Fifth Grade Math Worksheets - Free Printable
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Step-by-step solution for: Fifth Grade Math Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Fifth Grade Math Worksheets
To solve these multiplication problems, we’ll multiply each pair of numbers step by step. Since there are 16 problems, I’ll solve them one at a time and double-check each answer.
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Problem 1: 1235 × 1432
Break it down:
1235 × 1000 = 1,235,000
1235 × 400 = 494,000
1235 × 30 = 37,050
1235 × 2 = 2,470
Add them:
1,235,000 + 494,000 = 1,729,000
1,729,000 + 37,050 = 1,766,050
1,766,050 + 2,470 = 1,768,520
✔ Check: 1235 × 1432 = 1,768,520
---
Problem 2: 2123 × 1241
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
2,547,600 + 84,920 = 2,632,520
2,632,520 + 2,123 = 2,634,643
✔ Check: 2123 × 1241 = 2,634,643
---
Problem 3: 1604 × 2350
Note: 2350 = 235 × 10 → so multiply 1604 × 235, then add a zero.
1604 × 200 = 320,800
1604 × 30 = 48,120
1604 × 5 = 8,020
Add: 320,800 + 48,120 = 368,920 + 8,020 = 376,940
Now ×10 → 3,769,400
✔ Check: 1604 × 2350 = 3,769,400
---
Problem 4: 1704 × 1098
1704 × 1000 = 1,704,000
1704 × 90 = 153,360
1704 × 8 = 13,632
Add:
1,704,000 + 153,360 = 1,857,360
1,857,360 + 13,632 = 1,870,992
✔ Check: 1704 × 1098 = 1,870,992
---
Problem 5: 2091 × 1533
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
3,136,500 + 62,730 = 3,199,230
3,199,230 + 6,273 = 3,205,503
✔ Check: 2091 × 1533 = 3,205,503
---
Problem 6: 1034 × 1390
1034 × 1000 = 1,034,000
1034 × 300 = 310,200
1034 × 90 = 93,060
Add:
1,034,000 + 310,200 = 1,344,200
1,344,200 + 93,060 = 1,437,260
✔ Check: 1034 × 1390 = 1,437,260
---
Problem 7: 1195 × 1585
1195 × 1000 = 1,195,000
1195 × 500 = 597,500
1195 × 80 = 95,600
1195 × 5 = 5,975
Add:
1,195,000 + 597,500 = 1,792,500
1,792,500 + 95,600 = 1,888,100
1,888,100 + 5,975 = 1,894,075
✔ Check: 1195 × 1585 = 1,894,075
---
Problem 8: 3129 × 1690
3129 × 1000 = 3,129,000
3129 × 600 = 1,877,400
3129 × 90 = 281,610
Add:
3,129,000 + 1,877,400 = 5,006,400
5,006,400 + 281,610 = 5,288,010
✔ Check: 3129 × 1690 = 5,288,010
---
Problem 9: 1430 × 2316
1430 × 2000 = 2,860,000
1430 × 300 = 429,000
1430 × 16 = 22,880
Add:
2,860,000 + 429,000 = 3,289,000
3,289,000 + 22,880 = 3,311,880
✔ Check: 1430 × 2316 = 3,311,880
---
Problem 10: 5614 × 2060
5614 × 2000 = 11,228,000
5614 × 60 = 336,840
Add:
11,228,000 + 336,840 = 11,564,840
✔ Check: 5614 × 2060 = 11,564,840
---
Problem 11: 1430 × 2451
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
3,432,000 + 71,500 = 3,503,500
3,503,500 + 1,430 = 3,504,930
✔ Check: 1430 × 2451 = 3,504,930
---
Problem 12: 4643 × 2358
This is big — let’s break it:
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
10,678,900 + 232,150 = 10,911,050
10,911,050 + 37,144 = 10,948,194
✔ Check: 4643 × 2358 = 10,948,194
---
Problem 13: 2802 × 1917
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
5,323,800 + 28,020 = 5,351,820
5,351,820 + 19,614 = 5,371,434
✔ Check: 2802 × 1917 = 5,371,434
---
Problem 14: 2675 × 1032
2675 × 1000 = 2,675,000
2675 × 30 = 80,250
2675 × 2 = 5,350
Add:
2,675,000 + 80,250 = 2,755,250
2,755,250 + 5,350 = 2,760,600
✔ Check: 2675 × 1032 = 2,760,600
---
Problem 15: 2541 × 1434
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
3,557,400 + 76,230 = 3,633,630
3,633,630 + 10,164 = 3,643,794
✔ Check: 2541 × 1434 = 3,643,794
---
Problem 16: 2619 × 1210
2619 × 1000 = 2,619,000
2619 × 200 = 523,800
2619 × 10 = 26,190
Add:
2,619,000 + 523,800 = 3,142,800
3,142,800 + 26,190 = 3,168,990
✔ Check: 2619 × 1210 = 3,168,990
---
Final Answer:
1,768,520
2,634,643
3,769,400
1,870,992
3,205,503
1,437,260
1,894,075
5,288,010
3,311,880
11,564,840
3,504,930
10,948,194
5,371,434
2,760,600
3,643,794
3,168,990
---
Problem 1: 1235 × 1432
Break it down:
1235 × 1000 = 1,235,000
1235 × 400 = 494,000
1235 × 30 = 37,050
1235 × 2 = 2,470
Add them:
1,235,000 + 494,000 = 1,729,000
1,729,000 + 37,050 = 1,766,050
1,766,050 + 2,470 = 1,768,520
✔ Check: 1235 × 1432 = 1,768,520
---
Problem 2: 2123 × 1241
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
2,547,600 + 84,920 = 2,632,520
2,632,520 + 2,123 = 2,634,643
✔ Check: 2123 × 1241 = 2,634,643
---
Problem 3: 1604 × 2350
Note: 2350 = 235 × 10 → so multiply 1604 × 235, then add a zero.
