Opposites & Absolute Value
Use the following situation to identify if the integer is positive or negative. What is the number to represent the following scenario?
It rose 11 degrees in Dallas, TX.
positive = 11
A. How many quadrants are in a coordinate plane?
B. Provide the ordered pair for the second quadrant.
A. 4 quadrants!
B. Quadrant II (-,+)
What is the name of the point where the x-axis and y-axis intersect?
What is the origin (0, 0)?
B. |-4| =
A. Opposite of 4 = -4
B. Absolute value of -4 = 4
Lebron James had 9 points in the first quarter of the basketball game. In the second quarter, he scored 26 points. Which integer represents the opposite of Lebron's score in the first quarter?
F. 9
G. -26
H. -9
J. 26
H. -9
Which value is greater?
-2 or -1?
-1!
It has more value than -2 because it is closer to 0 on the number line. It's only 1 unit away!
On a coordinate plane, the x and y coordinate suggests that we move in what direction(s) on the number line?
x coordinate - LEFT or RIGHT (horizontal)
y coordinate - UP or DOWN (vertical)
A polygon has vertices at (−2, 2), (2, 2), (2, −2), and (−2, −2). What type of polygon is formed?
Square
True or False.
All whole numbers are integers.
TRUE
Integers are whole numbers AND their opposites.
(-1 and 1) (6 and -6)
Provide an example of absolute value.
Provide an example of opposites.
Absolute value is ALWAYS POSITIVE! It's a number's DISTANCE from zero
EX: |-3| = 3 or |6| = 6
Opposite are opposites because they are the same distance from ZERO
EX: -2 = 2 or 9 = -9
Which of the following equations are true?
I. |7| = 7
II. |-7| = -7
III. |-7| = 7
IV. |7| = -7
I. AND III.
What are the two lines called that divide the coordinate plane into four quadrants?
What are the x-axis and y-axis?
A triangle has vertices at (0, 0), (0, 3), and (4, 0). What is its perimeter?
Perimeter of 12 units
A. -2/5
B. 0
C. 200
D. -5
A. -2/5 is a RATIONAL NUMBER
Which point represents the value of | -18 | ?
POINT Y = 0
POINT S = -18
POINT D = 18
POINT D = 18
Use the correct inequality to finish the statement.
5/8 _ 7/9
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In which quadrant is point B located?
Point B (-6, 6)
Quadrant II
A rectangle has three vertices at (1, 1), (5, 1), and (5, 4). What are the coordinates of the missing fourth vertex?
(1, 4)
Identify each quadrant the point lies in.
POINT R (4, 0)
POINT T (-1, -4)
POINT N (-2, 2)
POINT S (3, -4)
Point R: Quadrant I
Point T: Quadrant III
Point N: Quadrant II
Point S: Quadrant IV
Bad Bunny can swim 75 feet below sea level. Which best represents the opposite of the depth that Bad Bunny can swim?
A. -75 feet
B. -|-75| feet
C. 75 feet
D. -|75|
C. 75 feet
List the following in order from greatest to least. Explain how you know.
-32
-54
-80
-26
-25
-25, -26, -32, -54, -80
Explain: When ordering from greatest to least, the least negative value has the most value. The farther you move to the left, the value decreases!
The coordinate grid shows point B at (-2, 3).
What is the coordinate 0f point B is reflected over the x-axis.
(-2, -3)
A quadrilateral has vertices at (−3, 1), (−3, 5), (2, 5), and (2, 1). What is the name of this polygon, and what is its perimeter?
What is a rectangle with a perimeter of 18 units?
Daily Double: Make a list of 4 numbers that meet the criteria.
An integer, but not a whole number: __,__,__,__
A rational number, but not an integer: __,__,__,__
Integer, not whole: -4, -5, -6, -7
Rational, not integer: -2/3, -5.7, 6.8, 9/4