4 and 5 Digit Multiplication Worksheets - Free Printable
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Step-by-step solution for: 4 and 5 Digit Multiplication Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: 4 and 5 Digit Multiplication Worksheets
Let’s solve each multiplication problem step by step.
We are multiplying 4-digit numbers by 4-digit numbers. We’ll do them one at a time, carefully.
---
Problem 1: 35196 × 1935
Wait — that’s a 5-digit number! But the worksheet says “4 and 5 Digit by 4 Digit Multiplication”. So maybe it’s okay.
Actually, looking again:
First problem is:
35196 × 1935
But 35196 is 5 digits, 1935 is 4 digits → valid per title.
Let me compute:
We can break it down:
35196 × 1935 = 35196 × (2000 - 65) = 35196×2000 - 35196×65
But maybe easier to do standard multiplication.
Alternatively, use calculator-style step-by-step:
But since we’re doing this manually for accuracy, let’s do:
Actually, I’ll compute each one using careful multiplication.
But to save time and ensure accuracy, I’ll compute each product precisely.
---
I’ll compute each:
1. 35196 × 1935
Let me compute:
35196 × 1935
Break 1935 into 1000 + 900 + 30 + 5
So:
35196 × 1000 = 35,196,000
35196 × 900 = 35196 × 9 × 100 = (316,764) × 100 = 31,676,400
35196 × 30 = 1,055,880
35196 × 5 = 175,980
Now add them:
35,196,000
+31,676,400 → 66,872,400
+1,055,880 → 67,928,280
+175,980 → 68,104,260
✔ Answer 1: 68,104,260
---
2. 12124 × 15623
Both 5-digit? Wait, 12124 is 5-digit, 15623 is 5-digit — but worksheet says “4 and 5 Digit by 4 Digit” — so maybe typo? Or perhaps some are 5x5?
Looking back at image description: Problem 2 is “12124 x 15623” — both 5-digit.
But let’s proceed as given.
Compute 12124 × 15623
This is big. Let me use another method.
Or accept that we need to calculate accurately.
Actually, let me use a different approach — perhaps I made a mistake earlier.
Wait — let me double-check problem 1.
35196 × 1935
Let me verify with another way:
35196 × 1935
Do 35196 × 2000 = 70,392,000
Minus 35196 × 65
35196 × 65 = 35196 × 60 + 35196 × 5 = 2,111,760 + 175,980 = 2,287,740
So 70,392,000 - 2,287,740 = 68,104,260 → same as before. Good.
Now problem 2: 12124 × 15623
Let me compute:
12124 × 15623
Break 15623 = 15000 + 600 + 20 + 3
12124 × 15000 = 12124 × 15 × 1000 = (181,860) × 1000 = 181,860,000
12124 × 600 = 7,274,400
12124 × 20 = 242,480
12124 × 3 = 36,372
Add:
181,860,000
+7,274,400 → 189,134,400
+242,480 → 189,376,880
+36,372 → 189,413,252
✔ Answer 2: 189,413,252
---
3. 47655 × 1282
47655 × 1282
Break 1282 = 1000 + 200 + 80 + 2
47655 × 1000 = 47,655,000
47655 × 200 = 9,531,000
47655 × 80 = 3,812,400
47655 × 2 = 95,310
Add:
47,655,000
+9,531,000 → 57,186,000
+3,812,400 → 60,998,400
+95,310 → 61,093,710
✔ Answer 3: 61,093,710
---
4. 24356 × 4562
24356 × 4562
Break 4562 = 4000 + 500 + 60 + 2
24356 × 4000 = 97,424,000
24356 × 500 = 12,178,000
24356 × 60 = 1,461,360
24356 × 2 = 48,712
Add:
97,424,000
+12,178,000 → 109,602,000
+1,461,360 → 111,063,360
+48,712 → 111,112,072
✔ Answer 4: 111,112,072
---
5. 42547 × 14782
42547 × 14782
This is big. Let me break 14782 = 10000 + 4000 + 700 + 80 + 2
42547 × 10000 = 425,470,000
42547 × 4000 = 170,188,000
42547 × 700 = 29,782,900
42547 × 80 = 3,403,760
42547 × 2 = 85,094
Add step by step:
425,470,000
+170,188,000 → 595,658,000
+29,782,900 → 625,440,900
+3,403,760 → 628,844,660
+85,094 → 628,929,754
✔ Answer 5: 628,929,754
---
6. 67588 × 2932
67588 × 2932
Break 2932 = 2000 + 900 + 30 + 2
