Multiplication practice worksheet with two-digit numbers.

You’ve uploaded a multiplication worksheet with 24 problems — all are two-digit by two-digit multiplications. I’ll solve each one and explain the process.

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✔ How to Multiply Two-Digit Numbers (Standard Algorithm)

To multiply two 2-digit numbers, like `AB × CD`:

1. Multiply the top number by the ones digit of the bottom number.
2. Multiply the top number by the tens digit of the bottom number (shift one place left).
3. Add the two partial products.

Example:
35 × 40

Step 1: 35 × 0 = 0
Step 2: 35 × 40 → actually, think of it as 35 × 4 = 140, then add a zero → 1400
Step 3: 0 + 1400 = 1400

Alternatively, since 40 = 4×10, you can do 35×4=140, then ×10 → 1400

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## 🔢 SOLUTIONS TO ALL 24 PROBLEMS

I’ll list them row by row as they appear on the worksheet.

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Row 1:

1. 35 × 40 = 1,400
→ 35 × 4 = 140 → ×10 = 1,400

2. 21 × 54 = 1,134
→ 21 × 4 = 84; 21 × 50 = 1,050 → 84 + 1,050 = 1,134

3. 81 × 99 = 8,019
→ 81 × 100 = 8,100 minus 81 = 8,019
*(or: 81×90=7,290; 81×9=729 → 7,290+729=8,019)*

4. 89 × 25 = 2,225
→ 89 × 100 ÷ 4 = 8,900 ÷ 4 = 2,225
*(or: 89×20=1,780; 89×5=445 → 1,780+445=2,225)*

5. 85 × 59 = 5,015
→ 85 × 60 = 5,100 minus 85 = 5,015

6. 81 × 60 = 4,860
→ 81 × 6 = 486 → ×10 = 4,860

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Row 2:

7. 16 × 73 = 1,168
→ 16 × 70 = 1,120; 16 × 3 = 48 → 1,120 + 48 = 1,168

8. 97 × 78 = 7,566
→ 97 × 80 = 7,760 minus 97×2=194 → 7,760 - 194 = 7,566

9. 39 × 21 = 819
→ 39 × 20 = 780; 39 × 1 = 39 → 780 + 39 = 819

10. 57 × 48 = 2,736
→ 57 × 50 = 2,850 minus 57×2=114 → 2,850 - 114 = 2,736

11. 25 × 67 = 1,675
→ 25 × 60 = 1,500; 25 × 7 = 175 → 1,500 + 175 = 1,675

12. 10 × 47 = 470
→ Easy: just add a zero → 470

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Row 3:

13. 58 × 26 = 1,508
→ 58 × 20 = 1,160; 58 × 6 = 348 → 1,160 + 348 = 1,508

14. 41 × 97 = 3,977
→ 41 × 100 = 4,100 minus 41×3=123 → 4,100 - 123 = 3,977

15. 41 × 85 = 3,485
→ 41 × 80 = 3,280; 41 × 5 = 205 → 3,280 + 205 = 3,485

16. 10 × 23 = 230
→ Add zero → 230

17. 41 × 98 = 4,018
→ 41 × 100 = 4,100 minus 41×2=82 → 4,100 - 82 = 4,018

18. 16 × 74 = 1,184
→ 16 × 70 = 1,120; 16 × 4 = 64 → 1,120 + 64 = 1,184

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Row 4:

19. 54 × 81 = 4,374
→ 54 × 80 = 4,320; 54 × 1 = 54 → 4,320 + 54 = 4,374

20. 84 × 36 = 3,024
→ 84 × 30 = 2,520; 84 × 6 = 504 → 2,520 + 504 = 3,024

21. 39 × 93 = 3,627
→ 39 × 90 = 3,510; 39 × 3 = 117 → 3,510 + 117 = 3,627

22. 46 × 68 = 3,128
→ 46 × 70 = 3,220 minus 46×2=92 → 3,220 - 92 = 3,128

23. 44 × 18 = 792
→ 44 × 20 = 880 minus 44×2=88 → 880 - 88 = 792

24. 10 × 62 = 620
→ Add zero → 620

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## 📋 Final Answer Key (Listed in Order):

1. 1,400
2. 1,134
3. 8,019
4. 2,225
5. 5,015
6. 4,860
7. 1,168
8. 7,566
9. 819
10. 2,736
11. 1,675
12. 470
13. 1,508
14. 3,977
15. 3,485
16. 230
17. 4,018
18. 1,184
19. 4,374
20. 3,024
21. 3,627
22. 3,128
23. 792
24. 620

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✔ Tips for Students:

- Use the distributive property: e.g., `a × (b + c) = a×b + a×c`
- Break numbers into tens and ones: e.g., 25 × 67 = 25×60 + 25×7
- Look for shortcuts: multiplying by 10, 25, 50, 99, etc.

Let me know if you want this as a printable answer key or need step-by-step work shown for any specific problem!