Distributing a Negative

Distributing a Negative

EQ: How do you distribute a negative?

Distributing negative signs

• A negative sign indicates what?

• The opposite of the current number or term.

• That means when distributing a negative sign, we are changing the current term.

• We change it to the opposite.

Multiple Choice

Find the opposite of the term: 8

• 8

• -8

Multiple Choice

Find the opposite of the term: -3x

• 3x

• -3x

Multiple Choice

Find the opposite of the term: -5

• 5

• -5

Multiple Choice

Find the opposite of the term: x

• x

• -x

Distributing A Negative

• You are multiplying a negative sign with each term.

• This results in finding the opposite of each term within the parenthesis ( ).

• This is what you just practiced before this slide. Finding the opposite.

• You must do the same when distributing the negative sign.

EX: - ( -3xy + 6x )

• -1 * -3xy

• = 3xy

• -1 * 6x

• = -6x

• the simplified expression: 3xy - 6x

EX: -3 ( 2 + 4x )

• -3 * 2

• = -6

• -3 * 4x

• = -12x

• the simplified expression: -6 - 12x

Multiple Choice

Find the correct simplified expression: -2 ( -g - 5 )

• 2g + 10

• 2g - 10

• -2 ( -g + 5 )

• -2g + 10

Multiple Choice

Find the correct simplified expression: -2 ( -g + 5 )

• 2g + 10

• 2g - 10

• -2 ( -g + 5 )

• -2g + 10

Multiple Choice

Find the correct simplified expression: -2 ( g + 5 )

• -2 ( g + 5 )

• -g + 5

• -2g + 10

• -2g - 10

Open Ended

What are some mistakes you could see being made when distributing a negative sign?

Open Ended

What do you notice about the previous questions when the negative sign was distributed?