Printable two-digit by one-digit multiplication practice worksheet for math drills.
A worksheet titled "Two-Digit by One-Digit Multiplication (J)" featuring multiple multiplication problems with two-digit numbers multiplied by one-digit numbers.
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Show Answer Key & Explanations
Step-by-step solution for: Math Worksheets For 4th Grade Multiplication | Multiplication ...
▼
Show Answer Key & Explanations
Step-by-step solution for: Math Worksheets For 4th Grade Multiplication | Multiplication ...
Let's solve each of the two-digit by one-digit multiplication problems in the worksheet step by step. I'll go through each row and compute the result for every problem.
---
1. $ 47 \times 9 = (40 + 7) \times 9 = 40 \times 9 + 7 \times 9 = 360 + 63 = 423 $
2. $ 45 \times 6 = (40 + 5) \times 6 = 240 + 30 = 270 $
3. $ 17 \times 7 = (10 + 7) \times 7 = 70 + 49 = 119 $
4. $ 31 \times 2 = 62 $
5. $ 29 \times 3 = (20 + 9) \times 3 = 60 + 27 = 87 $
6. $ 99 \times 1 = 99 $
7. $ 94 \times 3 = (90 + 4) \times 3 = 270 + 12 = 282 $
8. $ 60 \times 5 = 300 $
✔ Row 1: 423, 270, 119, 62, 87, 99, 282, 300
---
1. $ 28 \times 2 = 56 $
2. $ 26 \times 1 = 26 $
3. $ 48 \times 9 = (40 + 8) \times 9 = 360 + 72 = 432 $
4. $ 31 \times 7 = (30 + 1) \times 7 = 210 + 7 = 217 $
5. $ 51 \times 4 = (50 + 1) \times 4 = 200 + 4 = 204 $
6. $ 65 \times 8 = (60 + 5) \times 8 = 480 + 40 = 520 $
7. $ 87 \times 4 = (80 + 7) \times 4 = 320 + 28 = 348 $
8. $ 81 \times 8 = (80 + 1) \times 8 = 640 + 8 = 648 $
✔ Row 2: 56, 26, 432, 217, 204, 520, 348, 648
---
1. $ 52 \times 6 = (50 + 2) \times 6 = 300 + 12 = 312 $
2. $ 70 \times 5 = 350 $
3. $ 86 \times 3 = (80 + 6) \times 3 = 240 + 18 = 258 $
4. $ 14 \times 5 = 70 $
5. $ 66 \times 4 = (60 + 6) \times 4 = 240 + 24 = 264 $
6. $ 87 \times 1 = 87 $
7. $ 37 \times 3 = (30 + 7) \times 3 = 90 + 21 = 111 $
8. $ 82 \times 5 = (80 + 2) \times 5 = 400 + 10 = 410 $
✔ Row 3: 312, 350, 258, 70, 264, 87, 111, 410
---
1. $ 76 \times 6 = (70 + 6) \times 6 = 420 + 36 = 456 $
2. $ 16 \times 1 = 16 $
3. $ 42 \times 5 = 210 $
4. $ 71 \times 8 = (70 + 1) \times 8 = 560 + 8 = 568 $
5. $ 64 \times 2 = 128 $
6. $ 39 \times 8 = (30 + 9) \times 8 = 240 + 72 = 312 $
7. $ 63 \times 6 = (60 + 3) \times 6 = 360 + 18 = 378 $
8. $ 28 \times 6 = (20 + 8) \times 6 = 120 + 48 = 168 $
✔ Row 4: 456, 16, 210, 568, 128, 312, 378, 168
---
1. $ 12 \times 3 = 36 $
2. $ 15 \times 3 = 45 $
3. $ 58 \times 6 = (50 + 8) \times 6 = 300 + 48 = 348 $
4. $ 44 \times 5 = 220 $
5. $ 60 \times 1 = 60 $
6. $ 80 \times 6 = 480 $
7. $ 66 \times 8 = (60 + 6) \times 8 = 480 + 48 = 528 $
8. $ 79 \times 7 = (70 + 9) \times 7 = 490 + 63 = 553 $
✔ Row 5: 36, 45, 348, 220, 60, 480, 528, 553
---
1. $ 11 \times 5 = 55 $
2. $ 49 \times 6 = (40 + 9) \times 6 = 240 + 54 = 294 $
3. $ 73 \times 2 = 146 $
4. $ 33 \times 7 = (30 + 3) \times 7 = 210 + 21 = 231 $
5. $ 19 \times 9 = (10 + 9) \times 9 = 90 + 81 = 171 $
