Missing Numbers in Equations (Blanks) -- Multiplication (Range 1 ... - Free Printable
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Step-by-step solution for: Missing Numbers in Equations (Blanks) -- Multiplication (Range 1 ...
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Show Answer Key & Explanations
Step-by-step solution for: Missing Numbers in Equations (Blanks) -- Multiplication (Range 1 ...
Let's solve each equation step by step. The goal is to find the missing number in each multiplication equation. We'll use division to find the missing factor since:
> If:
> $$
> a \times b = c
> $$
> Then:
> $$
> b = \frac{c}{a} \quad \text{(if } a \text{ is known)}
> $$
We’ll go row by row and fill in the blanks.
---
1. $ \_ \times 4 = 16 $ → $ \frac{16}{4} = 4 $ → 4
2. $ \_ \times 6 = 6 $ → $ \frac{6}{6} = 1 $ → 1
3. $ 9 \times \_ = 9 $ → $ \frac{9}{9} = 1 $ → 1
4. $ \_ \times 6 = 12 $ → $ \frac{12}{6} = 2 $ → 2
---
5. $ 7 \times \_ = 21 $ → $ \frac{21}{7} = 3 $ → 3
6. $ 6 \times \_ = 54 $ → $ \frac{54}{6} = 9 $ → 9
7. $ 4 \times \_ = 24 $ → $ \frac{24}{4} = 6 $ → 6
8. $ \_ \times 5 = 5 $ → $ \frac{5}{5} = 1 $ → 1
---
9. $ 8 \times \_ = 32 $ → $ \frac{32}{8} = 4 $ → 4
10. $ 2 \times \_ = 2 $ → $ \frac{2}{2} = 1 $ → 1
11. $ \_ \times 9 = 18 $ → $ \frac{18}{9} = 2 $ → 2
12. $ \_ \times 8 = 16 $ → $ \frac{16}{8} = 2 $ → 2
---
13. $ 4 \times \_ = 36 $ → $ \frac{36}{4} = 9 $ → 9
14. $ 4 \times \_ = 32 $ → $ \frac{32}{4} = 8 $ → 8
15. $ \_ \times 9 = 27 $ → $ \frac{27}{9} = 3 $ → 3
16. $ \_ \times 6 = 12 $ → $ \frac{12}{6} = 2 $ → 2
---
17. $ 1 \times \_ = 6 $ → $ \frac{6}{1} = 6 $ → 6
18. $ 4 \times \_ = 32 $ → $ \frac{32}{4} = 8 $ → 8
19. $ \_ \times 9 = 63 $ → $ \frac{63}{9} = 7 $ → 7
20. $ 1 \times \_ = 8 $ → $ \frac{8}{1} = 8 $ → 8
---
21. $ \_ \times 5 = 35 $ → $ \frac{35}{5} = 7 $ → 7
22. $ \_ \times 2 = 12 $ → $ \frac{12}{2} = 6 $ → 6
23. $ \_ \times 9 = 27 $ → $ \frac{27}{9} = 3 $ → 3
24. $ \_ \times 2 = 14 $ → $ \frac{14}{2} = 7 $ → 7
---
25. $ 4 \times \_ = 36 $ → $ \frac{36}{4} = 9 $ → 9
26. $ 4 \times \_ = 32 $ → $ \frac{32}{4} = 8 $ → 8
27. $ 3 \times \_ = 18 $ → $ \frac{18}{3} = 6 $ → 6
28. $ 8 \times \_ = 32 $ → $ \frac{32}{8} = 4 $ → 4
---
29. $ 9 \times \_ = 36 $ → $ \frac{36}{9} = 4 $ → 4
