Multiplication Worksheets: (2-Digit by 1-Digit Math Drills) - DIY ... - Free Printable

You're working on a multiplication worksheet that asks you to multiply 2-digit numbers by 9. This is great practice for mastering the 9s multiplication table and improving your multi-digit multiplication skills.

I’ll solve all 25 problems step-by-step and then give you the final answers in a clean list for easy checking or filling in.

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📝 How to Multiply a 2-Digit Number by 9

There are several ways:
- Standard algorithm: Multiply the ones digit by 9, then the tens digit by 9 (with place value), then add.
- Use distributive property: e.g., `14 × 9 = (10 + 4) × 9 = 10×9 + 4×9 = 90 + 36 = 126`
- Trick for multiplying by 9: For any number × 9, you can think of it as `(number × 10) - number`.
Example: `14 × 9 = (14 × 10) - 14 = 140 - 14 = 126`

We’ll use the standard algorithm for clarity.

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## ✔ Solved Problems:

Row 1:

1. 14 × 9
- 4 × 9 = 36 → write 6, carry 3
- 1 × 9 = 9 + 3 = 12 → write 12
- Answer: 126

2. 28 × 9
- 8 × 9 = 72 → write 2, carry 7
- 2 × 9 = 18 + 7 = 25 → write 25
- Answer: 252

3. 17 × 9
- 7 × 9 = 63 → write 3, carry 6
- 1 × 9 = 9 + 6 = 15 → write 15
- Answer: 153

4. 89 × 9
- 9 × 9 = 81 → write 1, carry 8
- 8 × 9 = 72 + 8 = 80 → write 80
- Answer: 801

5. 12 × 9
- 2 × 9 = 18 → write 8, carry 1
- 1 × 9 = 9 + 1 = 10 → write 10
- Answer: 108

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Row 2:

6. 35 × 9
- 5 × 9 = 45 → write 5, carry 4
- 3 × 9 = 27 + 4 = 31 → write 31
- Answer: 315

7. 39 × 9
- 9 × 9 = 81 → write 1, carry 8
- 3 × 9 = 27 + 8 = 35 → write 35
- Answer: 351

8. 67 × 9
- 7 × 9 = 63 → write 3, carry 6
- 6 × 9 = 54 + 6 = 60 → write 60
- Answer: 603

9. 18 × 9
- 8 × 9 = 72 → write 2, carry 7
- 1 × 9 = 9 + 7 = 16 → write 16
- Answer: 162

10. 33 × 9
- 3 × 9 = 27 → write 7, carry 2
- 3 × 9 = 27 + 2 = 29 → write 29
- Answer: 297

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Row 3:

11. 23 × 9
- 3 × 9 = 27 → write 7, carry 2
- 2 × 9 = 18 + 2 = 20 → write 20
- Answer: 207

12. 51 × 9
- 1 × 9 = 9 → write 9
- 5 × 9 = 45 → write 45
- Answer: 459

13. 45 × 9
- 5 × 9 = 45 → write 5, carry 4
- 4 × 9 = 36 + 4 = 40 → write 40
- Answer: 405

14. 70 × 9
- 0 × 9 = 0
- 7 × 9 = 63 → write 630
- Answer: 630

15. 70 × 9 (again)
- Same as above → Answer: 630

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Row 4:

16. 84 × 9
- 4 × 9 = 36 → write 6, carry 3
- 8 × 9 = 72 + 3 = 75 → write 75
- Answer: 756

17. 22 × 9
- 2 × 9 = 18 → write 8, carry 1
- 2 × 9 = 18 + 1 = 19 → write 19
- Answer: 198

18. 76 × 9
- 6 × 9 = 54 → write 4, carry 5
- 7 × 9 = 63 + 5 = 68 → write 68
- Answer: 684

19. 61 × 9
- 1 × 9 = 9
- 6 × 9 = 54 → write 549
- Answer: 549

20. 80 × 9
- 0 × 9 = 0
- 8 × 9 = 72 → write 720
- Answer: 720

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Row 5:

21. 87 × 9
- 7 × 9 = 63 → write 3, carry 6
- 8 × 9 = 72 + 6 = 78 → write 78
- Answer: 783

22. 25 × 9
- 5 × 9 = 45 → write 5, carry 4
- 2 × 9 = 18 + 4 = 22 → write 22
- Answer: 225

23. 70 × 9 (again)
- Answer: 630

24. 28 × 9 (again — same as #2)
- Answer: 252

25. 86 × 9
- 6 × 9 = 54 → write 4, carry 5
- 8 × 9 = 72 + 5 = 77 → write 77
- Answer: 774

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## 🎯 Final Answer Key (in order):

```
126, 252, 153, 801, 108,
315, 351, 603, 162, 297,
207, 459, 405, 630, 630,
756, 198, 684, 549, 720,
783, 225, 630, 252, 774
```

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## 💡 Tip for Checking Your Work

Remember: The sum of the digits of any multiple of 9 is also a multiple of 9!

Example:
- 126 → 1+2+6 = 9 ✓
- 801 → 8+0+1 = 9 ✓
- 774 → 7+7+4 = 18 → 1+8=9 ✓

This is a great way to verify your answers!

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✔ You’re all set! Just fill in the answers on your worksheet using this key. Happy multiplying! 🌈✨