67588 × 2000 = 135,176,000
67588 × 900 = 60,829,200
67588 × 30 = 2,027,640
67588 × 2 = 135,176
Add:
135,176,000
+60,829,200 → 196,005,200
+2,027,640 → 198,032,840
+135,176 → 198,168,016
✔ Answer 6: 198,168,016
---
7. 26847 × 3422
26847 × 3422
Break 3422 = 3000 + 400 + 20 + 2
26847 × 3000 = 80,541,000
26847 × 400 = 10,738,800
26847 × 20 = 536,940
26847 × 2 = 53,694
Add:
80,541,000
+10,738,800 → 91,279,800
+536,940 → 91,816,740
+53,694 → 91,870,434
✔ Answer 7: 91,870,434
---
8. 34933 × 1353
34933 × 1353
Break 1353 = 1000 + 300 + 50 + 3
34933 × 1000 = 34,933,000
34933 × 300 = 10,479,900
34933 × 50 = 1,746,650
34933 × 3 = 104,799
Add:
34,933,000
+10,479,900 → 45,412,900
+1,746,650 → 47,159,550
+104,799 → 47,264,349
✔ Answer 8: 47,264,349
---
9. 14672 × 17364
14672 × 17364
Break 17364 = 10000 + 7000 + 300 + 60 + 4
14672 × 10000 = 146,720,000
14672 × 7000 = 102,704,000
14672 × 300 = 4,401,600
14672 × 60 = 880,320
14672 × 4 = 58,688
Add:
146,720,000
+102,704,000 → 249,424,000
+4,401,600 → 253,825,600
+880,320 → 254,705,920
+58,688 → 254,764,608
✔ Answer 9: 254,764,608
---
10. 29953 × 3121
29953 × 3121
Break 3121 = 3000 + 100 + 20 + 1
29953 × 3000 = 89,859,000
29953 × 100 = 2,995,300
29953 × 20 = 599,060
29953 × 1 = 29,953
Add:
89,859,000
+2,995,300 → 92,854,300
+599,060 → 93,453,360
+29,953 → 93,483,313
✔ Answer 10: 93,483,313
---
Final Answers:
1. 68,104,260
2. 189,413,252
3. 61,093,710
4. 111,112,072
5. 628,929,754
6. 198,168,016
7. 91,870,434
8. 47,264,349
9. 254,764,608
10. 93,483,313
Final Answer:
68104260, 189413252, 61093710, 111112072, 628929754, 198168016, 91870434, 47264349, 254764608, 93483313
We are multiplying 4-digit numbers by 4-digit numbers. We’ll do them one at a time, carefully.
---
Problem 1: 35196 × 1935
Wait — that’s a 5-digit number! But the worksheet says “4 and 5 Digit by 4 Digit Multiplication”. So maybe it’s okay.
Actually, looking again:
First problem is:
35196 × 1935
But 35196 is 5 digits, 1935 is 4 digits → valid per title.
Let me compute:
We can break it down:
35196 × 1935 = 35196 × (2000 - 65) = 35196×2000 - 35196×65
But maybe easier to do standard multiplication.
Alternatively, use calculator-style step-by-step:
But since we’re doing this manually for accuracy, let’s do:
Actually, I’ll compute each one using careful multiplication.
But to save time and ensure accuracy, I’ll compute each product precisely.
---
I’ll compute each:
1. 35196 × 1935
Let me compute:
35196 × 1935
Break 1935 into 1000 + 900 + 30 + 5
So:
35196 × 1000 = 35,196,000
35196 × 900 = 35196 × 9 × 100 = (316,764) × 100 = 31,676,400
35196 × 30 = 1,055,880
35196 × 5 = 175,980
Now add them:
35,196,000
+31,676,400 → 66,872,400
+1,055,880 → 67,928,280
+175,980 → 68,104,260
✔ Answer 1: 68,104,260
---
2. 12124 × 15623
Both 5-digit? Wait, 12124 is 5-digit, 15623 is 5-digit — but worksheet says “4 and 5 Digit by 4 Digit” — so maybe typo? Or perhaps some are 5x5?
Looking back at image description: Problem 2 is “12124 x 15623” — both 5-digit.
But let’s proceed as given.
Compute 12124 × 15623
This is big. Let me use another method.
Or accept that we need to calculate accurately.
Actually, let me use a different approach — perhaps I made a mistake earlier.
Wait — let me double-check problem 1.
35196 × 1935
Let me verify with another way:
35196 × 1935
Do 35196 × 2000 = 70,392,000
Minus 35196 × 65
35196 × 65 = 35196 × 60 + 35196 × 5 = 2,111,760 + 175,980 = 2,287,740
So 70,392,000 - 2,287,740 = 68,104,260 → same as before. Good.
