Download Study Guide -Integers and Rational Numbers

Name ___________________________
Block _____________________ Date _______________
Study Guide: Integer and Rational Numbers (Module 1 and 2)
1) Use the number line to determine which
rational numbers are between - 3.2 and - 2.2.
(There can be more than one answer)
-4
-3
-2
𝟓
-1
0
A
-3𝟖
C -
𝟏𝟏
𝟒
B -
𝟏𝟒
𝟓
D -
𝟏𝟎𝟎
𝟏𝟔
Point
A
B
C
D
Coordinate
-0.71
-0.78
-0.75
-0.68
8) Which number line shows the correct
placement of the points in the table above?
C
B
A
D
A
- 0.8
-0.7
C
B
A
D
B
2) Elements melt at different temperatures. Five
elements and their melting points in C◦ are
listed below. Order the elements from lowest
melting point to greatest melting point.
-0.8
-0.7
A
C
B
D
C
-0.8
-0.7
B
C
A
D
D
-0.8
-0.7
____________________________________________
____________________________________________
2
3) Point K is 8 units to the left of 0. Describe how
far and in what direction its opposite is from 0.
________________________________________
4
1
3
9) Allan wrote the numbers 63, 45 , 93 and 6 4
in the form
a
. What is the greatest
b
numerator that Allan wrote? Show each
mixed number as an improper fraction.
________________________________________
________________________________________
4) Use the number line to graph the following.
Then list the numbers from greatest to least.
(create your own number line with appropriate
intervals)
3
38
8
9
4 , - 2.8,
,-
15
8
4
10) Which of the following pairs of numbers do
not shows number and its opposite?
A
-
4
5
and .8
B - 9 and
, 2 , -3.5
C
36
9
7
8
and -
7
8
D - 12 and 12
5
11) Which two expressions each represent
List: _____________________________________
Classify each number by indicating in which set or sets
each number belongs.
5) 8 ___________________________
6)
5
9
3 12 and 3 ÷12
B
12 3 and 12 ÷ 3
C
12 3 and 3 ÷ 12
D
3 12 and 12 ÷ 3
__________________________
7) -5 ____________________________
8)
A
3
12
0 ___________________________
12) Write two inequalities to compare -19 and – 4
_________________
________________
Name ___________________________
Block _____________________ Date _______________
Study Guide: Integer and Rational Numbers (Module 1 and 2)
Compare. Write < or >
13)
-9
14)
25
15)
|-15|
19) Answer the following with TRUE or FALSE
- 11
3
31
8
opposite of 15
16) The table below shows the difference in five
students’ scores from their first and second math
tests.
Students
Gains
and
losses
JoAnn
Nolan
Mark
Alex
Dean
18
-15
12
-3
-8
Graph the students’ differences on the number
line. (create your own number line with
appropriate intervals)
20)
A
- 2.1 < - 2.3
____________
B
- 5.5 > - 6
C
- 3.8 > - 4.2 ____________
____________
SET R
SET Q
0.8
5
9
0.4
0.57
60
100
0.04
4
9
20
100
The numbers in each set shown above have a common
characteristic.
Which statement best describes a common
characteristic of the numbers in Set Q and Set R?
Which student shows the greatest change?
___________________________
Which student shows the least change?
___________________________
1
4
A
Each number in Set R is less than
B
Each number in Set Q is less than 0.65
C
Each number in Set R is greater than
D
Each number in Set Q is greater than 0.5
1
2
17) Graph the following values on the number line
20) Justin compared the absolute values of 9
5, -
12
1
, the opposite of -6 , 0 , 5 ,  10
3
2
-10.25 , 7
1
,
8
3
, and -11.9 . Which number has
8
the greatest absolute value?
________________
18) Which of the following list of numbers is
ordered from least to greatest.
A -
4
5
, - 0.78, - 0.53, 7
8
B -
5
4
, - 0.53, - , - 0.78
8
7
5
4
, - 0.53, 8
7
5
4
D - 0.78, - , - , - 0.53
8
7
C - 0.78, -
21) Allan and his 3 friends earned $30 by collecting
and re-cycling aluminum cans. How much did
each get from the earnings? Write your answer
as a fraction and as an amount in dollars and
cents.
Vocabulary: (know the definition and an example)
Integer
Positive Number
Negative Number
Zero
Absolute Value
Opposite
Inequality