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 is 111 degrees in Dallas, TX.
"is" = 111
A. How many quadrants are in a coordinate plane?
B. Provide the ordered pair for each quadrant.
A. 4 quadrants!
B.
Quadrant I (+,+)
Quadrant II (-,+)
Quadrant III (-,-)
Quadrant IV (+,-)
Draw a Venn Diagram to represent Classifying and provide an example for each.
*teacher check*
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 fouls 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)
True or False.
All fractions are rational numbers.
FALSE!
The quotient of fractions can also be WHOLE quantities.
EX: 20/4 = 5!
True or False.
All whole numbers are integers.
TRUE
Integers are whole numbers AND their opposites.
(-1 and 1) (6 and -6)
Define absolute value. Provide one example.
Define opposites. Provide one example.
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.
Plot Point Y at (6, -4).
*teacher check*
Place the following numbers in the Venn Diagram.
5.6 -3 6/2 -1.56 0 4/5 2 -18
5.6 RATIONAL
-3 INTEGER
6/2 WHOLE
-1.56 RATIONAL
0 WHOLE
4/5 RATIONAL
2 WHOLE
-18 INTEGER
A. -2/5
B. 0
C. 200
D. -5
A. -2/5 is a RATIONAL NUMBER
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 points A, B, C and D. All the coordinates for these points are integers.
What is the value of the x-coordinate of Point B?
A. 0
B. 2
C. 5
D. -5
D. 0
To which set or sets of numbers does the number -9 belong?
F. rational numbers only
G. rational numbers and integers only
H. integers only
J. whole numbers only
G. rational numbers and integers only
Make a list of 4 numbers that meet the criteria.
An integer, but not a whole number: __,__,__,__
A rational number, but not an integer: __,__,__,__
Rational, not integer: -2/3, -5.7, 6.8, 9/4
Which point represents the value of | -18 | ?
POINT Y = 0
POINT S = -18
POINT D = 18
POINT D = 18
Order the following temperatures from least to greatest.
15
-1
4
-6
5
-7
-2
-7, -6, -2, -1, 4, 5, 15
In which quadrant is point B located?
Point B (-6, 6)
Quadrant II
Which numbers would be located in the shaded part of the diagram? Select TWO answers.
A. -1.7
B. 2
C. -6
D. -4/5
E. -9
C. -6
E. -9
Graph the following points and identify each quadrant the point lies on.
POINT R (4, 0)
POINT T (0, -4)
POINT N (-2, 2)
POINT (3, -4)
*teacher check*