Understand Positive and Negative Numbers
Dakshesh won a game with a score of 25 points.
Randy’s score was the opposite number of points
as Dakshesh. What is Randy’s score?
-25
Fill in the blanks: As you move to the right on a horizontal number line, the values ________________. As you move to the left, values _______________.
The outdoor temperature yesterday reached a
low of −4.5°F. Between what two integers was
the temperature?
−4 and −5
In which quadrant is Point C (3, 2)?
Quadrant I.
What is the distance between (0, 5) and (0, −5)
10 units
⎮5⎮ + ⎮−5⎮ = 10
(We add the absolute value of the y coordinates because the points are in different quadrants)
Death Valley is located 282 feet below sea level. How would you represent this as an integer?
-282 feet
Order the numbers from least to greatest.
4, − 3, − 7
− 7 < − 3 < 4
Jacob needs to graph −6⅔ on a horizontal
number line. Should he graph it to the left or
right of −6?
True or False?
Point B (–5, 2) is to the left of the y-axis and below the x-axis.
False
The map of Foggy Mountain Park is marked on a
coordinate plane in units of 1 mile. There are two
campgrounds in the park. Camp 1 is located at
(−4, 3). Camp 2 is located at (5, 3). How far is it
from Camp 1 to Camp 2?
9 miles.
⎮−4⎮ + ⎮5⎮= 9
(We add the absolute values of the x coordinates because the points are in different quadrants.)
Zion’s dog lost 3 pounds last year. How would you represent this as an integer?
-3 pounds
Order the numbers from greatest to least
−1, −4, 2
2 > −1 > −4
compare ⎮-14⎮ and 14
⎮-14⎮ = 14
True or false:
Point A (2, –1) is to the right of the y-axis and below the x-axis.
True
Find the distance between (3, −6) and (3, −10)
4 units
⎮−10⎮ − ⎮−6⎮ = 4
(The points are in the same quadrant so we subtract the absolute values of the y coordinates)
Janai withdraws $20 from her bank account. How would you represent this as an integer?
-$20
Saturday’s low temperature was −6°F.
Sunday’s low temperature was 3°F.
Monday’s low temperature was −2°F.
Tuesday’s low temperature was 5°F.
Which day’s low temperature was closest to 0°F?
Monday
Which two numbers are 7.5 units away
from 0 on a number line
−7.5 and 7.5
Name the point where the x-axis and the y-axis intersect.
Point of origin (0, 0)
What is the distance between (4, −7) and (−5, −7)?
9 units
If points are in different quadrants (crossing an axis), add the absolute values of the differing coordinates.
⎮4⎮+⎮−5⎮= 9
The temperature at the start of a Major League
Baseball game between the Colorado Rockies
and the Philadelphia Phillies was 2°C. The
temperature at the end of the game was −4°C.
What is the opposite of each temperature?
-2℃, 4℃
Meg and Aron played a game. In the final round, Meg lost 11 points and Aron scored 4 points.
Write a comparison to compare Meg’s and Aron’s final round points.
−11 < 4
or
4 > −11
Long Beach, California, has an elevation of
−7 feet. New Orleans, Louisiana, is 8 feet below
sea level. Which city has a lower elevation?
New Orleans
In which quadrants do the points (–3, –5), (8, 4), (–7, 5), (6, –3) lie on the Cartesian plane? Use the given ordered pairs to plot the points.
(-3, -5) lies in Quadrant III .
(8, 4) lies in Quadrant I.
(–7, 5) lies in Quadrant IV.
(6, -3) lies in Quadrant II.
Select the pairs of points that have a distance of
10 between them. Mark all that apply.
● (3, −6) and (3, 4)
● (−3, 8) and (7, 8)
● (4, 5) and (6, 5)
● (4, 1) and (4, 11)
● (3, −6) and (3, 4)
● (−3, 8) and (7, 8)
● (4, 1) and (4, 11)