Worksheet for practicing multiplication and division of integers with varying difficulty levels.

Let's solve 10 questions from the worksheet on Multiplying and Dividing Integers, selecting a mix of Easy, Medium, and Challenge problems to ensure variety.

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✔ Selected Questions & Solutions

We'll solve:

- Easy: a, b, c, d, e
- Medium: a, b, c, d
- Challenge: a, b

That’s 9. Let’s add one more: Challenge e → total = 10.

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🔹 EASY

#### a) 2 × (–4)
Multiply:
Positive × Negative = Negative
→ 2 × 4 = 8 → so answer is –8
✔ Answer: –8

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#### b) (–6) ÷ 2
Divide:
Negative ÷ Positive = Negative
→ 6 ÷ 2 = 3 → so answer is –3
✔ Answer: –3

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#### c) (–7) × (–3)
Multiply:
Negative × Negative = Positive
→ 7 × 3 = 21 → so answer is +21
✔ Answer: 21

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#### d) 8 ÷ (–4)
Divide:
Positive ÷ Negative = Negative
→ 8 ÷ 4 = 2 → so answer is –2
✔ Answer: –2

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#### e) (–18) ÷ (–2)
Divide:
Negative ÷ Negative = Positive
→ 18 ÷ 2 = 9 → so answer is +9
✔ Answer: 9

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🔹 MEDIUM

#### a) 3 × (–21)
Positive × Negative = Negative
→ 3 × 21 = 63 → so answer is –63
✔ Answer: –63

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#### b) (–121) ÷ (–11)
Negative ÷ Negative = Positive
→ 121 ÷ 11 = 11 → so answer is +11
✔ Answer: 11

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#### c) (–14) × 12
Negative × Positive = Negative
→ 14 × 12 = 168 → so answer is –168
✔ Answer: –168

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#### d) 205 ÷ (–5)
Positive ÷ Negative = Negative
→ 205 ÷ 5 = 41 → so answer is –41
✔ Answer: –41

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🔹 CHALLENGE

#### a) (–3) × 10 × (–6)
Step-by-step:
First: (–3) × 10 = –30
Then: –30 × (–6) = +180 (negative × negative = positive)
✔ Answer: 180

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#### b) (–42) ÷ 7 × (–3)
Follow order of operations (left to right):
(–42) ÷ 7 = –6
Then: –6 × (–3) = +18
✔ Answer: 18

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#### e) (–2)² + (–4)³
Evaluate exponents first:
(–2)² = (–2) × (–2) = +4
(–4)³ = (–4) × (–4) × (–4) = 16 × (–4) = –64
Now add: 4 + (–64) = –60
✔ Answer: –60

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✔ Final Answers Summary

| Question | Answer |
|--------|--------|
| Easy a) 2 × (–4) | –8 |
| Easy b) (–6) ÷ 2 | –3 |
| Easy c) (–7) × (–3) | 21 |
| Easy d) 8 ÷ (–4) | –2 |
| Easy e) (–18) ÷ (–2) | 9 |
| Medium a) 3 × (–21) | –63 |
| Medium b) (–121) ÷ (–11) | 11 |
| Medium c) (–14) × 12 | –168 |
| Medium d) 205 ÷ (–5) | –41 |
| Challenge e) (–2)² + (–4)³ | –60 |

> ✔ Total: 10 questions answered

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📝 Key Rules Used:

- Multiplication/Division:
- (+) × (+) = +
- (–) × (–) = +
- (+) × (–) = –
- (–) × (+) = –
- Exponents: Negative base with even exponent → positive; odd exponent → negative.
- Order of Operations: Exponents first, then multiplication/division left to right.

Let me know if you'd like all 18 solved or want explanations for others!