Math worksheet for finding missing multiplicands in multiplication problems.
Worksheet titled "Missing Multiplicands" with math problems to find missing numbers in multiplication equations.
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Step-by-step solution for: Printable primary math worksheet for math grades 1 to 6 based on ...
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Show Answer Key & Explanations
Step-by-step solution for: Printable primary math worksheet for math grades 1 to 6 based on ...
Let's solve each of these multiplication problems to find the missing multiplicands. We are given equations in the form:
> $ a \times \boxed{?} = b $
We need to find the missing number (the multiplicand) by dividing both sides by the known multiplier:
> $ \boxed{?} = \frac{b}{a} $
We'll go through each row and column step-by-step.
---
1. $ 8 \times \boxed{?} = -24 $
→ $ \boxed{?} = \frac{-24}{8} = -3 $
2. $ \boxed{?} \times -2 = -14 $
→ $ \boxed{?} = \frac{-14}{-2} = 7 $
3. $ -9 \times \boxed{?} = 36 $
→ $ \boxed{?} = \frac{36}{-9} = -4 $
---
4. $ \boxed{?} \times -5 = 25 $
→ $ \boxed{?} = \frac{25}{-5} = -5 $
5. $ -3 \times \boxed{?} = 12 $
→ $ \boxed{?} = \frac{12}{-3} = -4 $
6. $ \boxed{?} \times -7 = 21 $
→ $ \boxed{?} = \frac{21}{-7} = -3 $
---
7. $ 10 \times \boxed{?} = -50 $
→ $ \boxed{?} = \frac{-50}{10} = -5 $
8. $ \boxed{?} \times -3 = 30 $
→ $ \boxed{?} = \frac{30}{-3} = -10 $
9. $ 8 \times \boxed{?} = -56 $
→ $ \boxed{?} = \frac{-56}{8} = -7 $
---
10. $ \boxed{?} \times -2 = 18 $
→ $ \boxed{?} = \frac{18}{-2} = -9 $
11. $ 8 \times \boxed{?} = -48 $
→ $ \boxed{?} = \frac{-48}{8} = -6 $
12. $ \boxed{?} \times -1 = 5 $
→ $ \boxed{?} = \frac{5}{-1} = -5 $
---
13. $ -6 \times \boxed{?} = 36 $
→ $ \boxed{?} = \frac{36}{-6} = -6 $
14. $ \boxed{?} \times 4 = -40 $
→ $ \boxed{?} = \frac{-40}{4} = -10 $
15. $ -5 \times \boxed{?} = 25 $
→ $ \boxed{?} = \frac{25}{-5} = -5 $
---
16. $ \boxed{?} \times -7 = -21 $
→ $ \boxed{?} = \frac{-21}{-7} = 3 $
17. $ -5 \times \boxed{?} = -15 $
→ $ \boxed{?} = \frac{-15}{-5} = 3 $
18. $ \boxed{?} \times -8 = -56 $
→ $ \boxed{?} = \frac{-56}{-8} = 7 $
---
19. $ -4 \times \boxed{?} = -12 $
→ $ \boxed{?} = \frac{-12}{-4} = 3 $
20. $ \boxed{?} \times 7 = -42 $
→ $ \boxed{?} = \frac{-42}{7} = -6 $
21. $ 9 \times \boxed{?} = -18 $
→ $ \boxed{?} = \frac{-18}{9} = -2 $
---
22. $ \boxed{?} \times -8 = -16 $
→ $ \boxed{?} = \frac{-16}{-8} = 2 $
23. $ -2 \times \boxed{?} = 10 $
→ $ \boxed{?} = \frac{10}{-2} = -5 $
24. $ \boxed{?} \times -7 = 14 $
→ $ \boxed{?} = \frac{14}{-7} = -2 $
---
25. $ -8 \times \boxed{?} = 56 $
→ $ \boxed{?} = \frac{56}{-8} = -7 $
26. $ \boxed{?} \times -6 = -18 $
→ $ \boxed{?} = \frac{-18}{-6} = 3 $
27. $ 10 \times \boxed{?} = -80 $
→ $ \boxed{?} = \frac{-80}{10} = -8 $
---
28. $ \boxed{?} \times -8 = 80 $
→ $ \boxed{?} = \frac{80}{-8} = -10 $
29. $ -8 \times \boxed{?} = -24 $
→ $ \boxed{?} = \frac{-24}{-8} = 3 $
30. $ \boxed{?} \times -9 = -27 $
→ $ \boxed{?} = \frac{-27}{-9} = 3 $
---
```
Row 1: -3, 7, -4
Row 2: -5, -4, -3
Row 3: -5, -10, -7
Row 4: -9, -6, -5
Row 5: -6, -10, -5
Row 6: 3, 3, 7
Row 7: 3, -6, -2
Row 8: 2, -5, -2
Row 9: -7, 3, -8
Row10: -10, 3, 3
```
---
```
8 x [-3] = -24 [7] x -2 = -14 -9 x [-4] = 36
[-5] x -5 = 25 -3 x [-4] = 12 [-3] x -7 = 21
10 x [-5] = -50 [-10] x -3 = 30 8 x [-7] = -56
[-9] x -2 = 18 8 x [-6] = -48 [-5] x -1 = 5
-6 x [-6] = 36 [-10] x 4 = -40 -5 x [-5] = 25
[3] x -7 = -21 -5 x [3] = -15 [7] x -8 = -56
-4 x [3] = -12 [-6] x 7 = -42 9 x [-2] = -18
[2] x -8 = -16 -2 x [-5] = 10 [-2] x -7 = 14
-8 x [-7] = 56 [3] x -6 = -18 10 x [-8] = -80
[-10] x -8 = 80 -8 x [3] = -24 [3] x -9 = -27
```
✔ All answers have been verified.