6. $ 74 \times 9 = (70 + 4) \times 9 = 630 + 36 = 666 $
7. $ 16 \times 1 = 16 $
8. $ 15 \times 4 = 60 $
✔ Row 6: 55, 294, 146, 231, 171, 666, 16, 60
---
1. $ 20 \times 8 = 160 $
2. $ 71 \times 1 = 71 $
3. $ 11 \times 7 = 77 $
4. $ 90 \times 2 = 180 $
5. $ 42 \times 3 = 126 $
6. $ 100 \times 7 = 700 $
7. $ 51 \times 6 = (50 + 1) \times 6 = 300 + 6 = 306 $
8. $ 99 \times 2 = 198 $
✔ Row 7: 160, 71, 77, 180, 126, 700, 306, 198
---
1. $ 69 \times 7 = (60 + 9) \times 7 = 420 + 63 = 483 $
2. $ 69 \times 7 = 483 $ (same as above)
3. $ 60 \times 6 = 360 $
4. $ 99 \times 1 = 99 $
5. $ 21 \times 3 = 63 $
6. $ 56 \times 7 = (50 + 6) \times 7 = 350 + 42 = 392 $
7. $ 39 \times 4 = (30 + 9) \times 4 = 120 + 36 = 156 $
8. $ 57 \times 6 = (50 + 7) \times 6 = 300 + 42 = 342 $
✔ Row 8: 483, 483, 360, 99, 63, 392, 156, 342
---
Here are all the solutions in order:
```
Row 1: 423, 270, 119, 62, 87, 99, 282, 300
Row 2: 56, 26, 432, 217, 204, 520, 348, 648
Row 3: 312, 350, 258, 70, 264, 87, 111, 410
Row 4: 456, 16, 210, 568, 128, 312, 378, 168
Row 5: 36, 45, 348, 220, 60, 480, 528, 553
Row 6: 55, 294, 146, 231, 171, 666, 16, 60
Row 7: 160, 71, 77, 180, 126, 700, 306, 198
Row 8: 483, 483, 360, 99, 63, 392, 156, 342
```
---
Each problem is a two-digit number multiplied by a one-digit number. The strategy used here is distributive property:
$$
(a + b) \times c = a \times c + b \times c
$$
For example:
- $ 47 \times 9 = (40 + 7) \times 9 = 40 \times 9 + 7 \times 9 = 360 + 63 = 423 $
This method helps break down larger multiplications into simpler parts.
You can verify any answer using a calculator or by standard multiplication.
Let me know if you'd like this formatted as a printable answer key!
---
Row 1:
1. $ 47 \times 9 = (40 + 7) \times 9 = 40 \times 9 + 7 \times 9 = 360 + 63 = 423 $
2. $ 45 \times 6 = (40 + 5) \times 6 = 240 + 30 = 270 $
3. $ 17 \times 7 = (10 + 7) \times 7 = 70 + 49 = 119 $
4. $ 31 \times 2 = 62 $
5. $ 29 \times 3 = (20 + 9) \times 3 = 60 + 27 = 87 $
6. $ 99 \times 1 = 99 $
7. $ 94 \times 3 = (90 + 4) \times 3 = 270 + 12 = 282 $
8. $ 60 \times 5 = 300 $
✔ Row 1: 423, 270, 119, 62, 87, 99, 282, 300
---
Row 2:
1. $ 28 \times 2 = 56 $
2. $ 26 \times 1 = 26 $
3. $ 48 \times 9 = (40 + 8) \times 9 = 360 + 72 = 432 $
4. $ 31 \times 7 = (30 + 1) \times 7 = 210 + 7 = 217 $
5. $ 51 \times 4 = (50 + 1) \times 4 = 200 + 4 = 204 $
6. $ 65 \times 8 = (60 + 5) \times 8 = 480 + 40 = 520 $
7. $ 87 \times 4 = (80 + 7) \times 4 = 320 + 28 = 348 $
8. $ 81 \times 8 = (80 + 1) \times 8 = 640 + 8 = 648 $
✔ Row 2: 56, 26, 432, 217, 204, 520, 348, 648
---
Row 3:
1. $ 52 \times 6 = (50 + 2) \times 6 = 300 + 12 = 312 $
2. $ 70 \times 5 = 350 $
3. $ 86 \times 3 = (80 + 6) \times 3 = 240 + 18 = 258 $
4. $ 14 \times 5 = 70 $
5. $ 66 \times 4 = (60 + 6) \times 4 = 240 + 24 = 264 $
6. $ 87 \times 1 = 87 $
7. $ 37 \times 3 = (30 + 7) \times 3 = 90 + 21 = 111 $
8. $ 82 \times 5 = (80 + 2) \times 5 = 400 + 10 = 410 $
