Definitions
Integers
A whole number that can be positive, negative, or zero.
-5 + 12
7
-5(0)
0
An elevator is on the twentieth floor. It goes down 11 floors and then up 5 floors. What floor is the elevator on now?
14th floor
What are the additive inverses of the following numbers: -62, 4, -15
62, -4, 15
Same Sign Sum
Add the numbers and keep the same sign.
-10
4 • -7
-28
A submarine was situated 800 feet below sea level. If it ascends 250 feet, then descends 100 feet, what is its new position?
-650 feet or 650 feet below sea level
Order the following integers from greatest to least:
|-13|, -2, 5, -6.8, 14
14, |-13|, 5, -2, -6.8
Different Sign Difference
Subtract the numbers and keep the same sign of the number with the bigger absolute value.
-13+6-4
-11
-54 ÷ 3
-18
While watching a football game, Lin Chow decided to list yardage gained as positive integers and yardage lost as negative integers. After these plays, Lin recorded 14, –7, and 9. What was the net gain or loss?
16 yards
What is the integer value that can represent the following situation:
A withdrawal of $42
-42
Additive Inverse
The opposite of a number, where the sum of the two numbers is zero.
|-4|-6
-2
-22 ÷ (-2)
11
Josie has $47 left on her checking account. If she writes a check for $55, what will Josie’s balance be?
$-8
Write the integer values that would represent each situation:
1) 500 feet below sea level
2) A profit of $64
3)He was 13 inches shorter than his sister
1) -500 feet
2) 64 dollars
3) -13 inches
Absolute Value
The distance a number is away from zero.
|-9-7|+6 - 8
(|-16| ÷ |4|) +7
Henry starts the day with $30. He and his sister go to the fair. He pays for his own admission of $10,but fails to notice that $15 falls out of his wallet while he is paying. His sister lends him $10 so that he can still enjoy the fair. Write the equation that illustrates his day’s financial events.
30-10-15+10
Order the following values from least to greatest:
7, 54, 0, |-16|, -12, -8, -1.5
-12, -8, -1.5, 0, 7, |-16|, 54