Grade 5 Multiplication Worksheets | Free Printables | Math Worksheets - Free Printable
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Show Answer Key & Explanations
Step-by-step solution for: Grade 5 Multiplication Worksheets | Free Printables | Math Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Grade 5 Multiplication Worksheets | Free Printables | Math Worksheets
Let’s solve each multiplication problem step by step. We’ll multiply the top number by the bottom number, breaking it into two parts: first multiply by the ones digit, then by the tens digit (remembering to add a zero at the end for the tens place), and finally add them together.
---
1. 449 × 46
First, multiply 449 × 6 =
→ 9×6=54 → write down 4, carry 5
→ 4×6=24 +5=29 → write down 9, carry 2
→ 4×6=24 +2=26 → so 2694
Then, multiply 449 × 40 = 449 × 4 × 10
→ 449 × 4:
9×4=36 → write 6, carry 3
4×4=16+3=19 → write 9, carry 1
4×4=16+1=17 → so 1796 → then add zero → 17960
Now add:
2694
+17960
= 20654
✔ Check: 449 × 46 = 20654
---
2. 825 × 57
825 × 7 =
5×7=35 → 5, carry 3
2×7=14+3=17 → 7, carry 1
8×7=56+1=57 → 5775
825 × 50 = 825 × 5 × 10
825 × 5:
5×5=25 → 5, carry 2
2×5=10+2=12 → 2, carry 1
8×5=40+1=41 → 4125 → add zero → 41250
Add:
5775
+41250
= 47025
✔ Check: 825 × 57 = 47025
---
3. 742 × 96
742 × 6 =
2×6=12 → 2, carry 1
4×6=24+1=25 → 5, carry 2
7×6=42+2=44 → 4452
742 × 90 = 742 × 9 × 10
742 × 9:
2×9=18 → 8, carry 1
4×9=36+1=37 → 7, carry 3
7×9=63+3=66 → 6678 → add zero → 66780
Add:
4452
+66780
= 71232
✔ Check: 742 × 96 = 71232
---
4. 325 × 52
325 × 2 = 650
325 × 50 = 325 × 5 × 10
325 × 5:
5×5=25 → 5, carry 2
2×5=10+2=12 → 2, carry 1
3×5=15+1=16 → 1625 → add zero → 16250
Add:
650
+16250
= 16900
✔ Check: 325 × 52 = 16900
---
5. 749 × 82
749 × 2 = 1498
749 × 80 = 749 × 8 × 10
749 × 8:
9×8=72 → 2, carry 7
4×8=32+7=39 → 9, carry 3
7×8=56+3=59 → 5992 → add zero → 59920
Add:
1498
+59920
= 61418
✔ Check: 749 × 82 = 61418
---
6. 886 × 78
886 × 8 =
6×8=48 → 8, carry 4
8×8=64+4=68 → 8, carry 6
8×8=64+6=70 → 7088
886 × 70 = 886 × 7 × 10
886 × 7:
6×7=42 → 2, carry 4
8×7=56+4=60 → 0, carry 6
8×7=56+6=62 → 6202 → add zero → 62020
Add:
7088
+62020
= 69108
✔ Check: 886 × 78 = 69108
---
7. 446 × 63
446 × 3 =
6×3=18 → 8, carry 1
4×3=12+1=13 → 3, carry 1
4×3=12+1=13 → 1338
446 × 60 = 446 × 6 × 10
446 × 6:
6×6=36 → 6, carry 3
4×6=24+3=27 → 7, carry 2
