5th Grade Multiplication Math Worksheet with 16 problems, ideal for classroom or home practice.
5th Grade Math Worksheet featuring multiplication problems with four-digit numbers, designed for elementary students, including a space for the student's name and a logo for Elementary Math Games.
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Step-by-step solution for: Free Printable Multiplication Worksheet for Fifth Grade
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Show Answer Key & Explanations
Step-by-step solution for: Free Printable Multiplication Worksheet for Fifth Grade
Let’s solve each multiplication problem step by step. We’ll do them one at a time, carefully multiplying the numbers.
---
Problem 1: 1235 × 1432
We can break this down using long multiplication or just multiply directly (since we’re checking accuracy):
1235 × 1432 = ?
Let me compute:
First, 1235 × 1000 = 1,235,000
1235 × 400 = 494,000
1235 × 30 = 37,050
1235 × 2 = 2,470
Now add them up:
1,235,000
+ 494,000 → 1,729,000
+ 37,050 → 1,766,050
+ 2,470 → 1,768,520
✔ Check with calculator-style math: 1235 × 1432 = 1,768,520
---
Problem 2: 2123 × 1241
Break it down:
2123 × 1000 = 2,123,000
2123 × 200 = 424,600
2123 × 40 = 84,920
2123 × 1 = 2,123
Add:
2,123,000
+ 424,600 → 2,547,600
+ 84,920 → 2,632,520
+ 2,123 → 2,634,643
✔ Verified: 2123 × 1241 = 2,634,643
---
Problem 3: 1604 × 2350
Note: 2350 = 235 × 10, so we can do 1604 × 235 first, then ×10.
But let’s do direct:
1604 × 2000 = 3,208,000
1604 × 300 = 481,200
1604 × 50 = 80,200
Add:
3,208,000
+ 481,200 → 3,689,200
+ 80,200 → 3,769,400
✔ Verified: 1604 × 2350 = 3,769,400
---
Problem 4: 1704 × 1098
Break 1098 into 1000 + 90 + 8
1704 × 1000 = 1,704,000
1704 × 90 = 153,360
1704 × 8 = 13,632
Add:
1,704,000
+ 153,360 → 1,857,360
+ 13,632 → 1,870,992
✔ Verified: 1704 × 1098 = 1,870,992
---
Problem 5: 2091 × 1533
Break 1533 = 1000 + 500 + 30 + 3
2091 × 1000 = 2,091,000
2091 × 500 = 1,045,500
2091 × 30 = 62,730
2091 × 3 = 6,273
Add:
2,091,000
+ 1,045,500 → 3,136,500
+ 62,730 → 3,199,230
+ 6,273 → 3,205,503
✔ Verified: 2091 × 1533 = 3,205,503
---
Problem 6: 1034 × 1390
Note: 1390 = 139 × 10 → do 1034 × 139 then ×10
Or break 1390 = 1000 + 300 + 90
1034 × 1000 = 1,034,000
1034 × 300 = 310,200
1034 × 90 = 93,060
Add:
1,034,000
+ 310,200 → 1,344,200
+ 93,060 → 1,437,260
✔ Verified: 1034 × 1390 = 1,437,260
---
Problem 7: 1195 × 1585
This is trickier. Let’s use:
1195 × 1500 = 1,792,500
1195 × 85 = ?
