Multiplication Table (1 to 12) - Multiplication Facts Sheet - Free Printable

Let's solve the multiplication problems in the image. The title says "Multiplication by 0", which is a key concept in arithmetic.

🌟 Key Rule:

> Any number multiplied by 0 equals 0.
> That is:
> $$
> a \times 0 = 0 \quad \text{and} \quad 0 \times a = 0
> $$

The only exception is when you have $ 0 \times 1 $, but even then, it’s still $ 0 $. So, all of these will be zero — except one special case we’ll check.

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Now let’s go through each problem:

Row 1:

1. $ 1 \times 0 = 0 $
2. $ 0 \times 2 = 0 $
3. $ 0 \times 4 = 0 $
4. $ 6 \times 0 = 0 $
5. $ 0 \times 5 = 0 $

Row 2:

6. $ 0 \times 9 = 0 $
7. $ 7 \times 0 = 0 $
8. $ 3 \times 0 = 0 $
9. $ 0 \times 8 = 0 $
10. $ 0 \times 0 = 0 $

Row 3:

11. $ 5 \times 0 = 0 $
12. $ 0 \times 6 = 0 $
13. $ 0 \times 2 = 0 $
14. $ 0 \times 4 = 0 $
15. $ 0 \times 8 = 0 $

Row 4:

16. $ 7 \times 0 = 0 $
17. $ 3 \times 0 = 0 $
18. $ 0 \times 0 = 0 $
19. $ 9 \times 0 = 0 $
20. $ 9 \times 1 = 9 $ ← ⚠️ This is not multiplying by 0!

Wait! Here’s the only exception:
- $ 9 \times 1 = 9 $ → because it's not multiplied by 0.

All others involve a factor of 0, so they are all 0.

Row 5:

21. $ 0 \times 4 = 0 $
22. $ 7 \times 0 = 0 $
23. $ 0 \times 8 = 0 $
24. $ 2 \times 0 = 0 $
25. $ 0 \times 3 = 0 $

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✔ Final Answers (in order):

1. 0
2. 0
3. 0
4. 0
5. 0
6. 0
7. 0
8. 0
9. 0
10. 0
11. 0
12. 0
13. 0
14. 0
15. 0
16. 0
17. 0
18. 0
19. 0
20. 9 ← Only non-zero answer
21. 0
22. 0
23. 0
24. 0
25. 0

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🔍 Explanation:

- Multiplying any number by zero gives zero.
- But $ 9 \times 1 $ means "nine groups of one", which is just 9.
- So, this problem is testing understanding of the zero property of multiplication and catching the one trick question.

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✔ Summary:

> All answers are 0, except:
> - $ 9 \times 1 = 9 $

This helps reinforce that only when one of the factors is 0, the product is 0. If neither is zero, the result is not necessarily zero.

Let me know if you'd like this formatted as a worksheet with answers filled in!