✔ Row 3: 312, 350, 258, 70, 264, 87, 111, 410
---
Row 4:
1. $ 76 \times 6 = (70 + 6) \times 6 = 420 + 36 = 456 $
2. $ 16 \times 1 = 16 $
3. $ 42 \times 5 = 210 $
4. $ 71 \times 8 = (70 + 1) \times 8 = 560 + 8 = 568 $
5. $ 64 \times 2 = 128 $
6. $ 39 \times 8 = (30 + 9) \times 8 = 240 + 72 = 312 $
7. $ 63 \times 6 = (60 + 3) \times 6 = 360 + 18 = 378 $
8. $ 28 \times 6 = (20 + 8) \times 6 = 120 + 48 = 168 $
✔ Row 4: 456, 16, 210, 568, 128, 312, 378, 168
---
Row 5:
1. $ 12 \times 3 = 36 $
2. $ 15 \times 3 = 45 $
3. $ 58 \times 6 = (50 + 8) \times 6 = 300 + 48 = 348 $
4. $ 44 \times 5 = 220 $
5. $ 60 \times 1 = 60 $
6. $ 80 \times 6 = 480 $
7. $ 66 \times 8 = (60 + 6) \times 8 = 480 + 48 = 528 $
8. $ 79 \times 7 = (70 + 9) \times 7 = 490 + 63 = 553 $
✔ Row 5: 36, 45, 348, 220, 60, 480, 528, 553
---
Row 6:
1. $ 11 \times 5 = 55 $
2. $ 49 \times 6 = (40 + 9) \times 6 = 240 + 54 = 294 $
3. $ 73 \times 2 = 146 $
4. $ 33 \times 7 = (30 + 3) \times 7 = 210 + 21 = 231 $
5. $ 19 \times 9 = (10 + 9) \times 9 = 90 + 81 = 171 $
6. $ 74 \times 9 = (70 + 4) \times 9 = 630 + 36 = 666 $
7. $ 16 \times 1 = 16 $
8. $ 15 \times 4 = 60 $
✔ Row 6: 55, 294, 146, 231, 171, 666, 16, 60
---
Row 7:
1. $ 20 \times 8 = 160 $
2. $ 71 \times 1 = 71 $
3. $ 11 \times 7 = 77 $
4. $ 90 \times 2 = 180 $
5. $ 42 \times 3 = 126 $
6. $ 100 \times 7 = 700 $
7. $ 51 \times 6 = (50 + 1) \times 6 = 300 + 6 = 306 $
8. $ 99 \times 2 = 198 $
✔ Row 7: 160, 71, 77, 180, 126, 700, 306, 198
---
Row 8:
1. $ 69 \times 7 = (60 + 9) \times 7 = 420 + 63 = 483 $
2. $ 69 \times 7 = 483 $ (same as above)
3. $ 60 \times 6 = 360 $
4. $ 99 \times 1 = 99 $
5. $ 21 \times 3 = 63 $
6. $ 56 \times 7 = (50 + 6) \times 7 = 350 + 42 = 392 $
7. $ 39 \times 4 = (30 + 9) \times 4 = 120 + 36 = 156 $
8. $ 57 \times 6 = (50 + 7) \times 6 = 300 + 42 = 342 $
✔ Row 8: 483, 483, 360, 99, 63, 392, 156, 342
---
✔ Final Answer Summary:
Here are all the solutions in order:
```
Row 1: 423, 270, 119, 62, 87, 99, 282, 300
Row 2: 56, 26, 432, 217, 204, 520, 348, 648
Row 3: 312, 350, 258, 70, 264, 87, 111, 410
Row 4: 456, 16, 210, 568, 128, 312, 378, 168
Row 5: 36, 45, 348, 220, 60, 480, 528, 553
Row 6: 55, 294, 146, 231, 171, 666, 16, 60
Row 7: 160, 71, 77, 180, 126, 700, 306, 198
Row 8: 483, 483, 360, 99, 63, 392, 156, 342
```
---
🔍 Explanation:
Each problem is a two-digit number multiplied by a one-digit number. The strategy used here is distributive property:
$$
(a + b) \times c = a \times c + b \times c
$$
For example:
- $ 47 \times 9 = (40 + 7) \times 9 = 40 \times 9 + 7 \times 9 = 360 + 63 = 423 $
This method helps break down larger multiplications into simpler parts.
You can verify any answer using a calculator or by standard multiplication.
Let me know if you'd like this formatted as a printable answer key!
Parent Tip: Review the logic above to help your child master the concept of free printable math worksheet for 4th grade multiplication.