Problem Overview:
The task involves solving a series of multiplication problems involving integers. The rules for multiplying integers are as follows:
1.
Positive × Positive = Positive
2.
Negative × Negative = Positive
3.
Positive × Negative = Negative
4.
Negative × Positive = Negative
We will solve each problem step by step using these rules.
---
Solution:
####
Problems 1–8:
1.
-4 × 3 =
- Rule: Negative × Positive = Negative
- Calculation: \( 4 \times 3 = 12 \)
- Answer:
-12
2.
-9 × -5 =
- Rule: Negative × Negative = Positive
- Calculation: \( 9 \times 5 = 45 \)
- Answer:
45
3.
8 × -12 =
- Rule: Positive × Negative = Negative
- Calculation: \( 8 \times 12 = 96 \)
- Answer:
-96
4.
13 × -4 =
- Rule: Positive × Negative = Negative
- Calculation: \( 13 \times 4 = 52 \)
- Answer:
-52
5.
-12 × -7 =
- Rule: Negative × Negative = Positive
- Calculation: \( 12 \times 7 = 84 \)
- Answer:
84
6.
6 × -12 =
- Rule: Positive × Negative = Negative
- Calculation: \( 6 \times 12 = 72 \)
- Answer:
-72
7.
4 × -21 =
- Rule: Positive × Negative = Negative
- Calculation: \( 4 \times 21 = 84 \)
- Answer:
-84
8.
15 × -7 =
- Rule: Positive × Negative = Negative
- Calculation: \( 15 \times 7 = 105 \)
- Answer:
-105
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####
Problems 9–16:
9.
13 × -8 =
- Rule: Positive × Negative = Negative
- Calculation: \( 13 \times 8 = 104 \)
- Answer:
-104
10.
15 × -12 =
- Rule: Positive × Negative = Negative
- Calculation: \( 15 \times 12 = 180 \)
- Answer:
-180
11.
2 × -14 =
- Rule: Positive × Negative = Negative
- Calculation: \( 2 \times 14 = 28 \)
- Answer:
-28
12.
18 × -3 =
- Rule: Positive × Negative = Negative
- Calculation: \( 18 \times 3 = 54 \)
- Answer:
-54
13.
-4 × -12 =
- Rule: Negative × Negative = Positive
- Calculation: \( 4 \times 12 = 48 \)
- Answer:
48
14.
9 × -6 =
- Rule: Positive × Negative = Negative
- Calculation: \( 9 \times 6 = 54 \)
- Answer:
-54
15.
12 × -8 =
- Rule: Positive × Negative = Negative
- Calculation: \( 12 \times 8 = 96 \)
- Answer:
-96
16.
13 × -7 =
- Rule: Positive × Negative = Negative
- Calculation: \( 13 \times 7 = 91 \)
- Answer:
-91
---
Final Answers:
1.
-12
2.
45
3.
-96
4.
-52
5.
84
6.
-72
7.
-84
8.
-105
9.
-104
10.
-180
11.
-28
12.
-54
13.
48
14.
-54
15.
-96
16.
-91
---
Boxed Final Answer:
\[
\boxed{
\begin{array}{ll}
1. & -12 \\
2. & 45 \\
3. & -96 \\
4. & -52 \\
5. & 84 \\
6. & -72 \\
7. & -84 \\
8. & -105 \\
9. & -104 \\
10. & -180 \\
11. & -28 \\
12. & -54 \\
13. & 48 \\
14. & -54 \\
15. & -96 \\
16. & -91 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of multiplying and dividing integers worksheets.
