Understanding the Distributive Law

The video tutorial explains how to rewrite and simplify expressions using the distributive law of multiplication over addition. It begins by evaluating expressions with parentheses and then demonstrates the distributive law by distributing the multiplier across terms inside the parentheses. A visual representation is provided to help understand why the distributive property works, showing how multiplication distributes over addition by duplicating terms.

What is the initial expression discussed in the video?

• 4 times (3 plus 8)

• 3 times (4 plus 8)

• 8 times (4 plus 3)

• 4 times (8 plus 3)

What is the result of evaluating 8 plus 3?

• 10

• 11

• 13

• 12

What is the result of 4 times 11?

• 42

• 48

• 44

• 40

What does the distributive law allow you to do?

• Multiply each term inside the parentheses separately

• Divide each term inside the parentheses separately

• Subtract numbers before multiplying

• Add numbers before multiplying

How is the expression rewritten using the distributive law?

• 4 times 8 plus 3

• 4 times 8 plus 4 times 3

• 8 times 4 plus 3

• 8 times 4 plus 8 times 3

What is the result of 4 times 8?

• 32

• 40

• 36

• 28

What is the result of 4 times 3?

• 10

• 13

• 11

• 12

How many times is the expression 8 plus 3 duplicated in the visual explanation?

• Two times

• Four times

• Three times

• Five times

What does the visual explanation use to represent the numbers?

• Triangles

• Circles

• Squares

• Stars

Why does the distributive property work according to the visual explanation?

• It only works for addition

• It simplifies the expression

• It duplicates each term the specified number of times

• It changes the order of operations