Understanding the Distributive Property through Area

The video tutorial explains the distributive property using a garden example. It begins by calculating the total area of a rectangular garden and then divides it into sections for tulips and morning glories. The tutorial demonstrates how to calculate the area of each section and verifies the total area by summing the smaller areas. It introduces the distributive property as a method to simplify expressions and provides examples of distribution over addition and subtraction.

What is the total area of Linda's flowerbed?

• 60 square feet

• 50 square feet

• 30 square feet

• 40 square feet

How is the area for tulips calculated?

• 4 feet x 4 feet

• 3 feet x 3 feet

• 4 feet x 3 feet

• 7 feet x 4 feet

What is the area designated for morning glories?

• 32 square feet

• 28 square feet

• 20 square feet

• 12 square feet

How can the total area of the garden be verified?

• By adding the areas of tulips and morning glories

• By multiplying the length and width of the entire garden

• By subtracting the tulip area from the total area

• By dividing the total area by the number of plants

What does the distributive property illustrate in this context?

• Multiplication over division

• Addition over subtraction

• Multiplication over addition

• Subtraction over multiplication

Which equation represents the distributive property in the garden example?

• 4 x (3 + 7) = 4 x 3 + 4 x 7

• 4 x (3 - 7) = 4 x 3 - 4 x 7

• 4 x (3 + 7) = 3 x 4 + 7 x 4

• 4 x (3 - 7) = 3 x 4 - 7 x 4

What is another name for the distributive property?

• Addition over multiplication

• Subtraction over addition

• Multiplication over division

• Multiplication over addition

How can you distribute over addition?

• By dividing each term inside the parentheses by the number outside

• By adding the numbers first

• By subtracting the numbers first

• By multiplying each term inside the parentheses by the number outside

What is the result of distributing 3 over subtraction in the example?

• 3 x 6 - 3 x 4

• 3 x 4 - 3 x 6

• 3 x 6 + 3 x 4

• 3 x 4 + 3 x 6

What is the purpose of using arrows in distribution examples?

• To indicate subtraction

• To represent division

• To model distribution

• To show the direction of multiplication