Multiply and divide integers

Key Notes:

What Are Integers?

• Integers include:
  ✅ Positive whole numbers (1, 2, 3…)
  ✅ Negative whole numbers (–1, –2, –3…)
  ✅ Zero (0)

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✖️ Multiplying Integers

✅ Rules for Multiplication:

Integer 1	Integer 2	Result Sign
Positive × Positive	➝	Positive (+)
Negative × Negative	➝	Positive (+)
Positive × Negative	➝	Negative (–)
Negative × Positive	➝	Negative (–)

Remember:

• Same signs → Positive (+)
• Different signs → Negative (–)

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✍️ Examples:

1. (+6) × (+4) = +24
2. (–3) × (–7) = +21
3. (–5) × (+2) = –10
4. (+8) × (–6) = –48

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➗ Dividing Integers

✅ Rules for Division:

(Same as multiplication!)

Integer 1	Integer 2	Result Sign
Positive ÷ Positive	➝	Positive (+)
Negative ÷ Negative	➝	Positive (+)
Positive ÷ Negative	➝	Negative (–)
Negative ÷ Positive	➝	Negative (–)

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✍️ Examples:

1. (+20) ÷ (+5) = +4
2. (–36) ÷ (–6) = +6
3. (+18) ÷ (–3) = –6
4. (–24) ÷ (+4) = –6

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❗ Special Note:

• Zero × Any number = 0
• 0 ÷ Any non-zero number = 0
• You cannot divide any number by zero! (Undefined)

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📝 Practice Questions:

Multiply:

1. –4 × 5 = ______
2. –3 × –6 = ______
3. 7 × –2 = ______
4. –8 × –1 = ______
5. –9 × 0 = ______

Divide:

6. –24 ÷ 6 = ______
7. –36 ÷ –6 = ______
8. 40 ÷ –5 = ______
9. –45 ÷ 9 = ______
10. 0 ÷ 7 = ______

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✅ Answers:

1. –20
2. 18
3. –14
4. 8
5. 0
6. –4
7. 6
8. –8
9. –5
10. 0

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🎯 Tips to Remember:

• Multiplying/dividing same signs = Positive
• Multiplying/dividing different signs = Negative
• Always follow the rules first, then do the calculation.
• Practice daily to gain confidence!