Problem Overview:
The task involves solving a series of multiplication problems involving integers. The key rules to remember are:
1.
Product of two numbers with the same sign is positive.
2.
Product of two numbers with different signs is negative.
We will solve each problem step by step, applying these rules.
---
Solution:
####
Section 1: Problems 5–10
1.
5 × (−9)
- Signs: Different (positive and negative)
- Result: Negative
- Calculation: \( 5 \times 9 = 45 \)
- Answer:
−45
2.
−10 × (−3)
- Signs: Same (both negative)
- Result: Positive
- Calculation: \( 10 \times 3 = 30 \)
- Answer:
30
3.
−6 × (−3)
- Signs: Same (both negative)
- Result: Positive
- Calculation: \( 6 \times 3 = 18 \)
- Answer:
18
4.
11 × (−2)
- Signs: Different (positive and negative)
- Result: Negative
- Calculation: \( 11 \times 2 = 22 \)
- Answer:
−22
5.
1 × 10
- Signs: Same (both positive)
- Result: Positive
- Calculation: \( 1 \times 10 = 10 \)
- Answer:
10
6.
3 × 0
- Any number multiplied by 0 is 0.
- Answer:
0
####
Section 2: Problems 11–16
7.
−11 × (−8)
- Signs: Same (both negative)
- Result: Positive
- Calculation: \( 11 \times 8 = 88 \)
- Answer:
88
8.
−5 × (−4)
- Signs: Same (both negative)
- Result: Positive
- Calculation: \( 5 \times 4 = 20 \)
- Answer:
20
9.
3 × 5
- Signs: Same (both positive)
- Result: Positive
- Calculation: \( 3 \times 5 = 15 \)
- Answer:
15
10.
0 × 7
- Any number multiplied by 0 is 0.
- Answer:
0
11.
−6 × 9
- Signs: Different (negative and positive)
- Result: Negative
- Calculation: \( 6 \times 9 = 54 \)
- Answer:
−54
12.
−9 × 7
- Signs: Different (negative and positive)
- Result: Negative
- Calculation: \( 9 \times 7 = 63 \)
- Answer:
−63
####
Section 3: Problems 17–20
13.
−4 × (−6)
- Signs: Same (both negative)
- Result: Positive
- Calculation: \( 4 \times 6 = 24 \)
- Answer:
24
14.
11 × 4
- Signs: Same (both positive)
- Result: Positive
- Calculation: \( 11 \times 4 = 44 \)
- Answer:
44
15.
11 × (−8)
- Signs: Different (positive and negative)
- Result: Negative
- Calculation: \( 11 \times 8 = 88 \)
- Answer:
−88
16.
−5 × (−1)
- Signs: Same (both negative)
- Result: Positive
- Calculation: \( 5 \times 1 = 5 \)
- Answer:
5
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Final Answers:
1.
−45
2.
30
3.
18
4.
−22
5.
10
6.
0
7.
88
8.
20
9.
15
10.
0
11.
−54
12.
−63
13.
24
14.
44
15.
−88
16.
5
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Boxed Final Answer:
\[
\boxed{-45, 30, 18, -22, 10, 0, 88, 20, 15, 0, -54, -63, 24, 44, -88, 5}
\]
Parent Tip: Review the logic above to help your child master the concept of integers worksheet with answer key.
