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 use the standard column multiplication method — multiply the top number by the ones digit of the bottom number, then by the tens digit (remembering to add a zero at the end), and finally add the two results together.
---
1. 458 × 79
First, multiply 458 × 9 =
→ 8×9=72 → write 2, carry 7
→ 5×9=45 +7=52 → write 2, carry 5
→ 4×9=36 +5=41 → so 4122
Then, multiply 458 × 70 = 458 × 7 × 10
→ 8×7=56 → write 6, carry 5
→ 5×7=35 +5=40 → write 0, carry 4
→ 4×7=28 +4=32 → so 3206, then add a zero → 32060
Now add:
4122
+32060
= 36182
✔ Check: 458 × 79 = 36182
---
2. 824 × 37
824 × 7 =
→ 4×7=28 → write 8, carry 2
→ 2×7=14 +2=16 → write 6, carry 1
→ 8×7=56 +1=57 → so 5768
824 × 30 = 824 × 3 × 10
→ 4×3=12 → write 2, carry 1
→ 2×3=6 +1=7
→ 8×3=24 → so 2472, add zero → 24720
Add:
5768
+24720
= 30488
✔ Check: 824 × 37 = 30488
---
3. 715 × 97
715 × 7 =
→ 5×7=35 → write 5, carry 3
→ 1×7=7 +3=10 → write 0, carry 1
→ 7×7=49 +1=50 → so 5005
715 × 90 = 715 × 9 × 10
→ 5×9=45 → write 5, carry 4
→ 1×9=9 +4=13 → write 3, carry 1
→ 7×9=63 +1=64 → so 6435, add zero → 64350
Add:
5005
+64350
= 69355
✔ Check: 715 × 97 = 69355
---
4. 187 × 85
187 × 5 =
→ 7×5=35 → write 5, carry 3
→ 8×5=40 +3=43 → write 3, carry 4
→ 1×5=5 +4=9 → so 935
187 × 80 = 187 × 8 × 10
→ 7×8=56 → write 6, carry 5
→ 8×8=64 +5=69 → write 9, carry 6
→ 1×8=8 +6=14 → so 1496, add zero → 14960
Add:
935
+14960
= 15895
✔ Check: 187 × 85 = 15895
---
5. 936 × 94
936 × 4 =
→ 6×4=24 → write 4, carry 2
→ 3×4=12 +2=14 → write 4, carry 1
→ 9×4=36 +1=37 → so 3744
936 × 90 = 936 × 9 × 10
→ 6×9=54 → write 4, carry 5
→ 3×9=27 +5=32 → write 2, carry 3
→ 9×9=81 +3=84 → so 8424, add zero → 84240
Add:
3744
+84240
= 87984
✔ Check: 936 × 94 = 87984
---
6. 694 × 89
694 × 9 =
→ 4×9=36 → write 6, carry 3
→ 9×9=81 +3=84 → write 4, carry 8
→ 6×9=54 +8=62 → so 6246
694 × 80 = 694 × 8 × 10
→ 4×8=32 → write 2, carry 3
→ 9×8=72 +3=75 → write 5, carry 7
→ 6×8=48 +7=55 → so 5552, add zero → 55520
Add:
6246
+55520
= 61766
✔ Check: 694 × 89 = 61766
---
7. 418 × 45
418 × 5 =
→ 8×5=40 → write 0, carry 4
→ 1×5=5 +4=9
→ 4×5=20 → so 2090
418 × 40 = 418 × 4 × 10
→ 8×4=32 → write 2, carry 3
→ 1×4=4 +3=7
→ 4×4=16 → so 1672, add zero → 16720
Add:
2090
+16720
= 18810
✔ Check: 418 × 45 = 18810
---
8. 624 × 96
624 × 6 =
→ 4×6=24 → write 4, carry 2
→ 2×6=12 +2=14 → write 4, carry 1
→ 6×6=36 +1=37 → so 3744
624 × 90 = 624 × 9 × 10
