Rational Numbers on a number line and Comparing Rational Numbers
What is the value of -[-(-8)] =
-8
Describe how you would plot this point: (2, -5)
What is you begin at the origin (0,0), go right 2 units and then down 5 units to plot your point?
An integer that represents "56 meters below sea level"
What is "-56"?
Sandra is plotting points on a coordinate plane. On what axis will the point (-6,0) be located?
x-axis
Jillian is in art class, she is making a symmetrical picture using a coordinate grid. She created a star at point (-3, 6) and would like to have the star reflected in each quadrant. What would the points of the other 3 stars be?
What is: (-3, -6) reflected over the x-axis, (3, 6) reflected over the y-axis, (3, -6) reflected over the x-axis, then the y-axis.?
Use an inequality sign to compare these two numbers: |-12| and |-5|
What is: |-12| > |-5| or |-5| < |-12|?
Describe how you would plot this point: (0, -5) and what axis it lies on?
What is you begin at the origin (0,0) and simply go down 5 units to plot your point? You do not have to go on the x-axis at all. It is on the y-axis.
What are the coordinates of point (-6, 5) reflected over the y-axis?
What is: (6, 5)?
Sally walked from her house located at point (18, 30) to the store located at point (18, 6) then to the school located at point (-23, 6). How far did she walk?
What is: 65 blocks "units"?
30 - 6 = 24
|-23| + |18| = 41
24 + 41 = 65 blocks "Units".
Two integers whose absolute value is 12...
What is -12 and 12?
Select all of the following statements that are true regarding the reflection of the point A (2, -3.5)
A. When reflected across the x-axis, the x-coordinate stays the same and the y-coordinates are opposite
B. When reflected across the y-axis, the x-coordinates are opposites and the y-coordinate stays the same.
C. The reflection of A (2, -3.5) across the x-axis can be represented by A' (-2, -3.5)
D. When reflected across the x-axis, the x-coordinates are opposites and the y-coordinates stays the same
E. The reflection of A (2, 3.5) across the x-axis can be represented by A' (2, 3.5)
A, B and E
Out of this list, name the number that is NOT an integer: 25, 0, -25, 0.25
What is 0.25? Since the other numbers are whole numbers they would represent integers. 0.25 is a decimal is it is more of a rational number.
What are the coordinates of the point (8,2) when it is reflected over the x-axis?
What is: (8, -2)
Below is a table showing the melting points to the nearest degree Celsius for six substances. Methane melts at -182 degree Celsius. Between which two substances is the melting point of methane?
Hydrogen -259
Acetic Acid 17
Ammonia -78
Nitrogen -210
Octane -57
Water 0
Nitrogen and Ammonia
Write an inequality statement for the following numbers: -2/5 and -0.75
What is -0.75 < -2/5 or -2/5 > -0.75?
What is the vertical distance between points A (-4.5, -3.5) and point B (-4.5, -1.5)?
2 units
The absolute value of "-125" is...
Explain the meaning of the absolute value.
What is 125? Absolute value is the distance from zero; so that means "-125" is 125 PLACES from zero.
Describe how to reflect a point over the y-axis, and give an example.
What is: To reflect a point over the y-axis, you would keep the y-coordinate the same, and you would take the opposite of the x-coordinate) ex. (5, 4) reflected over the y-axis would be (-5, 4).
As part of a science experiment Paxton measures the width of various seashells that he find. Below is a list of the differences between the acutal width and the average width.
Ark 3/10, Chiton -0.1, Nut 1.25, Helmet -4/5, Slipper -1.5.
He then measures a shell that is 3/5 inch thinner than the average width of the shell. Between which two types of shell does the new shell fit?
What is: Ark and Nut
Tori and her dad went scuba diving. They went on a 64 foot dive, descending from a motor boat located on the Gulf of Mexico. The boat was located at seal level. Where on a number line would you plot a point to represent the boat's location? What integer accurately represents the depth of the dive?
On the number line the boats location is at zero, which is at sea level. The depth of the dive would be -64.
Eli shops at two different grocery stores. The location of his home and the stores are listed below. Which grocery store is a shorter distance from Eli's home?
Eli's home - (-1.75, -2)
Acme Marker- (-2.25, -2)
Natural Foods- (-1.75, 0.5)
What is Acme Market
Explain this expression "-|-25|"
What is the opposite of the absolute value of -25? So your final value would be -25 :)
Describe how to reflect a point over the x-axis, and give an example.
What is: To reflect a point over the x-axis, your x coordinate would stay the same, and your y-coordinate would be the opposite. For example: (-6, 2) when reflected over the x-axis would be (-6, -2).
The coordinates of 4 band members are (6, 5), (-6, 5), (-6, -5) and (6, -5). What is the area of the rectangle that they have created if each unit is equal to 5 feet?
What is: 5(12 x 10)= 5 x 120 = 600 square feet?