Vocabulary
An _____ gives the coordinates that locate a point relative to each axis on a coordinate plane.
Ordered Pair
A contestant in a game show has 9,000 points. The contestant answers the next question incorrectly and loses 750 points. What integer represents a loss of 750 points?
-750
Write the fractions as decimals:
5 1/2
3/4
-3 1/4
2.5
0.75
-3.25
Three students took a test two times. There change in score is represented by the following integers:
A: -10
B: -7
C: 3
Whose score changed the most?
Students A score changed the most.
What is the opposite of the following integers:
5, -20, 17, -1, -32
-5, 20, -17, 1, 32
_____ are numbers located on opposite sides of 0 and the same distance from 0 on a number line.
Opposites
What is the value of |-18|
18
Two people are scuba diving. One diver is 36 feet below the surface. The other diver is 44 feet below the surface. What integers represent where the divers are with respect to the surface? Which diver is deeper? Explain.
-36
-44
The diver at -44 feet is deeper because -44 is farther away from 0.
Write the decimals as fractions:
0.07
0.5
0.25
7/100
5/10 or 1/2
25/100 or 1/4
Solve.
5/6 x 2/3
10/18 or 5/9
The _____ of a number is its distance from zero on the number line.
Income can be represented by ____ integers.
Expenses can be represented by ____ integers.
Positive
Negative
A bird flies 13 7/10 feet above sea level. A fish swims 16 1/5 feet below sea level. Which is farther from sea level? Explain.
The fish is farther from sea level because -16 1/5 is farther away from 0.
The table shows the location of 4 cities relative to sea level. Use the Number line to find the city closest to sea level. Explain.
A: -0.25 meter
B: 6/4 meter
C: 1/2 meter
D: -0.75 meter
City A is closest to sea level because it is the closest to 0 on the number line.
Order the integer from greatest to smallest:
1,820
-8,022
3,541
0
-8,192
3,541
1,820
0
-8,022
-8,192
All the counting numbers, their opposites, and zero
Integers
Order the following integers from least to greatest:
-20, 8, -13, -12, 0, 20
-20, -13, -12, 0, 8, 20
Roberto and Jeanne played a difficult computer game. Robertos final score was -60 points, and Jeannes final score was -160 points. Use <, > , or = to compare the scores, then find the player who had the higher final score and explain.
-60 > -160
Roberto had the higher final score because -60 is closer to 0.
What is the distance between the points (-3,5) and (-3, 2) on the coordinate plane?
3 Units
Reflect the point (1,1) over the x-axis. What is your new ordered pair?
(1, -1)
Any number that can be written as the qoutient of two integers.
Example: a/b
Rational Number
What quadrant would each ordered pair be in?
(-5,-2) (4,1) (7,-3) (-1,6)
3, 1, 4, 2
Suppose you plot the lengths in the table on a number line. Which track members long jump length would be represented by the point closest to, but not equal to, 0 on the number line? Explain.
Track Members Long Jump Length
Theresa 5.625 in.
Ann 2 in.
Shirley -3 in.
Delia 0 in.
Ann because the other lengths are farther than 2 units away from 0.
What is the distance between the points (7,-8) and (7, 5) on the coordinate plane?
13 Units
Reflect the point (-8,5) over the y-axis. What is the new point?
(8,5)