What is the division property and how is it used

The video tutorial explains the division property, which states that a quantity divided by the same quantity equals one. It applies to numbers, variables, and expressions. The tutorial highlights common mistakes, such as incorrectly applying the property to non-identical expressions. It emphasizes the correct application of the division property and its role in simplifying rational expressions by factoring to find identical quantities that can be divided to one.

What is the result when a number is divided by itself according to the division property?

• The number itself

• 1

• 0

• Undefined

Which of the following is NOT a valid application of the division property?

• X + 1 / X

• X / X

• 5 / 5

• X + 1 / X + 1

Why can't you divide out the X's in the expression X + 1 / X?

• Because they are not the same expression

• Because X is not a number

• Because X is a variable

• Because division by zero is not allowed

What is the first step in simplifying rational expressions?

• Multiplying the expressions

• Subtracting the expressions

• Factoring the expressions

• Adding the expressions

What is the goal when simplifying rational expressions?

• To find different quantities

• To eliminate all variables

• To find identical quantities that can be divided to 1

• To make the expression more complex