→ 4×9=36 → write 6, carry 3
→ 2×9=18 +3=21 → write 1, carry 2
→ 6×9=54 +2=56 → so 5616, add zero → 56160
Add:
3744
+56160
= 59904
✔ Check: 624 × 96 = 59904
---
9. 519 × 82
519 × 2 =
→ 9×2=18 → write 8, carry 1
→ 1×2=2 +1=3
→ 5×2=10 → so 1038
519 × 80 = 519 × 8 × 10
→ 9×8=72 → write 2, carry 7
→ 1×8=8 +7=15 → write 5, carry 1
→ 5×8=40 +1=41 → so 4152, add zero → 41520
Add:
1038
+41520
= 42558
✔ Check: 519 × 82 = 42558
---
10. 743 × 72
743 × 2 =
→ 3×2=6
→ 4×2=8
→ 7×2=14 → so 1486
743 × 70 = 743 × 7 × 10
→ 3×7=21 → write 1, carry 2
→ 4×7=28 +2=30 → write 0, carry 3
→ 7×7=49 +3=52 → so 5201, add zero → 52010
Add:
1486
+52010
= 53496
✔ Check: 743 × 72 = 53496
---
11. 336 × 44
336 × 4 =
→ 6×4=24 → write 4, carry 2
→ 3×4=12 +2=14 → write 4, carry 1
→ 3×4=12 +1=13 → so 1344
336 × 40 = same as above but add zero → 13440
Add:
1344
+13440
= 14784
✔ Check: 336 × 44 = 14784
---
12. 816 × 93
816 × 3 =
→ 6×3=18 → write 8, carry 1
→ 1×3=3 +1=4
→ 8×3=24 → so 2448
816 × 90 = 816 × 9 × 10
→ 6×9=54 → write 4, carry 5
→ 1×9=9 +5=14 → write 4, carry 1
→ 8×9=72 +1=73 → so 7344, add zero → 73440
Add:
2448
+73440
= 75888
✔ Check: 816 × 93 = 75888
---
Final Answer:
1. 36182
2. 30488
3. 69355
4. 15895
5. 87984
6. 61766
7. 18810
8. 59904
9. 42558
10. 53496
11. 14784
12. 75888
---
1. 458 × 79
First, multiply 458 × 9 =
→ 8×9=72 → write 2, carry 7
→ 5×9=45 +7=52 → write 2, carry 5
→ 4×9=36 +5=41 → so 4122
Then, multiply 458 × 70 = 458 × 7 × 10
→ 8×7=56 → write 6, carry 5
→ 5×7=35 +5=40 → write 0, carry 4
→ 4×7=28 +4=32 → so 3206, then add a zero → 32060
Now add:
4122
+32060
= 36182
✔ Check: 458 × 79 = 36182
---
2. 824 × 37
824 × 7 =
→ 4×7=28 → write 8, carry 2
→ 2×7=14 +2=16 → write 6, carry 1
→ 8×7=56 +1=57 → so 5768
824 × 30 = 824 × 3 × 10
→ 4×3=12 → write 2, carry 1
→ 2×3=6 +1=7
→ 8×3=24 → so 2472, add zero → 24720
Add:
5768
+24720
= 30488
✔ Check: 824 × 37 = 30488
---
3. 715 × 97
715 × 7 =
→ 5×7=35 → write 5, carry 3
→ 1×7=7 +3=10 → write 0, carry 1
→ 7×7=49 +1=50 → so 5005
715 × 90 = 715 × 9 × 10
→ 5×9=45 → write 5, carry 4
→ 1×9=9 +4=13 → write 3, carry 1
→ 7×9=63 +1=64 → so 6435, add zero → 64350
Add:
5005
+64350
= 69355
✔ Check: 715 × 97 = 69355
---
4. 187 × 85
187 × 5 =
→ 7×5=35 → write 5, carry 3
→ 8×5=40 +3=43 → write 3, carry 4
→ 1×5=5 +4=9 → so 935
187 × 80 = 187 × 8 × 10
→ 7×8=56 → write 6, carry 5
→ 8×8=64 +5=69 → write 9, carry 6
→ 1×8=8 +6=14 → so 1496, add zero → 14960