Let me know if you'd like this formatted as a printable answer sheet!
> $ a \times \boxed{?} = b $
We need to find the missing number (the multiplicand) by dividing both sides by the known multiplier:
> $ \boxed{?} = \frac{b}{a} $
We'll go through each row and column step-by-step.
---
Row 1
1. $ 8 \times \boxed{?} = -24 $
→ $ \boxed{?} = \frac{-24}{8} = -3 $
2. $ \boxed{?} \times -2 = -14 $
→ $ \boxed{?} = \frac{-14}{-2} = 7 $
3. $ -9 \times \boxed{?} = 36 $
→ $ \boxed{?} = \frac{36}{-9} = -4 $
---
Row 2
4. $ \boxed{?} \times -5 = 25 $
→ $ \boxed{?} = \frac{25}{-5} = -5 $
5. $ -3 \times \boxed{?} = 12 $
→ $ \boxed{?} = \frac{12}{-3} = -4 $
6. $ \boxed{?} \times -7 = 21 $
→ $ \boxed{?} = \frac{21}{-7} = -3 $
---
Row 3
7. $ 10 \times \boxed{?} = -50 $
→ $ \boxed{?} = \frac{-50}{10} = -5 $
8. $ \boxed{?} \times -3 = 30 $
→ $ \boxed{?} = \frac{30}{-3} = -10 $
9. $ 8 \times \boxed{?} = -56 $
→ $ \boxed{?} = \frac{-56}{8} = -7 $
---
Row 4
10. $ \boxed{?} \times -2 = 18 $
→ $ \boxed{?} = \frac{18}{-2} = -9 $
11. $ 8 \times \boxed{?} = -48 $
→ $ \boxed{?} = \frac{-48}{8} = -6 $
12. $ \boxed{?} \times -1 = 5 $
→ $ \boxed{?} = \frac{5}{-1} = -5 $
---
Row 5
13. $ -6 \times \boxed{?} = 36 $
→ $ \boxed{?} = \frac{36}{-6} = -6 $
14. $ \boxed{?} \times 4 = -40 $
→ $ \boxed{?} = \frac{-40}{4} = -10 $
15. $ -5 \times \boxed{?} = 25 $
→ $ \boxed{?} = \frac{25}{-5} = -5 $
---
Row 6
16. $ \boxed{?} \times -7 = -21 $
→ $ \boxed{?} = \frac{-21}{-7} = 3 $
17. $ -5 \times \boxed{?} = -15 $
→ $ \boxed{?} = \frac{-15}{-5} = 3 $
18. $ \boxed{?} \times -8 = -56 $
→ $ \boxed{?} = \frac{-56}{-8} = 7 $
---
Row 7
19. $ -4 \times \boxed{?} = -12 $
→ $ \boxed{?} = \frac{-12}{-4} = 3 $
20. $ \boxed{?} \times 7 = -42 $
→ $ \boxed{?} = \frac{-42}{7} = -6 $
21. $ 9 \times \boxed{?} = -18 $
→ $ \boxed{?} = \frac{-18}{9} = -2 $
---
Row 8
22. $ \boxed{?} \times -8 = -16 $
→ $ \boxed{?} = \frac{-16}{-8} = 2 $
23. $ -2 \times \boxed{?} = 10 $
→ $ \boxed{?} = \frac{10}{-2} = -5 $
24. $ \boxed{?} \times -7 = 14 $
→ $ \boxed{?} = \frac{14}{-7} = -2 $
---
Row 9
25. $ -8 \times \boxed{?} = 56 $
→ $ \boxed{?} = \frac{56}{-8} = -7 $
26. $ \boxed{?} \times -6 = -18 $
→ $ \boxed{?} = \frac{-18}{-6} = 3 $
27. $ 10 \times \boxed{?} = -80 $
→ $ \boxed{?} = \frac{-80}{10} = -8 $
---
Row 10
28. $ \boxed{?} \times -8 = 80 $
→ $ \boxed{?} = \frac{80}{-8} = -10 $
29. $ -8 \times \boxed{?} = -24 $
→ $ \boxed{?} = \frac{-24}{-8} = 3 $
30. $ \boxed{?} \times -9 = -27 $
→ $ \boxed{?} = \frac{-27}{-9} = 3 $
---
✔ Final Answers (in order):
```
Row 1: -3, 7, -4
Row 2: -5, -4, -3
Row 3: -5, -10, -7
Row 4: -9, -6, -5
Row 5: -6, -10, -5
Row 6: 3, 3, 7
Row 7: 3, -6, -2
Row 8: 2, -5, -2
Row 9: -7, 3, -8
Row10: -10, 3, 3
```
---
✔ Complete Answer Grid:
```
8 x [-3] = -24 [7] x -2 = -14 -9 x [-4] = 36
[-5] x -5 = 25 -3 x [-4] = 12 [-3] x -7 = 21
10 x [-5] = -50 [-10] x -3 = 30 8 x [-7] = -56
[-9] x -2 = 18 8 x [-6] = -48 [-5] x -1 = 5
-6 x [-6] = 36 [-10] x 4 = -40 -5 x [-5] = 25
[3] x -7 = -21 -5 x [3] = -15 [7] x -8 = -56
-4 x [3] = -12 [-6] x 7 = -42 9 x [-2] = -18
[2] x -8 = -16 -2 x [-5] = 10 [-2] x -7 = 14
-8 x [-7] = 56 [3] x -6 = -18 10 x [-8] = -80
[-10] x -8 = 80 -8 x [3] = -24 [3] x -9 = -27
```
✔ All answers have been verified.
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 printable integer worksheet.