Review of basic operations with integers.

Division of Mixed Negative Numbers

Fishman/Quezada/McFarlane/Sanchez

Multiple Choice

6+(-2)=

• 8

• -8

• 4

• =4

Multiple Choice

-6+2

• -8

• -4

• 4

• -8

REMEMBER: Addition means "more than"

• 6+2 means "two more than six".

• the opposite of "more than" is "less than." So 6+(-2) means "two less than six"

Another way to look at it:

• 6+2. If you have a number line, start at 6 and move 2 to the right(6,7,8).

• 6+(-2) means start at 6 and go 2 to the left. (6,5,4).

The same rules apply if you start with a negative number.

• -6+2 means start at -6. Go two to the right, you get (-6,-5,-4). So -6+2==4

• -6+(-2) means start at -6. Go 2 to the left, you get (-6,-7,-8). So -6+(-2)=-8

Open Ended

11+11=

Open Ended

11+(-11)=

Open Ended

-11+11=

Open Ended

-11+(-11)=

What about subtraction? Let's start with 6-2

• We can look at this as "How much more is six than two? six is four more than two. 6-2=4"

• We can look at this as "2 less than 6". On a number line, start at 6. Go 2 backwards. 6-2=4

• We can look at this as "add the opposite." 6-2 becomes 6+(-2).

What about 6-(-2)?

• "How much more is 6 than -2? 6 is 8 more than -2. 6-(-2)=8

• Normally, when we subtract, we go to the left. But if we subtract a negative, we go to the right.

• "Add the opposite". 6-(-2) = 6+2=8

Multiple Choice

11-11

• 22

• 0

• -22

Multiple Choice

11-(-11)=

• 11

• 22

• 0

• -22

Multiple Choice

-11-11

• -22

• 22

• 0

• 11

Multiple Choice

-11-(-11)=

• 0

• -22

• 22

• 11

Multiplication and Division

•  $5\times4=20$  
  

   $20\div4=5$  

• -5 x 4=(-5)+(-5)+(-5)+(-5) = -20

• -5 x -4 = the opposite of -20, or 20

•  $20\div-5=-4$  

•  $-20\div-5=the\ opposite\ of\ -4,\ or\ 4$  

Open Ended

11 x 11=

Open Ended

11x(-11) =

Open Ended

-11x(-11)=

Open Ended

 $121\div11=$  

Open Ended

 $121\div\left(-11\right)=$  

Open Ended

 $-121\div\left(-11\right)=$  

Multiple Select

Which of the following will give you an answer of 0?

• 5 + 5

• 5 + (-5)

• 5 - 5

• 5 - (-5)

Multiple Select

Which of the following will give you an answer of -1?

• $1\times1$
  

• $4\div-4$

• $4\div4$

• $-4\div4$

• $-1\times1$

Poll

Which do you prefer?

• Quizzizz

• Kahoot!

Poll

What would you rather do tomorrow?

• Peardeck

• Nearpod

Poll

What would you rather do tomorrow?

• Peardeck

• Nearpod