Add:
935
+14960
= 15895
✔ Check: 187 × 85 = 15895
---
5. 936 × 94
936 × 4 =
→ 6×4=24 → write 4, carry 2
→ 3×4=12 +2=14 → write 4, carry 1
→ 9×4=36 +1=37 → so 3744
936 × 90 = 936 × 9 × 10
→ 6×9=54 → write 4, carry 5
→ 3×9=27 +5=32 → write 2, carry 3
→ 9×9=81 +3=84 → so 8424, add zero → 84240
Add:
3744
+84240
= 87984
✔ Check: 936 × 94 = 87984
---
6. 694 × 89
694 × 9 =
→ 4×9=36 → write 6, carry 3
→ 9×9=81 +3=84 → write 4, carry 8
→ 6×9=54 +8=62 → so 6246
694 × 80 = 694 × 8 × 10
→ 4×8=32 → write 2, carry 3
→ 9×8=72 +3=75 → write 5, carry 7
→ 6×8=48 +7=55 → so 5552, add zero → 55520
Add:
6246
+55520
= 61766
✔ Check: 694 × 89 = 61766
---
7. 418 × 45
418 × 5 =
→ 8×5=40 → write 0, carry 4
→ 1×5=5 +4=9
→ 4×5=20 → so 2090
418 × 40 = 418 × 4 × 10
→ 8×4=32 → write 2, carry 3
→ 1×4=4 +3=7
→ 4×4=16 → so 1672, add zero → 16720
Add:
2090
+16720
= 18810
✔ Check: 418 × 45 = 18810
---
8. 624 × 96
624 × 6 =
→ 4×6=24 → write 4, carry 2
→ 2×6=12 +2=14 → write 4, carry 1
→ 6×6=36 +1=37 → so 3744
624 × 90 = 624 × 9 × 10
→ 4×9=36 → write 6, carry 3
→ 2×9=18 +3=21 → write 1, carry 2
→ 6×9=54 +2=56 → so 5616, add zero → 56160
Add:
3744
+56160
= 59904
✔ Check: 624 × 96 = 59904
---
9. 519 × 82
519 × 2 =
→ 9×2=18 → write 8, carry 1
→ 1×2=2 +1=3
→ 5×2=10 → so 1038
519 × 80 = 519 × 8 × 10
→ 9×8=72 → write 2, carry 7
→ 1×8=8 +7=15 → write 5, carry 1
→ 5×8=40 +1=41 → so 4152, add zero → 41520
Add:
1038
+41520
= 42558
✔ Check: 519 × 82 = 42558
---
10. 743 × 72
743 × 2 =
→ 3×2=6
→ 4×2=8
→ 7×2=14 → so 1486
743 × 70 = 743 × 7 × 10
→ 3×7=21 → write 1, carry 2
→ 4×7=28 +2=30 → write 0, carry 3
→ 7×7=49 +3=52 → so 5201, add zero → 52010
Add:
1486
+52010
= 53496
✔ Check: 743 × 72 = 53496
---
11. 336 × 44
336 × 4 =
→ 6×4=24 → write 4, carry 2
→ 3×4=12 +2=14 → write 4, carry 1
→ 3×4=12 +1=13 → so 1344
336 × 40 = same as above but add zero → 13440
Add:
1344
+13440
= 14784
✔ Check: 336 × 44 = 14784
---
12. 816 × 93
816 × 3 =
→ 6×3=18 → write 8, carry 1
→ 1×3=3 +1=4
→ 8×3=24 → so 2448
816 × 90 = 816 × 9 × 10
→ 6×9=54 → write 4, carry 5
→ 1×9=9 +5=14 → write 4, carry 1
→ 8×9=72 +1=73 → so 7344, add zero → 73440
Add:
2448
+73440
= 75888
✔ Check: 816 × 93 = 75888
---
Final Answer:
1. 36182
2. 30488
3. 69355
4. 15895
5. 87984
6. 61766
7. 18810
8. 59904
9. 42558
10. 53496
11. 14784
12. 75888
Parent Tip: Review the logic above to help your child master the concept of multiplication worksheet for 5th graders.