Important Concepts
Absolute Value
The distance of a number from zero
-5 + 9
4
-4 - 6
-4 + (-6) = -10
Jason dives 10 feet under water and swims back up 3 feet. Where is his current location in the water?
-10 + 3= -7
|5|=
5
Integer
Positive and negative whole numbers and 0
-12 + 5
-7
4 - 11
4 + (-11) = -7
Chris gets paid $100, and then must pay his cable bill which is $245. How much money does he have?
100 - 245 = $-145
|-4|=
4
What are additive inverses
Numbers that are opposite and have a sum of zero
-16 + (-17)
-33
15 - (-7)
15 + 7 = 22
The temperature is now 76 degrees, it rose 12 degrees overnight. What temperature was it last night?
76-12 = 64 degrees
What is the opposite of 21?
-21
What does this mean? |-6| = 6
The absolute value of -6 is 6, or -6 is 6 units from zero.
How do you find the sum of numbers with different signs
Subtract and take the sign of the # with the greater absolute value
-27 - (-3)
-27 + 3 = -24
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
-|-13|
-13
Subtracting a positive number is the same thing as...
Adding a negative 7-4 = 7 +-4
-16+18+-17
-15
-10 - 11 - (-3)
-10 + (-11) + (3)= -18
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
Order from least to greatest:
-6, 7, 11, 0, -3, 15, -12
-12, -6, -3, 0, 7, 11, 15