Representing Integers
Opposites and Absolute Value
Compare and Order
Rational Numbers
Reflections and Points
100
Since his last vet appointment, a cat lost 2 ounces. Write an integer to represent the situation. Explain the meaning of zero in each situation.
-2 ounces
100
Find the opposite of −3
3
100
After playing 18 holes of golf, John’s score was −4 and Terry’s score was −1. Write an inequality to compare the scores.
Graph the integers on the number line.
−1 is farther to the right, so it is greater. So, the inequality is −4 < −1.
100
Mammoth Cave in Kentucky has a minimum elevation of −124.1 meters. Suppose a hiker traveled to the bottom of the cave. How many meters did the hiker travel?
−124.1 is 124.1 units from 0. So, the hiker traveled 124.1 meters.
200
Abigail withdrew $15 from her checking account. Write an integer to represent the situation.
$-15
200
The value of -(-13) is __.
13
200
The record low temperature for Buffalo, New York is −20°F. The record low temperature for Chicago, Illinois is −27°F. Write an inequality to compare the record low temperatures.
−27 < −20.
200
A scuba diver was at a depth of feet. How many feet did the scuba diver travel if the diver traveled to the surface of the ocean?
The scuba diver traveled feet.
300
Graph each the set of integers {5, −5, −6} on a number line.
300
One winter night, the temperature outside was 10°F. Overnight, the temperature dropped to –2°F.
How many degrees did the temperature drop?
12 degrees
300
Order the integers from least to greatest.
9, −8, −2, 4, −9
The integers in order from least to greatest are −9, −8, −2, 4, and 9.
300
Aika is building a square garden. She places a garden post at (3.5, 3.5). What is the location of the corner that reflects (3.5, 3.5) across the y-axis?
400
Salton City, California is located 38 meters below sea level. What is a possible elevation for Salton City?
-38 meters below sea level
400
Mariano tosses a quarter into a wishing well. The top of the well is represented by 0 feet. The location of the quarter after the fall is represented by –14 feet.
The quarter fell __ feet.
14 feet
400
Order {−2.5, 4, 23, −1, 5, −3, 0.66} from least to greatest.
The order from least to greatest is −3, −2.5, −1, 0.66, 4, 5, and 23.
400
Fill in ___ the with <, >
−5.52 ___
−5.52 < .
500
Sydney owes her mother $5 and her brother owes her mother $7. Graph the integers that represent the amount they owe their mother as a negative number on a number line. How much more will her brother have to repay their mother than Sydney? Explain.
Her brother will owe $2 more
500
Find −[−(55)].
The opposite of −55 is 55.
500
A group of students participated in a small business challenge. The table shows results for the students’ budgets. The student with the greatest amount under budget wins the challenge. In what place did Dave finish?
The order of students from greatest under budget (first place) to least under budget (6th place) is Tyrone, Casey, Mike, Dave, Luke, and Lily. So, Dave came in 4th place.
500
Order the set {−4.25, ,
} from least to greatest.
the set of numbers in order from least to greatest is , −4.25, and
.