Let's solve each multiplication problem in the worksheet step by step. The task is to multiply numbers up to 12 by 12.
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Worksheet: Multiplying up to 12 by 12 (A)
We'll go through each row and compute the results.
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Row 1
- $12 \times 7 = 84$
- $12 \times 7 = 84$
- $12 \times 4 = 48$
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Row 2
- $2 \times 12 = 24$
- $12 \times 12 = 144$
- $12 \times 10 = 120$
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Row 3
- $5 \times 12 = 60$
- $12 \times 12 = 144$
- $11 \times 12 = 132$
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Row 4
- $12 \times 2 = 24$
- $12 \times 1 = 12$
- $1 \times 12 = 12$
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Row 5
- $12 \times 12 = 144$
- $12 \times 1 = 12$
- $7 \times 12 = 84$
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Row 6
- $12 \times 1 = 12$
- $7 \times 12 = 84$
- $10 \times 12 = 120$
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Row 7
- $0 \times 12 = 0$
- $12 \times 12 = 144$
- $0 \times 12 = 0$
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Row 8
- $11 \times 12 = 132$
- $6 \times 12 = 72$
- $0 \times 12 = 0$
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Row 9
- $8 \times 12 = 96$
- $12 \times 8 = 96$
- $4 \times 12 = 48$
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Row 10
- $12 \times 7 = 84$
- $0 \times 12 = 0$
- $11 \times 12 = 132$
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Row 11
- $1 \times 12 = 12$
- $9 \times 12 = 108$
- $12 \times 9 = 108$
####
Row 12
- $12 \times 5 = 60$
- $10 \times 12 = 120$
- $7 \times 12 = 84$
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✔ Final Answer Key:
```
12 x 7 = 84 12 x 7 = 84 12 x 4 = 48
2 x 12 = 24 12 x 12 = 144 12 x 10 = 120
5 x 12 = 60 12 x 12 = 144 11 x 12 = 132
12 x 2 = 24 12 x 1 = 12 1 x 12 = 12
12 x 12 = 144 12 x 1 = 12 7 x 12 = 84
12 x 1 = 12 7 x 12 = 84 10 x 12 = 120
0 x 12 = 0 12 x 12 = 144 0 x 12 = 0
11 x 12 = 132 6 x 12 = 72 0 x 12 = 0
8 x 12 = 96 12 x 8 = 96 4 x 12 = 48
12 x 7 = 84 0 x 12 = 0 11 x 12 = 132
1 x 12 = 12 9 x 12 = 108 12 x 9 = 108
12 x 5 = 60 10 x 12 = 120 7 x 12 = 84
```
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🔍 Explanation:
- This worksheet practices multiplication facts from $0 \times 12$ up to $12 \times 12$.
- Key patterns:
- Any number times 0 is 0.
- Multiplying by 1 gives the number itself.
- Multiplying by 12 can be thought of as $10 \times \text{number} + 2 \times \text{number}$.
For example: $12 \times 7 = (10 \times 7) + (2 \times 7) = 70 + 14 = 84$.
- The commutative property applies: $a \times b = b \times a$, so $12 \times 7 = 7 \times 12 = 84$.
This helps build fluency with multiplication tables, especially for the 12s, which are often more challenging.
✔ All answers are correct and consistent with basic multiplication rules.
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of multiplication worksheet 0 12.