ADDING AND SUBTRACTING INTEGERS

Adding and Subtracting Integers

Fill in the Blanks

When both signs are the same, you

-6 + -4 = ______

-8 - 5 = ______

Fill in the Blanks

When the signs are different, you

-5 + 3 = ______

2 + -8 = ______

5 - 2 = ______

6 - 8 = ______

Let's Practice!

Please do not use a calculator. Try your best without one. It's okay to get things wrong.

Open Ended

(−12) + 7

Open Ended

(−10) + (−7)

Multiple Choice

14 - 5

• 9

• 8

• -9

• -8

Multiple Choice

-10 + (-4)

• 14

• 6

• -6

• -14

Subtracting integers rules

• Keep the first number.

• Change subtraction to addition.

• Change the sign of the last #

• Then follow the addition rules

Adding integers rules

• Same sign, add and keep the sign.

• Different sign? Subtract and keep the sign of the # that is larger.

Now let's try some!

Multiple Choice

5+(-5)

• 5

• -5

• 0

• 10

Multiple Choice

-2 + 4 

• -2
• 2
• 0
• -4

Multiple Choice

Use the tiles to find the sum of the integers.

• -5

• -7

• 5

• 7

Multiple Choice

-7 - 2

• -9
• 9
• 5
• -5

Multiple Choice

-2 - (-10) = ?

• -12
• 12
• 8
• -8

Multiple Choice

33 + (-38)

• -5
• 5
• 71
• -71

Multiple Choice

19 - (-19)

• 0
• 36
• 26
• 38

Poll

What is an integer rule for adding

$$-4+\left(-5\right)?$$  

• Same sign add and keep

• Different sign subtract and keep the higher number

• Keep Change Change

Poll

What is an integer rule for adding

$$4+\left(-5\right)?$$  

• Same sign add and keep

• Different sign subtract; and keep the sign of the higher number

• Keep Change Change

Adding Integer Rules (tune: row, row, row your boat)

• Same sign, add and keep

• Different signs subtract, keep the sign of the bigger number

• Then you will be exact

Another way

• same sign, find the sum and keep the sign

• different sign, find the difference and keep the bigger

Open Ended

Which way do you want to remember how to add integers? Row, row, row your boat or same sign, find the sum; different sign, find the difference? choose, you will use this all day. [write it down]

Fill in the Blanks

The rule for ADDING integers with the same sign is: same sign, ________ and _______ the sign.

Multiple Choice

-9 + (-5)

• -14

• 14

• -4

Multiple Choice

-8 + 20

• -28

• 28

• 14

• 12

Subtracting Integers with Keep Change Change

• Keep the first integer

• Change the subtraction to addition

• Change the second integer to the opposite

Multiple Choice

(-9) - (+3)

• -12
• -6
• 6
• 12

Multiple Choice

-4 - 6 =

• -10

• 10

• 2

• -2

Multiple Choice

3 - 11 =

• -8

• 8

• 14

• -14

On to Desmos

Link in the chat

Multiple Choice

The temperature was -8 degrees. It dropped 3 degrees. What is the new temperature?

• -11

• -5

• 11

• 5

Multiple Choice

Anita was scuba diving with her best friend Shay. Anita was 47 feet below sea level and Shay was 20 feet above Anita. What was Shay’s location?

• 67 feet below sea level (-67)

• 27 feet above sea level (27)

• 67 feet above sea level (67)

• 27 feet below sea level (-27)

Multiple Choice

Nemo went exploring with his father. Nemo started off 20 feet below sea level. He then swam down 36 more feet. Which number sentence shows Nemo’s new location?

• 20 - 36 = -16

• (-20) - 36 = -56

• (-20) - 36 = -16

• (-20) + 36 = 16

Multiple Choice

6 - 10 =

• -4

• 4

• 16

• -16

Multiple Choice

(-5) - 3 =

• 8

• -8

• 2

• -2

Multiple Choice

8 - (-5) =

• 3

• -3

• 13

• -13

Multiple Choice

-24 + -36 =

• 12

• -12

• -60

• 60

Multiple Choice

A diver was 40 feet below the surface of the water. A fisherman was casting off a dock right above the diver that was 12 feet above the surface of the water. How far apart are the diver and the fisherman?

• 28 feet
• -28 feet
• 52 feet
• -52 feet