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Important Concepts
Adding Integers
Subtracting Integers
Word Problems
Decimals and Fractions
100
Absolute Value
The distance of a number from zero
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
100

-2.5 - 1.3

-3.8

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
200

1/2 - 5/2

-3/2

300
What are additive inverses
Numbers that are opposite and have a sum of zero
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
300

8.75 - (-2.23)

10.98

400
What does this mean? |-6| = 6
The absolute value of -6 is 6, or -6 is 6 units from zero.
400
How do you find the sum of numbers with different signs
Subtract and take the sign of the # with the greater absolute value
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
400

1/2 - 4/3

-5/6

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
500

You all avoided this question:

A submarine at 49.7 feet below sea level suddenly is under attack. The captain commands the crew to move up about 6.8 feet and another 10.3 feet.  At what depth is the submarine located now?

-32.6