Let's solve each multiplication problem step by step. Here are the problems from the worksheet:
---
Row 1:
1. $ 21 \times 21 $
- Break it down: $ (20 + 1) \times (20 + 1) $
- Use distributive property:
$$
= 21 \times 20 + 21 \times 1 = 420 + 21 = 441
$$
-
Answer: 441
2. $ 41 \times 22 $
- Break it down: $ 41 \times (20 + 2) $
- $ 41 \times 20 = 820 $
- $ 41 \times 2 = 82 $
- Add: $ 820 + 82 = 902 $
-
Answer: 902
3. $ 33 \times 10 $
- Multiplying by 10: just add a zero.
- $ 33 \times 10 = 330 $
-
Answer: 330
4. $ 71 \times 11 $
- Use trick: $ 71 \times 11 = 71 \times (10 + 1) = 710 + 71 = 781 $
-
Answer: 781
---
Row 2:
5. $ 80 \times 10 $
- $ 80 \times 10 = 800 $
-
Answer: 800
6. $ 54 \times 12 $
- Break: $ 54 \times (10 + 2) $
- $ 54 \times 10 = 540 $
- $ 54 \times 2 = 108 $
- Add: $ 540 + 108 = 648 $
-
Answer: 648
7. $ 43 \times 20 $
- $ 43 \times 20 = 43 \times 2 \times 10 = 86 \times 10 = 860 $
-
Answer: 860
8. $ 63 \times 12 $
- $ 63 \times (10 + 2) = 630 + 126 = 756 $
-
Answer: 756
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Row 3:
9. $ 44 \times 22 $
- $ 44 \times 20 = 880 $
- $ 44 \times 2 = 88 $
- Total: $ 880 + 88 = 968 $
-
Answer: 968
10. $ 30 \times 21 $
- $ 30 \times 20 = 600 $
- $ 30 \times 1 = 30 $
- Total: $ 600 + 30 = 630 $
-
Answer: 630
11. $ 31 \times 66 $
- Use standard multiplication:
$$
\begin{array}{r}
31 \\
\times 66 \\
\hline
186 \quad \text{(31 × 6)} \\
1860 \quad \text{(31 × 60, shifted left)} \\
\hline
2046 \\
\end{array}
$$
-
Answer: 2046
12. $ 51 \times 18 $
- $ 51 \times 10 = 510 $
- $ 51 \times 8 = 408 $
- Total: $ 510 + 408 = 918 $
-
Answer: 918
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Row 4:
13. $ 24 \times 12 $
- $ 24 \times 10 = 240 $
- $ 24 \times 2 = 48 $
- Total: $ 240 + 48 = 288 $
-
Answer: 288
14. $ 45 \times 11 $
- $ 45 \times 10 = 450 $
- $ 45 \times 1 = 45 $
- Total: $ 450 + 45 = 495 $
-
Answer: 495
15. $ 90 \times 10 $
- $ 90 \times 10 = 900 $
-
Answer: 900
16. $ 54 \times 32 $
- Break: $ 54 \times (30 + 2) $
- $ 54 \times 30 = 1620 $
- $ 54 \times 2 = 108 $
- Total: $ 1620 + 108 = 1728 $
-
Answer: 1728
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✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 21 × 21 |
441 |
| 41 × 22 |
902 |
| 33 × 10 |
330 |
| 71 × 11 |
781 |
| 80 × 10 |
800 |
| 54 × 12 |
648 |
| 43 × 20 |
860 |
| 63 × 12 |
756 |
| 44 × 22 |
968 |
| 30 × 21 |
630 |
| 31 × 66 |
2046 |
| 51 × 18 |
918 |
| 24 × 12 |
288 |
| 45 × 11 |
495 |
| 90 × 10 |
900 |
| 54 × 32 |
1728 |
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✔ All problems solved! Let me know if you'd like a printable version or explanation for any specific one.
Parent Tip: Review the logic above to help your child master the concept of 2 x 2 multiplication worksheet.