4×6=24+2=26 → 2676 → add zero → 26760
Add:
1338
+26760
= 28098
✔ Check: 446 × 63 = 28098
---
8. 284 × 74
284 × 4 =
4×4=16 → 6, carry 1
8×4=32+1=33 → 3, carry 3
2×4=8+3=11 → 1136
284 × 70 = 284 × 7 × 10
284 × 7:
4×7=28 → 8, carry 2
8×7=56+2=58 → 8, carry 5
2×7=14+5=19 → 1988 → add zero → 19880
Add:
1136
+19880
= 21016
✔ Check: 284 × 74 = 21016
---
9. 638 × 97
638 × 7 =
8×7=56 → 6, carry 5
3×7=21+5=26 → 6, carry 2
6×7=42+2=44 → 4466
638 × 90 = 638 × 9 × 10
638 × 9:
8×9=72 → 2, carry 7
3×9=27+7=34 → 4, carry 3
6×9=54+3=57 → 5742 → add zero → 57420
Add:
4466
+57420
= 61886
✔ Check: 638 × 97 = 61886
---
10. 746 × 28
746 × 8 =
6×8=48 → 8, carry 4
4×8=32+4=36 → 6, carry 3
7×8=56+3=59 → 5968
746 × 20 = 746 × 2 × 10
746 × 2 = 1492 → add zero → 14920
Add:
5968
+14920
= 20888
✔ Check: 746 × 28 = 20888
---
11. 748 × 67
748 × 7 =
8×7=56 → 6, carry 5
4×7=28+5=33 → 3, carry 3
7×7=49+3=52 → 5236
748 × 60 = 748 × 6 × 10
748 × 6:
8×6=48 → 8, carry 4
4×6=24+4=28 → 8, carry 2
7×6=42+2=44 → 4488 → add zero → 44880
Add:
5236
+44880
= 50116
✔ Check: 748 × 67 = 50116
---
12. 387 × 49
387 × 9 =
7×9=63 → 3, carry 6
8×9=72+6=78 → 8, carry 7
3×9=27+7=34 → 3483
387 × 40 = 387 × 4 × 10
387 × 4:
7×4=28 → 8, carry 2
8×4=32+2=34 → 4, carry 3
3×4=12+3=15 → 1548 → add zero → 15480
Add:
3483
+15480
= 18963
✔ Check: 387 × 49 = 18963
---
Final Answer:
1. 20654
2. 47025
3. 71232
4. 16900
5. 61418
6. 69108
7. 28098
8. 21016
9. 61886
10. 20888
11. 50116
12. 18963
---
1. 449 × 46
First, multiply 449 × 6 =
→ 9×6=54 → write down 4, carry 5
→ 4×6=24 +5=29 → write down 9, carry 2
→ 4×6=24 +2=26 → so 2694
Then, multiply 449 × 40 = 449 × 4 × 10
→ 449 × 4:
9×4=36 → write 6, carry 3
4×4=16+3=19 → write 9, carry 1
4×4=16+1=17 → so 1796 → then add zero → 17960
Now add:
2694
+17960
= 20654
✔ Check: 449 × 46 = 20654
---
2. 825 × 57
825 × 7 =
5×7=35 → 5, carry 3
2×7=14+3=17 → 7, carry 1
8×7=56+1=57 → 5775
825 × 50 = 825 × 5 × 10
825 × 5:
5×5=25 → 5, carry 2
2×5=10+2=12 → 2, carry 1
8×5=40+1=41 → 4125 → add zero → 41250
Add:
5775
+41250
= 47025
✔ Check: 825 × 57 = 47025
---
3. 742 × 96
742 × 6 =
2×6=12 → 2, carry 1
4×6=24+1=25 → 5, carry 2
7×6=42+2=44 → 4452
742 × 90 = 742 × 9 × 10
742 × 9:
2×9=18 → 8, carry 1
4×9=36+1=37 → 7, carry 3
7×9=63+3=66 → 6678 → add zero → 66780
Add:
4452
+66780
= 71232
✔ Check: 742 × 96 = 71232
---
4. 325 × 52
325 × 2 = 650
