Multiplying and Dividing Integers Practice worksheet with equations for students to solve.

Let's solve the Multiplying and Dividing Integers Practice worksheet step by step. I'll go through each problem, show the work, and provide the final answer.

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Part 1: Multiply the integers

We use the rule:
- Positive × Positive = Positive
- Negative × Negative = Positive
- Positive × Negative = Negative
- Negative × Positive = Negative

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1. $-5 \times 3 = -15$
2. $9 \times -2 = -18$
3. $-6 \times 4 = -24$
4. $-3 \times 7 = -21$
5. $-6 \times 8 = -48$
6. $-8 \times 1 = -8$
7. $-9 \times 5 = -45$
8. $-4 \times -2 = +8$ (negative × negative = positive)
9. $-11 \times 6 = -66$
10. $10 \times -8 = -80$
11. $-12 \times -4 = +48$ (negative × negative = positive)
12. $-10 \times 9 = -90$
13. $8 \times -5 = -40$
14. $-2 \times -7 = +14$
15. $5 \times -4 = -20$
16. $-12 \times -11 = +132$

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Part 2: Divide the integers

Use the same sign rules as multiplication:
- Positive ÷ Positive = Positive
- Negative ÷ Negative = Positive
- Positive ÷ Negative = Negative
- Negative ÷ Positive = Negative

Also, remember: Division is the inverse of multiplication.

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1. $30 \div -15 = -2$
2. $21 \div 7 = 3$
3. $-42 \div -6 = +7$ (negative ÷ negative = positive)
4. $48 \div -8 = -6$
5. $-24 \div 8 = -3$
6. $-25 \div 5 = -5$
7. $-63 \div -9 = +7$ (negative ÷ negative = positive)
8. $81 \div -9 = -9$
9. $-12 \div 2 = -6$
10. $90 \div -10 = -9$
11. $-132 \div -12 = +11$
12. $-56 \div -7 = +8$
13. $48 \div -12 = -4$
14. $-110 \div 10 = -11$
15. $-72 \div -8 = +9$
16. $120 \div -10 = -12$

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✔ Final Answers:

#### Multiplication:
1. -15
2. -18
3. -24
4. -21
5. -48
6. -8
7. -45
8. 8
9. -66
10. -80
11. 48
12. -90
13. -40
14. 14
15. -20
16. 132

#### Division:
1. -2
2. 3
3. 7
4. -6
5. -3
6. -5
7. 7
8. -9
9. -6
10. -9
11. 11
12. 8
13. -4
14. -11
15. 9
16. -12

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✔ These are all correct based on integer multiplication and division rules.

Let me know if you'd like this formatted as a printable sheet or need explanations for any specific problem!