Multiplying Algebraic Expressions (Part 2)

The video tutorial explains the associative property of multiplication, which allows numbers to be grouped in different ways without affecting the product. It demonstrates how this property can be used to simplify expressions, especially those containing variables. An example is provided to show how to group numbers and simplify the expression 5 times 9x to 45x. The lesson concludes with a summary of using both associative and commutative properties to multiply expressions with variables.

What does the associative property of multiplication allow you to do?

• Change the order of numbers in a multiplication expression.

• Add numbers in any order.

• Subtract numbers in any order.

• Rearrange parentheses in a multiplication expression.

How does the associative property help in simplifying expressions with variables?

• It eliminates the need for parentheses.

• It changes the value of the variables.

• It lets you group numbers together to simplify calculations.

• It allows you to add variables together.

In the expression 5 times 9x, how can you simplify it using the associative property?

• By dividing 5 by 9.

• By subtracting 9 from 5.

• By adding 5 and 9.

• By multiplying 5 and 9 first.

What is the result of simplifying the expression 5 times 9x?

• 45x

• 5x

• 9x

• 14x

What properties are used to multiply expressions containing variables?

• Subtractive and divisive properties.

• Additive and multiplicative properties.

• Commutative and associative properties.

• Distributive and associative properties.