Multiplication and Division of Integers and Rational Numbers

 

 

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(Khan Academy: https://www.youtube.com/watch?v=rK4sXm_MPWo)

 

 

(Khan Academy: https://www.youtube.com/watch?v=pzQY-9Nmtws)

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Assignment: 

Glencoe: 54-55 (1-6, 17-30)

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Exercise 1: Multiplication of Integers in the Real-World 

Generate real-world situations that can be modeled by the following expressions:

a. −3 × 5
b. −6 × (−3)
c. 4 × (−7)

 

Exercise 2: Word Problem

Each time that Samantha rides the commuter train, she spends $4 for her fare. Write an expression that represents the change in Samatha’s money from riding the commuter train to and from work for 14 days, then, solve.

 

 

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Assignment:

Glencoe: 54-55 (7-12, 31-40)

Example 1: Using the Commutative and Associative Properties to Efficiently Multiply Rational Numbers
a. Evaluate the expression below:

−6 × 2 × (−2) × (−5) × (−3)

 

b. What types of strategies were used to evaluate the expressions?

c. Can you identify the benefits of choosing one strategy versus another?

d. What is the sign of the product and how was the sign determined?

 

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Exercise 1: Find an efficient strategy to evaluate the expression and complete the necessary work.

−1 × (−3) × 10 × (−2) × 2

 

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Exercise 2: Find an efficient strategy to evaluate the expression and complete the necessary work.

 

What terms did you combine first and why?

 

 

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Example 3: Using the Distributive Property to Multiply Rational Numbers
Evaluate using the distributive property.

 

 

Assignment: Multiplication: Glencoe: 99-100 (1-48 odd)

Glenco: 2-4 Ex2-5

 

Assignment: Division: Glencoe: 105-106 (1-45 odd)

 

Example 4