Important Concepts
Adding Integers
Subtracting Integers
Word Problems
100

If a subtraction and a negative symbol are placed between two numbers (5-(-4)), what should you do?

Change them to +

100
-5 + 9
4
100
-4 - 6
-4 + (-6) = -10
100
Jason dives 10 feet under water and swims back up 3 feet. Where is his current location in the water?
-10 + 3= -7
200
Integer
Positive and negative whole numbers and 0
200
-12 + 5
-7
200
4 - 11
4 + (-11) = -7
200
Chris gets paid $100, and then must pay his cable bill which is $245. How much money does he have?
100 - 245 = $-145
300

What are the 4 steps we use to subtract integers?

Keep the first number the same.

Change the subtraction to addition.

Change the sign of the second number.

Follow the rules for addition.

300
-16 + (-17)
-33
300
15 - (-7)
15 + 7 = 22
300
The temperature is now 76 degrees, it rose 12 degrees overnight. What temperature was it last night?
76-12 = 64 degrees
400

How do you find the sum of numbers with different signs?

Subtract and keep the sign of the BIGGER number.

400

How do you find the sum of numbers with the same sign?

Add and keep the sign.

400

-27 - (-3)

-27 + 3 = -24

400
In a game, Jareek earned 15 points in the first round, in the 2nd round he lost 20 points for not showing sportmanship. In the final round he scored double what he did in the first round. What is his final score?
15 + (-20) + 30 = 25 points
500

Subtracting a positive number is the same thing as...

Adding a negative 7-4 = 7 +-4

500
-16+18+-17
-15
500
-10 - 11 - (-3)
-10 + (-11) + (3)= -18
500
Nikkia starts with $1000 in her bank account, she withdraws $750 to pay her rent. She lets a friend borrow $70, buys new clothes for $120. She finds $100 cash on the street, and deposits 1/4 of it. How much money is in her bank account?
$85
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