Integers and Their Opposites
Rational Numbers
Add Integers
Subtract Integers
Add/Subtract Rational Numbers
100
Write the integer that represents the situation.
The temperature was −8°F. It rose to 0°F. What integer represents the change in
temperature?
8
100
Write the decimal expansion for the fraction
5/9
0.5555.... or 
100
A squirrel starts at the top of a hill and runs 31 feet down the hill to eat an acorn. Then it runs 31 feet up the hill. Write the integer that represents the squirrel’s final position with respect to the top of the hill.
0
100
Find the difference. −9 − (−5) = __________
-4
100
Find the sum. Write your answer as an integer or a simplified fraction.
1/3
200
Write the integer that represents the situation.
Trevor spent $34 and now has no money left. How much money did he have before his
purchase?
34
200
Write the decimal equivalent for the rational number
7/20
0.35
200
Complete the statement below. Then use the number line to find the sum 7 + (−4).
7 + (−4) is ______ units from 7, in the __________ direction.
7 + (−4) = __________
4, negative, 3
200
What subtraction equation does the number line represent?
-4 - 5 = -9
200
The temperature in a town is 18.7°F during the day and −16.8°F at night. Find the difference in the temperatures. The difference in temperature is __________ °F.
35.5
300
An elevator goes up 9 floors and then down 6 floors. What integer represents the change in
floor level?
3
300
Identify the repeating decimals.
I. 
II. 4.822
III. −2.46
IV. 
V. 8.888
I and IV
300
Complete the statement below. Then use the number line to find the sum −2 + (−5).
−2 + (−5) is ______ units from −2, in the __________ direction.
−2 + (−5) = __________
5, negative, -7
300
Find the difference. 74 − 98 = __________
-24
300
Find the value of the expression. Write your answer as an integer or a decimal. (−9.4) + 6.8 = __________
-2.6
400
A worker in a silver mine descends 72 feet. Use an integer to represent the change in the
worker’s position.
-72
400
Determine whether each number is rational or not rational.
a. −14.272727…
b. 6.0918273645…
c. 64
a. -14.272727... is Rational.
b. 6.0918273645... is Not rational.
c. 64 is Rational.
400
In City A, the temperature rises 8°F from 9 A.M. to 10 A.M. Then it drops 5°F from 10 A.M. to 11 A.M. In City B, the temperature drops 2°F from 9 A.M. to 10 A.M. Then it drops 6°F from 10 A.M. to 11 A.M. Write an expression for each city’s change in temperature from 9 A.M. to 11 A.M. Which city has the greater change in temperature?
City A: 8-5=3
City B: -2-6=-8
City B had the greater overall change in temperature
400
Find the difference. −168 − (−57) = __________
-111
400
Manuel climbs a tower from ground level to the elevation shown. He then climbs down the given distance. How far is Manuel from the ground?
Manuel is __________ feet from the ground. Write your answer as an integer, fraction, or mixed number.
106 1/4
500
The number of DVDs shipped to an online retailer was 42,000 less than the previous year.
Use an integer to describe the change in the number of DVDs shipped.
-42,000
500
Determine whether each number is rational or not rational.
a. −7.625
b. 0.363636…
c. 4.1010010001…
a. −7.625 Rational
b. 0.363636… Rational
c. 4.1010010001… Not Rational
500
-12 + 7 =____________
-5
500
The temperature at the beginning of the day was −5°F. The temperature dropped 2°F by the end of the day. What was the temperature at the end of the day? Use the number line model to find −5 − 2.
At the end of the day, the temperature was ______ °F.
-7
500
-3/4 + 1/2
-1/4