Now problem 2: 12124 × 15623
Let me compute:
12124 × 15623
Break 15623 = 15000 + 600 + 20 + 3
12124 × 15000 = 12124 × 15 × 1000 = (181,860) × 1000 = 181,860,000
12124 × 600 = 7,274,400
12124 × 20 = 242,480
12124 × 3 = 36,372
Add:
181,860,000
+7,274,400 → 189,134,400
+242,480 → 189,376,880
+36,372 → 189,413,252
✔ Answer 2: 189,413,252
---
3. 47655 × 1282
47655 × 1282
Break 1282 = 1000 + 200 + 80 + 2
47655 × 1000 = 47,655,000
47655 × 200 = 9,531,000
47655 × 80 = 3,812,400
47655 × 2 = 95,310
Add:
47,655,000
+9,531,000 → 57,186,000
+3,812,400 → 60,998,400
+95,310 → 61,093,710
✔ Answer 3: 61,093,710
---
4. 24356 × 4562
24356 × 4562
Break 4562 = 4000 + 500 + 60 + 2
24356 × 4000 = 97,424,000
24356 × 500 = 12,178,000
24356 × 60 = 1,461,360
24356 × 2 = 48,712
Add:
97,424,000
+12,178,000 → 109,602,000
+1,461,360 → 111,063,360
+48,712 → 111,112,072
✔ Answer 4: 111,112,072
---
5. 42547 × 14782
42547 × 14782
This is big. Let me break 14782 = 10000 + 4000 + 700 + 80 + 2
42547 × 10000 = 425,470,000
42547 × 4000 = 170,188,000
42547 × 700 = 29,782,900
42547 × 80 = 3,403,760
42547 × 2 = 85,094
Add step by step:
425,470,000
+170,188,000 → 595,658,000
+29,782,900 → 625,440,900
+3,403,760 → 628,844,660
+85,094 → 628,929,754
✔ Answer 5: 628,929,754
---
6. 67588 × 2932
67588 × 2932
Break 2932 = 2000 + 900 + 30 + 2
67588 × 2000 = 135,176,000
67588 × 900 = 60,829,200
67588 × 30 = 2,027,640
67588 × 2 = 135,176
Add:
135,176,000
+60,829,200 → 196,005,200
+2,027,640 → 198,032,840
+135,176 → 198,168,016
✔ Answer 6: 198,168,016
---
7. 26847 × 3422
26847 × 3422
Break 3422 = 3000 + 400 + 20 + 2
26847 × 3000 = 80,541,000
26847 × 400 = 10,738,800
26847 × 20 = 536,940
26847 × 2 = 53,694
Add:
80,541,000
+10,738,800 → 91,279,800
+536,940 → 91,816,740
+53,694 → 91,870,434
✔ Answer 7: 91,870,434
---
8. 34933 × 1353
34933 × 1353
Break 1353 = 1000 + 300 + 50 + 3
34933 × 1000 = 34,933,000
34933 × 300 = 10,479,900
34933 × 50 = 1,746,650
34933 × 3 = 104,799
Add:
34,933,000
+10,479,900 → 45,412,900
+1,746,650 → 47,159,550
+104,799 → 47,264,349
✔ Answer 8: 47,264,349
---
9. 14672 × 17364
14672 × 17364
Break 17364 = 10000 + 7000 + 300 + 60 + 4
14672 × 10000 = 146,720,000
14672 × 7000 = 102,704,000
14672 × 300 = 4,401,600
14672 × 60 = 880,320
14672 × 4 = 58,688
Add:
146,720,000
+102,704,000 → 249,424,000
+4,401,600 → 253,825,600
+880,320 → 254,705,920
+58,688 → 254,764,608
✔ Answer 9: 254,764,608
---
10. 29953 × 3121
29953 × 3121
Break 3121 = 3000 + 100 + 20 + 1
29953 × 3000 = 89,859,000
29953 × 100 = 2,995,300
29953 × 20 = 599,060
29953 × 1 = 29,953
Add:
89,859,000
+2,995,300 → 92,854,300
+599,060 → 93,453,360
+29,953 → 93,483,313
✔ Answer 10: 93,483,313
---
Final Answers:
1. 68,104,260
2. 189,413,252
3. 61,093,710
4. 111,112,072
5. 628,929,754
6. 198,168,016
7. 91,870,434
8. 47,264,349
9. 254,764,608
10. 93,483,313
Final Answer:
68104260, 189413252, 61093710, 111112072, 628929754, 198168016, 91870434, 47264349, 254764608, 93483313
Parent Tip: Review the logic above to help your child master the concept of 4 digit multiplication worksheet pdf.