Let's solve each of these multiplication problems involving positive and negative integers. We'll go step by step, applying the rules for multiplying signed numbers:
Rules for Multiplying Signed Numbers:
1.
Positive × Positive = Positive
2.
Negative × Negative = Positive
3.
Positive × Negative = Negative
4.
Any number × 0 = 0
---
Now let’s solve each problem:
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1) (+3) × (+7)
Same signs → Positive
=
+21
2) (+7) × (-2)
Different signs → Negative
=
-14
3) (+6) × (-2)
Different signs → Negative
=
-12
4) (+7) × (+6)
Same signs → Positive
=
+42
5) (-8) × (+6)
Different signs → Negative
=
-48
6) (+7) × (+9)
Same signs → Positive
=
+63
7) (+5) × (0)
Any number × 0 = 0
=
0
8) (-4) × (0)
Any number × 0 = 0
=
0
9) (-6) × (0)
Any number × 0 = 0
=
0
10) (0) × (+7)
Any number × 0 = 0
=
0
11) (+5) × (+4)
Same signs → Positive
=
+20
12) (+7) × (+5)
Same signs → Positive
=
+35
13) (+4) × (+2)
Same signs → Positive
=
+8
14) (0) × (-3)
Any number × 0 = 0
=
0
15) (-1) × (+5)
Different signs → Negative
=
-5
16) (0) × (+3)
Any number × 0 = 0
=
0
17) (-7) × (+4)
Different signs → Negative
=
-28
18) (+4) × (+8)
Same signs → Positive
=
+32
19) (0) × (-2)
Any number × 0 = 0
=
0
20) (+3) × (-5)
Different signs → Negative
=
-15
---
✔ Final Answers:
1) +21
2) -14
3) -12
4) +42
5) -48
6) +63
7) 0
8) 0
9) 0
10) 0
11) +20
12) +35
13) +8
14) 0
15) -5
16) 0
17) -28
18) +32
19) 0
20) -15
---
✔ Explanation Summary:
We used the sign rules for multiplication:
- Same signs → positive
- Different signs → negative
- Any number times zero is zero.
These are fundamental concepts in integer arithmetic.
Let me know if you'd like this formatted as a printable worksheet or need help with addition/subtraction of integers too!
Parent Tip: Review the logic above to help your child master the concept of multiply integers worksheet.