30. $ 5 \times \_ = 15 $ → $ \frac{15}{5} = 3 $ → 3
31. $ 6 \times \_ = 12 $ → $ \frac{12}{6} = 2 $ → 2
32. $ 2 \times \_ = 6 $ → $ \frac{6}{2} = 3 $ → 3
---
33. $ 4 \times \_ = 8 $ → $ \frac{8}{4} = 2 $ → 2
34. $ \_ \times 8 = 72 $ → $ \frac{72}{8} = 9 $ → 9
35. $ 6 \times \_ = 30 $ → $ \frac{30}{6} = 5 $ → 5
36. $ 6 \times \_ = 48 $ → $ \frac{48}{6} = 8 $ → 8
---
37. $ \_ \times 5 = 40 $ → $ \frac{40}{5} = 8 $ → 8
38. $ \_ \times 5 = 10 $ → $ \frac{10}{5} = 2 $ → 2
39. $ \_ \times 7 = 56 $ → $ \frac{56}{7} = 8 $ → 8
40. $ \_ \times 5 = 35 $ → $ \frac{35}{5} = 7 $ → 7
---
```
4 × 4 = 16 1 × 6 = 6 9 × 1 = 9 2 × 6 = 12
7 × 3 = 21 6 × 9 = 54 4 × 6 = 24 1 × 5 = 5
8 × 4 = 32 2 × 1 = 2 2 × 9 = 18 2 × 8 = 16
4 × 9 = 36 4 × 8 = 32 3 × 9 = 27 2 × 6 = 12
1 × 6 = 6 4 × 8 = 32 7 × 9 = 63 1 × 8 = 8
7 × 5 = 35 6 × 2 = 12 3 × 9 = 27 7 × 2 = 14
4 × 9 = 36 4 × 8 = 32 3 × 6 = 18 8 × 4 = 32
9 × 4 = 36 5 × 3 = 15 6 × 2 = 12 2 × 3 = 6
4 × 2 = 8 9 × 8 = 72 6 × 5 = 30 6 × 8 = 48
8 × 5 = 40 2 × 5 = 10 8 × 7 = 56 7 × 5 = 35
```
---
- For each equation, we used division to isolate the missing number.
- Example: If $ x \times 6 = 12 $, then $ x = 12 \div 6 = 2 $
- This works because multiplication and division are inverse operations.
✔ All equations are now solved! Let me know if you'd like this as a printable or formatted version.
> If:
> $$
> a \times b = c
> $$
> Then:
> $$
> b = \frac{c}{a} \quad \text{(if } a \text{ is known)}
> $$
We’ll go row by row and fill in the blanks.
---
Row 1
1. $ \_ \times 4 = 16 $ → $ \frac{16}{4} = 4 $ → 4
2. $ \_ \times 6 = 6 $ → $ \frac{6}{6} = 1 $ → 1
3. $ 9 \times \_ = 9 $ → $ \frac{9}{9} = 1 $ → 1
4. $ \_ \times 6 = 12 $ → $ \frac{12}{6} = 2 $ → 2
---
Row 2
5. $ 7 \times \_ = 21 $ → $ \frac{21}{7} = 3 $ → 3
6. $ 6 \times \_ = 54 $ → $ \frac{54}{6} = 9 $ → 9
7. $ 4 \times \_ = 24 $ → $ \frac{24}{4} = 6 $ → 6
8. $ \_ \times 5 = 5 $ → $ \frac{5}{5} = 1 $ → 1
---
Row 3
9. $ 8 \times \_ = 32 $ → $ \frac{32}{8} = 4 $ → 4
10. $ 2 \times \_ = 2 $ → $ \frac{2}{2} = 1 $ → 1
11. $ \_ \times 9 = 18 $ → $ \frac{18}{9} = 2 $ → 2
12. $ \_ \times 8 = 16 $ → $ \frac{16}{8} = 2 $ → 2
---
Row 4
13. $ 4 \times \_ = 36 $ → $ \frac{36}{4} = 9 $ → 9
14. $ 4 \times \_ = 32 $ → $ \frac{32}{4} = 8 $ → 8
15. $ \_ \times 9 = 27 $ → $ \frac{27}{9} = 3 $ → 3
