What are the names of each axis used on the coordinate plane?
x-axis and y-axis
Numbers that are located on opposite sides of 0 and are the same distance from 0 on a number line are called what?
opposite numbers
What is the distance between these points?
(-2.75, 8) and (5.5, 8)
8.25 units. Because the y values are the same, we only need to worry about the x values. -2.75 is 2.75 away from 0 and 5.5 is 5.5 away from 0, so in total the points are 8.25 units away from each other.
The absolute value of a number is its distance from ____ on the number line
What is the distance between a whale 43 meters below sea level and someone parasailing 12 meters above sea level?
55 meters
Label the quadrants of the coordinate plane.
What's the opposite of -6?
6
Brandon used this equation to find the distance between two points. Did he find the distance correctly? Why or why not?
-10 - -3 = -7
The distance is -7 units
No, the answer is 7 units. He should use absolute value to think of -10 as 10 and -3 as 3. 10 and 3 are 7 units apart.
Absolute Value is ALWAYS …. (positive / negative)
POSITIVE
What is the order of these numbers from greatest to least?
37, 20, 16, 2 because absolute value turns all values positive.
What are the coordinates for point P?
(3, -2)
Order the following rational numbers from greatest to least.
-4, 0.25, -1, 2.5, 1.75, -0.5
2.5, 1.75, 0.25, -0.5, -1, -4
What is the distance between the Merry-Go-Round and the Water Slide?
10 units
Find the absolute value of -18
18
Simplify (what is the value?)
-5. Using absolute value, -5 becomes 5, but the negative symbol outside of the absolute value lines turns it negative again.
Which two places on the coordinate plane have the same x-coordinate?
Picnic Area 1 and Picnic Area 4. They both have -0.8 as their x value.
Compare the integers using >, < or =
-7 ___ 5
-7 < 5
What is the perimeter of the rectangle ABCD?
14 units
What is |313|?
313
Add.
Using absolute value, the expression becomes
2+1+5+2 = 10
The x-coordinate and y-coordinate of Point B are each the opposite of the x-coordinate and y-coordinate of Point A. What is the coordinate of Point B? In which quadrant is Point B located?
(-3, -5), quadrant III
What is the opposite of the integer below?
-(-8)
-8. When you have two negatives, that turns the number positive. However, the question is asking what is the opposite of the number, so the opposite of positive 8 is negative 8.
What is the perimeter of rectangle JKLM, with vertices J(–1, 3), K(2, 3), L(2, –5), and M(–1, –5)?
22 units (plotting these points would be very helpful)
|-24.6| = ?
24.6
Subtract.
3, because the absolute value of -6 is 6 and the absolute value of -3 is 3. Therefore, the problem becomes 6-3=3.