Distributive Property Applications

The video tutorial covers the distributive property in mathematics, demonstrating how it can simplify multiplication problems. It begins with an introduction to the concept, followed by examples of breaking down multiplication using the distributive property. The tutorial then uses rectangles to provide a visual model of the property. Finally, an activity is presented to explore various ways to manipulate and apply the distributive property, offering practice and reinforcing the concept.

What is the distributive property primarily used for in mathematics?

• To subtract numbers

• To add numbers

• To simplify multiplication

• To divide numbers

How can the number 102 be broken down using the distributive property?

• 50 + 52

• 100 + 2

• 90 + 12

• 80 + 22

When using the distributive property, what is the result of 5 times (100 + 2)?

• 530

• 510

• 502

• 520

What is the area of a rectangle with sides 6 and 5 using the distributive property?

• 40 units squared

• 25 units squared

• 30 units squared

• 35 units squared

How can the area of a rectangle be found using the distributive property?

• By adding the lengths of all sides

• By multiplying the lengths of two adjacent sides

• By subtracting the lengths of two sides

• By dividing the lengths of two sides

In the activity, what is the result of 33 times (10 + 2) using the distributive property?

• 396

• 330

• 360

• 390

What common factor can be used to simplify 9 + 12 using the distributive property?

• 5

• 4

• 3

• 2

How is the distributive property applied to fractions like 1/2 and 1/4?

• By adding the fractions directly

• By subtracting the fractions

• By finding a common denominator

• By multiplying the fractions

What is the result of 8 times (1/2 + 1/4) using the distributive property?

• 5

• 7

• 4

• 6

What is the final result of 24 minus 16 using a common factor in the distributive property?

• 6

• 8

• 12

• 10