Compute 1195 × 80 = 95,600
1195 × 5 = 5,975
→ 95,600 + 5,975 = 101,575
Total: 1,792,500 + 101,575 = 1,894,075
✔ Verified: 1195 × 1585 = 1,894,075
---
Problem 8: 3129 × 1690
Break 1690 = 1000 + 600 + 90
3129 × 1000 = 3,129,000
3129 × 600 = 1,877,400
3129 × 90 = 281,610
Add:
3,129,000
+ 1,877,400 → 5,006,400
+ 281,610 → 5,288,010
✔ Verified: 3129 × 1690 = 5,288,010
---
Problem 9: 1430 × 2316
Break 2316 = 2000 + 300 + 10 + 6
1430 × 2000 = 2,860,000
1430 × 300 = 429,000
1430 × 10 = 14,300
1430 × 6 = 8,580
Add:
2,860,000
+ 429,000 → 3,289,000
+ 14,300 → 3,303,300
+ 8,580 → 3,311,880
✔ Verified: 1430 × 2316 = 3,311,880
---
Problem 10: 5614 × 2060
Note: 2060 = 2000 + 60
5614 × 2000 = 11,228,000
5614 × 60 = 336,840
Add: 11,228,000 + 336,840 = 11,564,840
✔ Verified: 5614 × 2060 = 11,564,840
---
Problem 11: 1430 × 2451
Break 2451 = 2000 + 400 + 50 + 1
1430 × 2000 = 2,860,000
1430 × 400 = 572,000
1430 × 50 = 71,500
1430 × 1 = 1,430
Add:
2,860,000
+ 572,000 → 3,432,000
+ 71,500 → 3,503,500
+ 1,430 → 3,504,930
✔ Verified: 1430 × 2451 = 3,504,930
---
Problem 12: 4643 × 2358
This is big — let’s break 2358 = 2000 + 300 + 50 + 8
4643 × 2000 = 9,286,000
4643 × 300 = 1,392,900
4643 × 50 = 232,150
4643 × 8 = 37,144
Add:
9,286,000
+ 1,392,900 → 10,678,900
+ 232,150 → 10,911,050
+ 37,144 → 10,948,194
✔ Verified: 4643 × 2358 = 10,948,194
---
Problem 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
✔ Verified: 2802 × 1917 = 5,371,434
---
Problem 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
✔ Verified: 2675 × 1032 = 2,760,600
---
Problem 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
✔ Verified: 2541 × 1434 = 3,643,794
---
Problem 16: 2619 × 1210
Note: 1210 = 121 × 10 → do 2619 × 121 then ×10
Or break 1210 = 1000 + 200 + 10
2619 × 1000 = 2,619,000
2619 × 200 = 523,800
2619 × 10 = 26,190
Add:
2,619,000
+ 523,800 → 3,142,800
+ 26,190 → 3,168,990
✔ Verified: 2619 × 1210 = 3,168,990
---
Final Answer:
1. 1235 × 1432 = 1,768,520
2. 2123 × 1241 = 2,634,643
3. 1604 × 2350 = 3,769,400
4. 1704 × 1098 = 1,870,992
5. 2091 × 1533 = 3,205,503
6. 1034 × 1390 = 1,437,260
7. 1195 × 1585 = 1,894,075
8. 3129 × 1690 = 5,288,010
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
---
Problem 1: 1235 × 1432
We can break this down using long multiplication or just multiply directly (since we’re checking accuracy):
1235 × 1432 = ?
Let me compute:
First, 1235 × 1000 = 1,235,000
1235 × 400 = 494,000
1235 × 30 = 37,050
1235 × 2 = 2,470
Now add them up:
1,235,000
+ 494,000 → 1,729,000
+ 37,050 → 1,766,050
+ 2,470 → 1,768,520
✔ Check with calculator-style math: 1235 × 1432 = 1,768,520
---
Problem 2: 2123 × 1241
Break it down:
2123 × 1000 = 2,123,000
2123 × 200 = 424,600
2123 × 40 = 84,920
2123 × 1 = 2,123
Add:
2,123,000
+ 424,600 → 2,547,600
+ 84,920 → 2,632,520
+ 2,123 → 2,634,643
✔ Verified: 2123 × 1241 = 2,634,643
---
Problem 3: 1604 × 2350
Note: 2350 = 235 × 10, so we can do 1604 × 235 first, then ×10.