16. $ \_ \times 6 = 12 $ → $ \frac{12}{6} = 2 $ → 2
---
Row 5
17. $ 1 \times \_ = 6 $ → $ \frac{6}{1} = 6 $ → 6
18. $ 4 \times \_ = 32 $ → $ \frac{32}{4} = 8 $ → 8
19. $ \_ \times 9 = 63 $ → $ \frac{63}{9} = 7 $ → 7
20. $ 1 \times \_ = 8 $ → $ \frac{8}{1} = 8 $ → 8
---
Row 6
21. $ \_ \times 5 = 35 $ → $ \frac{35}{5} = 7 $ → 7
22. $ \_ \times 2 = 12 $ → $ \frac{12}{2} = 6 $ → 6
23. $ \_ \times 9 = 27 $ → $ \frac{27}{9} = 3 $ → 3
24. $ \_ \times 2 = 14 $ → $ \frac{14}{2} = 7 $ → 7
---
Row 7
25. $ 4 \times \_ = 36 $ → $ \frac{36}{4} = 9 $ → 9
26. $ 4 \times \_ = 32 $ → $ \frac{32}{4} = 8 $ → 8
27. $ 3 \times \_ = 18 $ → $ \frac{18}{3} = 6 $ → 6
28. $ 8 \times \_ = 32 $ → $ \frac{32}{8} = 4 $ → 4
---
Row 8
29. $ 9 \times \_ = 36 $ → $ \frac{36}{9} = 4 $ → 4
30. $ 5 \times \_ = 15 $ → $ \frac{15}{5} = 3 $ → 3
31. $ 6 \times \_ = 12 $ → $ \frac{12}{6} = 2 $ → 2
32. $ 2 \times \_ = 6 $ → $ \frac{6}{2} = 3 $ → 3
---
Row 9
33. $ 4 \times \_ = 8 $ → $ \frac{8}{4} = 2 $ → 2
34. $ \_ \times 8 = 72 $ → $ \frac{72}{8} = 9 $ → 9
35. $ 6 \times \_ = 30 $ → $ \frac{30}{6} = 5 $ → 5
36. $ 6 \times \_ = 48 $ → $ \frac{48}{6} = 8 $ → 8
---
Row 10
37. $ \_ \times 5 = 40 $ → $ \frac{40}{5} = 8 $ → 8
38. $ \_ \times 5 = 10 $ → $ \frac{10}{5} = 2 $ → 2
39. $ \_ \times 7 = 56 $ → $ \frac{56}{7} = 8 $ → 8
40. $ \_ \times 5 = 35 $ → $ \frac{35}{5} = 7 $ → 7
---
✔ Final Answer (Filled-in Blanks):
```
4 × 4 = 16 1 × 6 = 6 9 × 1 = 9 2 × 6 = 12
7 × 3 = 21 6 × 9 = 54 4 × 6 = 24 1 × 5 = 5
8 × 4 = 32 2 × 1 = 2 2 × 9 = 18 2 × 8 = 16
4 × 9 = 36 4 × 8 = 32 3 × 9 = 27 2 × 6 = 12
1 × 6 = 6 4 × 8 = 32 7 × 9 = 63 1 × 8 = 8
7 × 5 = 35 6 × 2 = 12 3 × 9 = 27 7 × 2 = 14
4 × 9 = 36 4 × 8 = 32 3 × 6 = 18 8 × 4 = 32
9 × 4 = 36 5 × 3 = 15 6 × 2 = 12 2 × 3 = 6
4 × 2 = 8 9 × 8 = 72 6 × 5 = 30 6 × 8 = 48
8 × 5 = 40 2 × 5 = 10 8 × 7 = 56 7 × 5 = 35
```
---
🔍 Explanation:
- For each equation, we used division to isolate the missing number.
- Example: If $ x \times 6 = 12 $, then $ x = 12 \div 6 = 2 $
- This works because multiplication and division are inverse operations.
✔ All equations are now solved! Let me know if you'd like this as a printable or formatted version.
Parent Tip: Review the logic above to help your child master the concept of blank multiplication worksheet.