Understanding the Distributive Law

The video tutorial explains the distributive law in algebra, demonstrating how multiplication is distributed over addition within brackets. It provides three examples: doubling 47 by breaking it into 40 and 7, finding half of 192 by splitting it into 180 and 12, and simplifying the multiplication of 17 by 9 by expressing 9 as 10 minus 1. These examples illustrate how the distributive law can simplify complex calculations.

What is the main idea behind the distributive law in algebra?

• It allows division to be distributed over subtraction.

• It allows subtraction to be distributed over division.

• It allows addition to be distributed over multiplication.

• It allows multiplication to be distributed over addition.

In the demonstration of the distributive law, what is the role of the brackets?

• They indicate subtraction.

• They indicate division.

• They indicate addition.

• They indicate multiplication.

How can the number 47 be broken down to simplify multiplication using the distributive law?

• As 40 plus 7

• As 10 plus 37

• As 30 plus 17

• As 20 plus 27

What is the result of doubling 47 using the distributive law?

• 84

• 94

• 87

• 74

How can 192 be broken down to find its half using the distributive law?

• As 100 and 92

• As 180 and 12

• As 150 and 42

• As 160 and 32

What is half of 192 when using the distributive law?

• 98

• 96

• 92

• 86

How is the number 9 rewritten to simplify the multiplication with 17?

• As 8 plus 1

• As 10 minus 1

• As 7 plus 2

• As 5 plus 4

What is the result of multiplying 17 by 9 using the distributive law?

• 173

• 163

• 153

• 183

Why is the distributive law useful in simplifying calculations?

• It allows for easier subtraction.

• It allows for easier division.

• It allows for easier addition.

• It allows for easier multiplication.

What is the advantage of using the distributive law in mental math?

• It requires more steps.

• It reduces the need for memorization.

• It increases the complexity of calculations.

• It makes calculations more difficult.