Multiplication and Division Properties

The video tutorial explains how to make two equations equivalent using the multiplication property of equality. It demonstrates this concept through two example problems, showing how to balance equations by multiplying or dividing both sides by the same number. The tutorial emphasizes the importance of maintaining equality on both sides of the equation.

What is the main goal when inserting a value in the blank space of an equation?

• To simplify the equation

• To make the equation more complex

• To change the equation's variables

• To make the two equations equivalent

According to the multiplication property of equality, what must you do if you multiply one side of an equation by a number?

• Multiply the other side by a different number

• Add the same number to the other side

• Divide the other side by the same number

• Multiply the other side by the same number

What operation is performed on the right side of the equation to make it equivalent to the left side in the first example?

• Multiply by 3

• Divide by 3

• Subtract 3

• Add 3

In the first example, what is the equivalent operation to dividing by 3?

• Multiplying by 3

• Dividing by 1/3

• Adding 3

• Subtracting 1/3

In the second example, what is the factor used to multiply the right side of the equation?

• 10

• 12

• 7

• 6

What is the result of multiplying -2 by 6 in the second example?

• -12

• -3

• -6

• -2

How does the presence of negative signs affect the multiplication in the second example?

• It requires dividing by a negative number

• It requires multiplying by a negative number

• It requires multiplying by a positive number

• It requires adding instead of multiplying

What is the equivalent expression for -2 * 14 in the second example?

• -7

• -3

• -28

• -14