930

✔ Answer: 3,504,930

---

12. 4643 × 2358

This is big — let's compute carefully.

Use long multiplication:

```
4643
×2358
------
37144 (×8)
23215 (×50, shifted)
13929 (×300, shifted)
9286 (×2000, shifted)
-------
10,950,694
```

Wait — better to break it:

4643 × 2358 = ?

Break 2358 = 2000 + 300 + 50 + 8

So:

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

Now sum:

Start from bottom:

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

Wait — check calculation:

4643 × 8 = 37,144 ✔
4643 × 50 = 4643 × 5 × 10 = 23,215 × 10 = 232,150 ✔
4643 × 300 = 4643 × 3 × 100 = 13,929 × 100 = 1,392,900 ✔
4643 × 2000 = 4643 × 2 × 1000 = 9,286 × 1000 = 9,286,000 ✔

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 = 1900 + 17

= 2802 × 1900 + 2802 × 17

First: 2802 × 1900 = 2802 × 19 × 100

2802 × 19:

= 2802 × 20 - 2802 = 56,040 - 2,802 = 53,238

×100 = 5,323,800

Now: 2802 × 17 = 2802 × 10 + 2802 × 7 = 28,020 + 19,614 = 47,634

Total: 5,323,800 + 47,634 = 5,371,434

✔ Answer: 5,371,434

---

14. 2675 × 1032

Break 1032 = 1000 + 32

= 2675 × 1000 = 2,675,000
+ 2675 × 32

2675 × 32 = 2675 × 30 + 2675 × 2 = 80,250 + 5,350 = 85,600

Total: 2,675,000 + 85,600 = 2,760,600

✔ Answer: 2,760,600

---

15. 2541 × 1434

Break 1434 = 1400 + 34

= 2541 × 1400 + 2541 × 34

2541 × 1400 = 2541 × 14 × 100

2541 × 14:

= 2541 × 10 = 25,410
+ 2541 × 4 = 10,164
→ 35,574 → ×100 = 3,557,400

Now 2541 × 34 = 2541 × 30 + 2541 × 4 = 76,230 + 10,164 = 86,394

Total: 3,557,400 + 86,394 = 3,643,794

✔ Answer: 3,643,794

---

16. 2619 × 1210

1210 = 121 × 10

So: 2619 × 121 × 10

Compute 2619 × 121

= 2619 × (100 + 20 + 1)

= 2619×100 = 261,900
+ 2619×20 = 52,380
+ 2619×1 = 2,619
Sum: 261,900 + 52,380 = 314,280 + 2,619 = 316,899

×10 → 3,168,990

✔ Answer: 3,168,990

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## ✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1235 × 1432 | 1,766,820 |
| 2123 × 1241 | 2,635,043 |
| 1604 × 2350 | 3,767,400 |
| 1704 × 1098 | 1,870,992 |
| 2091 × 1533 | 3,205,493 |
| 1034 × 1390 | 1,437,260 |
| 1195 × 1585 | 1,894,075 |
| 3129 × 1690 | 5,278,010 |
| 1430 × 2316 | 3,311,880 |
| 5614 × 2060 | 11,564,840 |
| 1430 × 2451 | 3,504,930 |
| 4643 × 2358 | 10,948,194 |
| 2802 × 1917 | 5,371,434 |
| 2675 × 1032 | 2,760,600 |
| 2541 × 1434 | 3,643,794 |
| 2619 × 1210 | 3,168,990 |

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