Let's solve the multiplication problems involving positive and negative integers step by step. The key rule to remember is:
-
Positive × Positive = Positive
-
Negative × Negative = Positive
-
Positive × Negative = Negative
-
Negative × Positive = Negative
We'll apply this rule to each problem.
---
Problem 1:
7 × (-3) = ?
→ Positive × Negative = Negative
7 × 3 = 21 → So, answer is
-21
✔ Answer: -21 (negative)
---
Problem 2:
5 × 6 = ?
→ Positive × Positive = Positive
5 × 6 = 30
✔ Answer: 30 (positive)
---
Problem 3:
-8 × 3 = ?
→ Negative × Positive = Negative
8 × 3 = 24 → So, answer is
-24
✔ Answer: -24 (negative)
---
Problem 4:
-2 × 18 = ?
→ Negative × Positive = Negative
2 × 18 = 36 → So, answer is
-36
✔ Answer: -36 (negative)
---
Problem 5:
-4 × (-11) = ?
→ Negative × Negative = Positive
4 × 11 = 44 → So, answer is
+44
✔ Answer: 44 (positive)
---
Problem 6:
9 × 7 = ?
→ Positive × Positive = Positive
9 × 7 = 63
✔ Answer: 63 (positive)
---
Problem 7:
-12 × 6 = ?
→ Negative × Positive = Negative
12 × 6 = 72 → So, answer is
-72
✔ Answer: -72 (negative)
---
Problem 8:
-15 × (-4) = ?
→ Negative × Negative = Positive
15 × 4 = 60 → So, answer is
+60
✔ Answer: 60 (positive)
---
Problem 9:
-1 × (-13) = ?
→ Negative × Negative = Positive
1 × 13 = 13 → So, answer is
+13
✔ Answer: 13 (positive)
---
Problem 10:
7 × (-8) = ?
→ Positive × Negative = Negative
7 × 8 = 56 → So, answer is
-56
✔ Answer: -56 (negative)
---
Problem 11:
-16 × (-21) = ?
→ Negative × Negative = Positive
16 × 21 = 336 → So, answer is
+336
✔ Answer: 336 (positive)
---
Final Answers:
| Problem | Answer | Sign |
|--------|--------|------|
| 1. 7 × (-3) | -21 | negative |
| 2. 5 × 6 | 30 | positive |
| 3. -8 × 3 | -24 | negative |
| 4. -2 × 18 | -36 | negative |
| 5. -4 × (-11) | 44 | positive |
| 6. 9 × 7 | 63 | positive |
| 7. -12 × 6 | -72 | negative |
| 8. -15 × (-4) | 60 | positive |
| 9. -1 × (-13) | 13 | positive |
| 10. 7 × (-8) | -56 | negative |
| 11. -16 × (-21) | 336 | positive |
✔ All answers are correct based on the rules of multiplying signed integers.
Let me know if you'd like this formatted as a printable worksheet or need explanations for any specific step!
Parent Tip: Review the logic above to help your child master the concept of multiplying integers worksheet 7th grade.