Multiplication and Division of Rational Numbers

The lesson covers multiplication and division of rational numbers, emphasizing the use of properties like commutative, associative, and distributive to simplify calculations. Examples demonstrate how to apply these properties to solve problems more efficiently, including converting division into multiplication using reciprocals. The lesson concludes with strategies for determining the sign of products and quotients.

What is one of the key outcomes of the lesson on multiplication and division of rational numbers?

• Recognizing that multiplication and division rules for integers apply to rational numbers

• Understanding the rules for adding integers

• Understanding the properties of exponents

• Learning how to solve quadratic equations

In Example 1, what property is used to switch the order of multiplication to simplify the expression?

• Commutative Property

• Identity Property

• Associative Property

• Distributive Property

What is the final result of the expression evaluated in Example 1?

• 360

• 36

• 72

• 180

In Example 2, how is the mixed number rewritten before applying the distributive property?

• As a product

• As a quotient

• As a difference

• As a sum

What is the result of multiplying -6 by 5 in Example 2?

• 1

• -1

• 30

• -30

In Example 3, what is the common element factored out from the terms?

• 4

• 16

• 8

• 2

What is the simplified result of the expression in Example 3 after factoring out the common element?

• -2

• 2

• -1

• 1

In Example 4, what is the strategy used to handle division of fractions?

• Subtracting the fractions

• Adding the fractions

• Multiplying by the reciprocal

• Dividing by the reciprocal

What is the final result of the expression in Example 4 after simplification?

• 36

• 54

• 72

• 18

What determines the sign of the product in expressions with multiple negative terms?

• The number of positive terms

• Whether the number of negative terms is even or odd

• The number of terms

• The order of operations