Let's solve each of the
double-digit integer multiplication problems step by step, applying the rules for multiplying positive and negative integers:
🔹 Rules for Multiplying Integers:
-
Positive × Positive = Positive
-
Negative × Negative = Positive
-
Positive × Negative = Negative
-
Negative × Positive = Negative
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We’ll go through each row:
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Row 1:
1. $ 12 \times (-15) = -180 $
(Positive × Negative = Negative)
2. $ 66 \times (-12) = -792 $
(Positive × Negative = Negative)
3. $ 40 \times (-17) = -680 $
(Positive × Negative = Negative)
---
Row 2:
4. $ -22 \times 25 = -550 $
(Negative × Positive = Negative)
5. $ -33 \times 11 = -363 $
(Negative × Positive = Negative)
6. $ -20 \times (-20) = +400 $
(Negative × Negative = Positive)
---
Row 3:
7. $ -34 \times (-17) = +578 $
(Negative × Negative = Positive)
8. $ -25 \times 19 = -475 $
(Negative × Positive = Negative)
9. $ -45 \times 14 = -630 $
(Negative × Positive = Negative)
---
Row 4:
10. $ -14 \times 11 = -154 $
(Negative × Positive = Negative)
11. $ -36 \times (-22) = +792 $
(Negative × Negative = Positive)
12. $ 48 \times (-12) = -576 $
(Positive × Negative = Negative)
---
Row 5:
13. $ -31 \times (-15) = +465 $
(Negative × Negative = Positive)
14. $ 54 \times (-10) = -540 $
(Positive × Negative = Negative)
15. $ -55 \times (-12) = +660 $
(Negative × Negative = Positive)
---
Row 6:
16. $ 8 \times (-13) = -104 $
(Positive × Negative = Negative)
17. $ -35 \times 18 = -630 $
(Negative × Positive = Negative)
18. $ -42 \times (-23) = +966 $
(Negative × Negative = Positive)
---
Row 7:
19. $ -33 \times 13 = -429 $
(Negative × Positive = Negative)
20. $ -26 \times (-10) = +260 $
(Negative × Negative = Positive)
21. $ -20 \times 42 = -840 $
(Negative × Positive = Negative)
---
Row 8:
22. $ -25 \times 25 = -625 $
(Negative × Positive = Negative)
23. $ -32 \times (-19) = +608 $
(Negative × Negative = Positive)
24. $ 41 \times (-11) = -451 $
(Positive × Negative = Negative)
---
Row 9:
25. $ 12 \times (-12) = -144 $
(Positive × Negative = Negative)
26. $ -23 \times 21 = -483 $
(Negative × Positive = Negative)
27. $ -60 \times (-12) = +720 $
(Negative × Negative = Positive)
---
Row 10:
28. $ -17 \times (-17) = +289 $
(Negative × Negative = Positive)
29. $ -50 \times (-13) = +650 $
(Negative × Negative = Positive)
30. $ -61 \times 14 = -854 $
(Negative × Positive = Negative)
---
✔ Final Answers (in order):
```
1. -180
2. -792
3. -680
4. -550
5. -363
6. +400
7. +578
8. -475
9. -630
10. -154
11. +792
12. -576
13. +465
14. -540
15. +660
16. -104
17. -630
18. +966
19. -429
20. +260
21. -840
22. -625
23. +608
24. -451
25. -144
26. -483
27. +720
28. +289
29. +650
30. -854
```
---
📝 Summary:
All problems are solved using basic multiplication and sign rules.
✔ Tip: Always multiply the absolute values first, then apply the correct sign based on the rule above.
Let me know if you'd like this formatted as a printable answer key!
Parent Tip: Review the logic above to help your child master the concept of 6th grade math curriculum worksheet.