325 × 50 = 325 × 5 × 10
325 × 5:
5×5=25 → 5, carry 2
2×5=10+2=12 → 2, carry 1
3×5=15+1=16 → 1625 → add zero → 16250
Add:
650
+16250
= 16900
✔ Check: 325 × 52 = 16900
---
5. 749 × 82
749 × 2 = 1498
749 × 80 = 749 × 8 × 10
749 × 8:
9×8=72 → 2, carry 7
4×8=32+7=39 → 9, carry 3
7×8=56+3=59 → 5992 → add zero → 59920
Add:
1498
+59920
= 61418
✔ Check: 749 × 82 = 61418
---
6. 886 × 78
886 × 8 =
6×8=48 → 8, carry 4
8×8=64+4=68 → 8, carry 6
8×8=64+6=70 → 7088
886 × 70 = 886 × 7 × 10
886 × 7:
6×7=42 → 2, carry 4
8×7=56+4=60 → 0, carry 6
8×7=56+6=62 → 6202 → add zero → 62020
Add:
7088
+62020
= 69108
✔ Check: 886 × 78 = 69108
---
7. 446 × 63
446 × 3 =
6×3=18 → 8, carry 1
4×3=12+1=13 → 3, carry 1
4×3=12+1=13 → 1338
446 × 60 = 446 × 6 × 10
446 × 6:
6×6=36 → 6, carry 3
4×6=24+3=27 → 7, carry 2
4×6=24+2=26 → 2676 → add zero → 26760
Add:
1338
+26760
= 28098
✔ Check: 446 × 63 = 28098
---
8. 284 × 74
284 × 4 =
4×4=16 → 6, carry 1
8×4=32+1=33 → 3, carry 3
2×4=8+3=11 → 1136
284 × 70 = 284 × 7 × 10
284 × 7:
4×7=28 → 8, carry 2
8×7=56+2=58 → 8, carry 5
2×7=14+5=19 → 1988 → add zero → 19880
Add:
1136
+19880
= 21016
✔ Check: 284 × 74 = 21016
---
9. 638 × 97
638 × 7 =
8×7=56 → 6, carry 5
3×7=21+5=26 → 6, carry 2
6×7=42+2=44 → 4466
638 × 90 = 638 × 9 × 10
638 × 9:
8×9=72 → 2, carry 7
3×9=27+7=34 → 4, carry 3
6×9=54+3=57 → 5742 → add zero → 57420
Add:
4466
+57420
= 61886
✔ Check: 638 × 97 = 61886
---
10. 746 × 28
746 × 8 =
6×8=48 → 8, carry 4
4×8=32+4=36 → 6, carry 3
7×8=56+3=59 → 5968
746 × 20 = 746 × 2 × 10
746 × 2 = 1492 → add zero → 14920
Add:
5968
+14920
= 20888
✔ Check: 746 × 28 = 20888
---
11. 748 × 67
748 × 7 =
8×7=56 → 6, carry 5
4×7=28+5=33 → 3, carry 3
7×7=49+3=52 → 5236
748 × 60 = 748 × 6 × 10
748 × 6:
8×6=48 → 8, carry 4
4×6=24+4=28 → 8, carry 2
7×6=42+2=44 → 4488 → add zero → 44880
Add:
5236
+44880
= 50116
✔ Check: 748 × 67 = 50116
---
12. 387 × 49
387 × 9 =
7×9=63 → 3, carry 6
8×9=72+6=78 → 8, carry 7
3×9=27+7=34 → 3483
387 × 40 = 387 × 4 × 10
387 × 4:
7×4=28 → 8, carry 2
8×4=32+2=34 → 4, carry 3
3×4=12+3=15 → 1548 → add zero → 15480
Add:
3483
+15480
= 18963
✔ Check: 387 × 49 = 18963
---
Final Answer:
1. 20654
2. 47025
3. 71232
4. 16900
5. 61418
6. 69108
7. 28098
8. 21016
9. 61886
10. 20888
11. 50116
12. 18963
Parent Tip: Review the logic above to help your child master the concept of free multiplication worksheet grade 5.
