The Distributive Property

The video tutorial explains how to calculate the area of a rectangle using two methods: adding smaller lengths and using smaller rectangles. It demonstrates the distributive property, showing that multiplying a sum is equivalent to multiplying each addend separately and adding the products. The tutorial includes algebraic representation and practice exercises to reinforce the concept.

What is the area of a rectangle with a length of 9 inches and a width of 3 inches?

• 18 square inches

• 27 square inches

• 30 square inches

• 36 square inches

How do you calculate the area of a rectangle using smaller rectangles?

• Find the area of each smaller rectangle and add them

• Multiply the lengths of the smaller rectangles

• Subtract the area of one smaller rectangle from the other

• Add the lengths of the smaller rectangles

Which property is demonstrated when multiplying a sum by distributing the multiplier to each addend?

• Distributive Property

• Identity Property

• Commutative Property

• Associative Property

In the expression 8 * (4 + 3), which number is distributed?

• 4

• 3

• 8

• 7

What is the result of applying the distributive property to 8 * (4 + 3)?

• 8 * 3 + 4

• 8 * 4 + 3

• 8 * 4 + 8 * 3

• 8 + 4 * 3