2. Chapter 1 Introduction to Algebra: Integers
1.6 Multiplying Integers
Chapter 1 Introduction to Algebra: Integers

3. 1.6 Multiplying Integers Objectives
Use a raised dot or parentheses to express multiplication.
Multiply integers.
Identify properties of multiplication.
Estimate answers to application problems involving multiplication.
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4. Objective 1: Use a raised dot or parentheses to express multiplication.
Numbers being multiplied are called factors and the answer is called the product.
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5. Rewrite the multiplication in three different ways. 10 × 7 Example
Objective 1: Use a raised dot or parentheses to express multiplication.
Rewrite the multiplication in three different ways.
10 × 7
Example
The factors are 10 and 7 and the product is 70.
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6. Objective 1: Use a raised dot or parentheses to express multiplication.
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7. Objective 2: Multiply integers.
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8. Objective 2: Multiply integers.
Multiply the integers.
–2 • 8
Example
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9. Objective 2: Multiply integers.
Multiply the integers.
–10 (–6 )
Example
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10. Objective 2: Multiply integers.
Multiply the integers.
–3 • (4 • –5)
Example
Multiply numbers in parentheses first.
Then multiply the resulting pair of numbers.
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11. Objective 2: Multiply integers.
Multiply the integers.
–2 • –2 • –2
Example
Multiply the first pair of numbers.
Then multiply the resulting pair of numbers.
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12. Objective 3: Identify properties of multiplication.
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13. Objective 3: Identify properties of multiplication.
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14. Objective 3: Identify properties of multiplication.
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15. Objective 3: Identify properties of multiplication.
Illustrate the commutative property for the product below.
–7 • –4
Example
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16. Objective 3: Identify properties of multiplication.
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17. Objective 3: Identify properties of multiplication.
Illustrate the associative property for the product below.
5 • 10 • 2
Example
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18. Objective 3: Identify properties of multiplication.
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19. Objective 3: Identify properties of multiplication.
Illustrate the distributive property for the product below.
–2(–5 + 1)
Example
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20. Objective 4: Estimate answers to application problems involving multiplication.
Last year a video store had to replace 392 defective videos at a cost of $19 each. Estimate the amount of money the store lost on the videos.
Example
Front end rounding: 392 rounds to 400 and –$19 rounds to –$20.
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