1604 × 200 = 320,800
1604 × 30 = 48,120
1604 × 5 = 8,020
Add: 320,800 + 48,120 = 368,920 + 8,020 = 376,940
Now ×10 → 3,769,400
✔ Check: 1604 × 2350 = 3,769,400
---
Problem 4: 1704 × 1098
1704 × 1000 = 1,704,000
1704 × 90 = 153,360
1704 × 8 = 13,632
Add:
1,704,000 + 153,360 = 1,857,360
1,857,360 + 13,632 = 1,870,992
✔ Check: 1704 × 1098 = 1,870,992
---
Problem 5: 2091 × 1533
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
3,136,500 + 62,730 = 3,199,230
3,199,230 + 6,273 = 3,205,503
✔ Check: 2091 × 1533 = 3,205,503
---
Problem 6: 1034 × 1390
1034 × 1000 = 1,034,000
1034 × 300 = 310,200
1034 × 90 = 93,060
Add:
1,034,000 + 310,200 = 1,344,200
1,344,200 + 93,060 = 1,437,260
✔ Check: 1034 × 1390 = 1,437,260
---
Problem 7: 1195 × 1585
1195 × 1000 = 1,195,000
1195 × 500 = 597,500
1195 × 80 = 95,600
1195 × 5 = 5,975
Add:
1,195,000 + 597,500 = 1,792,500
1,792,500 + 95,600 = 1,888,100
1,888,100 + 5,975 = 1,894,075
✔ Check: 1195 × 1585 = 1,894,075
---
Problem 8: 3129 × 1690
3129 × 1000 = 3,129,000
3129 × 600 = 1,877,400
3129 × 90 = 281,610
Add:
3,129,000 + 1,877,400 = 5,006,400
5,006,400 + 281,610 = 5,288,010
✔ Check: 3129 × 1690 = 5,288,010
---
Problem 9: 1430 × 2316
1430 × 2000 = 2,860,000
1430 × 300 = 429,000
1430 × 16 = 22,880
Add:
2,860,000 + 429,000 = 3,289,000
3,289,000 + 22,880 = 3,311,880
✔ Check: 1430 × 2316 = 3,311,880
---
Problem 10: 5614 × 2060
5614 × 2000 = 11,228,000
5614 × 60 = 336,840
Add:
11,228,000 + 336,840 = 11,564,840
✔ Check: 5614 × 2060 = 11,564,840
---
Problem 11: 1430 × 2451
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
3,432,000 + 71,500 = 3,503,500
3,503,500 + 1,430 = 3,504,930
✔ Check: 1430 × 2451 = 3,504,930
---
Problem 12: 4643 × 2358
This is big — let’s break it:
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
10,678,900 + 232,150 = 10,911,050
10,911,050 + 37,144 = 10,948,194
✔ Check: 4643 × 2358 = 10,948,194
---
Problem 13: 2802 × 1917
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
5,323,800 + 28,020 = 5,351,820
5,351,820 + 19,614 = 5,371,434
✔ Check: 2802 × 1917 = 5,371,434
---
Problem 14: 2675 × 1032
2675 × 1000 = 2,675,000
2675 × 30 = 80,250
2675 × 2 = 5,350
Add:
2,675,000 + 80,250 = 2,755,250
2,755,250 + 5,350 = 2,760,600
✔ Check: 2675 × 1032 = 2,760,600
---
Problem 15: 2541 × 1434
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
3,557,400 + 76,230 = 3,633,630
3,633,630 + 10,164 = 3,643,794
✔ Check: 2541 × 1434 = 3,643,794
---
Problem 16: 2619 × 1210
2619 × 1000 = 2,619,000
2619 × 200 = 523,800
2619 × 10 = 26,190
Add:
2,619,000 + 523,800 = 3,142,800
3,142,800 + 26,190 = 3,168,990
✔ Check: 2619 × 1210 = 3,168,990
---
Final Answer:
1,768,520
2,634,643
3,769,400
1,870,992
3,205,503
1,437,260
1,894,075
5,288,010
3,311,880
11,564,840
3,504,930
10,948,194
5,371,434
2,760,600
3,643,794
3,168,990
Parent Tip: Review the logic above to help your child master the concept of fifth grade division worksheet.