Properties of Operations and Number Lines

Mrs. Zapia's lesson focuses on applying properties of operations to add and subtract rational numbers. Students learn to use the commutative and associative properties to rewrite expressions and understand that the opposite of a sum is the sum of its opposites. The lesson includes examples and exercises to practice these concepts, emphasizing efficient methods and error reduction. Students also explore mixed numbers using a number line and solve real-world problems involving weight change.

What is the main focus of the lesson introduced by Mrs. Zapia?

• Using properties of operations to multiply rational numbers

• Applying properties of operations to add and subtract rational numbers

• Understanding the properties of multiplication

• Learning to use a calculator for complex operations

How can the opposite of a sum be expressed?

• As the quotient of its opposites

• As the difference of its opposites

• As the product of its opposites

• As the sum of its opposites

In Exercise 1, what is one method used to solve the problem?

• Applying the distributive property

• Using a number line

• Finding a common denominator

• Using a calculator

What property allows you to change the order of numbers without changing the result?

• Distributive Property

• Associative Property

• Identity Property

• Commutative Property

How is a mixed number represented on a number line?

• As a product of two numbers

• As a sum of an integer and a fraction

• As a single point

• As a difference of two numbers

What is the opposite of 2 and 2/5 on the number line?

• 2 and 2/5

• -2 and 2/5

• 2 and -2/5

• -2 and -2/5

In Exercise 4, what was Mr. Mitchell's overall weight change?

• Gained 10 pounds

• Lost 5 pounds

• Lost 10 pounds

• Gained 5 pounds

What is the first step in solving Jamal's math problem?

• Adding the numbers directly

• Subtracting a number as adding its inverse

• Using a calculator

• Finding a common denominator

Which property is used to regroup terms in Jamal's problem?

• Commutative Property

• Identity Property

• Associative Property

• Distributive Property

What is the final result of Jamal's math problem?

• -9

• -1

• 0

• 1