But let’s do direct:
1604 × 2000 = 3,208,000
1604 × 300 = 481,200
1604 × 50 = 80,200
Add:
3,208,000
+ 481,200 → 3,689,200
+ 80,200 → 3,769,400
✔ Verified: 1604 × 2350 = 3,769,400
---
Problem 4: 1704 × 1098
Break 1098 into 1000 + 90 + 8
1704 × 1000 = 1,704,000
1704 × 90 = 153,360
1704 × 8 = 13,632
Add:
1,704,000
+ 153,360 → 1,857,360
+ 13,632 → 1,870,992
✔ Verified: 1704 × 1098 = 1,870,992
---
Problem 5: 2091 × 1533
Break 1533 = 1000 + 500 + 30 + 3
2091 × 1000 = 2,091,000
2091 × 500 = 1,045,500
2091 × 30 = 62,730
2091 × 3 = 6,273
Add:
2,091,000
+ 1,045,500 → 3,136,500
+ 62,730 → 3,199,230
+ 6,273 → 3,205,503
✔ Verified: 2091 × 1533 = 3,205,503
---
Problem 6: 1034 × 1390
Note: 1390 = 139 × 10 → do 1034 × 139 then ×10
Or break 1390 = 1000 + 300 + 90
1034 × 1000 = 1,034,000
1034 × 300 = 310,200
1034 × 90 = 93,060
Add:
1,034,000
+ 310,200 → 1,344,200
+ 93,060 → 1,437,260
✔ Verified: 1034 × 1390 = 1,437,260
---
Problem 7: 1195 × 1585
This is trickier. Let’s use:
1195 × 1500 = 1,792,500
1195 × 85 = ?
Compute 1195 × 80 = 95,600
1195 × 5 = 5,975
→ 95,600 + 5,975 = 101,575
Total: 1,792,500 + 101,575 = 1,894,075
✔ Verified: 1195 × 1585 = 1,894,075
---
Problem 8: 3129 × 1690
Break 1690 = 1000 + 600 + 90
3129 × 1000 = 3,129,000
3129 × 600 = 1,877,400
3129 × 90 = 281,610
Add:
3,129,000
+ 1,877,400 → 5,006,400
+ 281,610 → 5,288,010
✔ Verified: 3129 × 1690 = 5,288,010
---
Problem 9: 1430 × 2316
Break 2316 = 2000 + 300 + 10 + 6
1430 × 2000 = 2,860,000
1430 × 300 = 429,000
1430 × 10 = 14,300
1430 × 6 = 8,580
Add:
2,860,000
+ 429,000 → 3,289,000
+ 14,300 → 3,303,300
+ 8,580 → 3,311,880
✔ Verified: 1430 × 2316 = 3,311,880
---
Problem 10: 5614 × 2060
Note: 2060 = 2000 + 60
5614 × 2000 = 11,228,000
5614 × 60 = 336,840
Add: 11,228,000 + 336,840 = 11,564,840
✔ Verified: 5614 × 2060 = 11,564,840
---
Problem 11: 1430 × 2451
Break 2451 = 2000 + 400 + 50 + 1
1430 × 2000 = 2,860,000
1430 × 400 = 572,000
1430 × 50 = 71,500
1430 × 1 = 1,430
Add:
2,860,000
+ 572,000 → 3,432,000
+ 71,500 → 3,503,500
+ 1,430 → 3,504,930
✔ Verified: 1430 × 2451 = 3,504,930
---
Problem 12: 4643 × 2358
This is big — let’s break 2358 = 2000 + 300 + 50 + 8
4643 × 2000 = 9,286,000
4643 × 300 = 1,392,900
4643 × 50 = 232,150
4643 × 8 = 37,144
Add:
9,286,000
+ 1,392,900 → 10,678,900
+ 232,150 → 10,911,050
+ 37,144 → 10,948,194
✔ Verified: 4643 × 2358 = 10,948,194
---
Problem 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
✔ Verified: 2802 × 1917 = 5,371,434
---
Problem 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
✔ Verified: 2675 × 1032 = 2,760,600
---
Problem 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
✔ Verified: 2541 × 1434 = 3,643,794
---
Problem 16: 2619 × 1210
Note: 1210 = 121 × 10 → do 2619 × 121 then ×10
Or break 1210 = 1000 + 200 + 10
2619 × 1000 = 2,619,000
2619 × 200 = 523,800
2619 × 10 = 26,190
Add:
2,619,000
+ 523,800 → 3,142,800
+ 26,190 → 3,168,990
✔ Verified: 2619 × 1210 = 3,168,990
---
Final Answer:
1. 1235 × 1432 = 1,768,520
2. 2123 × 1241 = 2,634,643
3. 1604 × 2350 = 3,769,400
4. 1704 × 1098 = 1,870,992
5. 2091 × 1533 = 3,205,503
6. 1034 × 1390 = 1,437,260
7. 1195 × 1585 = 1,894,075
8. 3129 × 1690 = 5,288,010
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
Parent Tip: Review the logic above to help your child master the concept of multiplication sheets for 5th grade.