Math 9 - Chapter 2:Rational Numbers
Final Review Assignment
For #1 to 4, choose the best answer.
1
1. Four students were asked to write the numbers 1
4
2
,
3
, 0.7 , 0.72, and 
5
7
in ascending order. Which student wrote the numbers in the correct order?
A Albert : 0.7 , 
5
7
,
C Carmella: 0.7 , 
2
, 0.72, 1
3
5
7
, 0.72,
2
3
1
B Beth: 
4
, 1
1
5
7
D Devin: 
4
, 0.7 , 1
5
7
, 0.7 ,
1
4
2
3
,
2
3
, 0.72
, 0.72, 1
1
4
2. Which rational number is between 1.06 and 1.07 on a number line?
A 
11
B 
10
213
C 
200
26
D 
25
1
5
8
6
108
100
3. Colin was asked to simplify the expression 6  3 . His work is shown below.
Step 1
Step 2
Step 3
Step 4
6
1
8
– 3
5
6
1
5
= (6 – 3) –   
8 6
20 
 3
=3– 


 24 24 
 17 
= 2 – 

 24 
= 2
17
24
In which step did Colin make his first mistake?
A Step 1
B Step 2
C Step 3
D Step 4
4. Which rational number is not an example of a square number?
A 196
B 0.0169
C
1
9
D
4
20
Complete the statements in #5 to 7.
5. A decimal number, to the nearest tenth, between
2
3
and
6. The value of the expression 3.7 – 4.6 ÷ (–2.3) + 1.7 is
5
6
is
.
.
Name: ________________________________
Date: ________________________
Short Answer
7. Determine the value of each of the following to the nearest tenth.
a) 0.36
b) 64
8. Write the value of each expression in the form
81
a)
b)
25
a
b
.
1
49
9. Between what two whole numbers does the square root of 24 lie?
10. Determine the number that has a square root of 2.3.
11. Shavonne is wearing a flat, metal pendant in the shape of a square. The
area of the pendant is 10 cm2. Estimate the dimensions of the pendant.
12. Calculate each of the following:
a) 3
2
3


  –2
1 2
d) 2  3 
2 3
1

6
b)
3
10
e) 4
 2

 5
c) –
– –
1
2

  2

1

4
f) 1
1
4
1
8


1

2

7
  –2
  2

3

Name: _________________________________
Date: ________________________
13. Determine whether each rational number is a perfect square. If it is a
perfect square, write the product as an expression of two equal rational
factors.
a) 0.9
b)
c)
1
4
25
9
d) 0.81
YES
NO
__________
e)
1
10
YES
NO
__________
YES
NO
__________
f) 1.44
YES
NO
__________
YES
NO
__________
g) 0.0001
YES
NO
__________
YES
NO
__________
h)
YES
NO
__________
1
100
14 . Evaluate. Show your work.
a)
256
b)
3.61
c)
1225
d)
0.0484
Extended Response
15. The area of Mara’s square pumpkin patch is 2.25 m2. She has a square
tomato garden with the same area. She wants to determine the dimensions
of each garden. Maras solution is shown below.
A = s2
2A = s2
2(2.25) = s2
4.5 = s2
4.5 = s
2.12 = s
What error did Mara make in her solution? Correct her solution and determine
the dimensions of each garden.
Name: ________________________________
Date: ________________________
16. Mark has 24 newspapers to deliver. In one apartment building, he delivers
3
2
8
of them. In the next apartment building, he delivers
3
of the remaining
amount. How many papers does he have left to deliver?
17. The Rodriquez family has a monthly income of $6000. They budget
food,
1
4
for rent,
1
5
for clothing, and
for other expenses?
1
10
1
3
for savings. How much money is left
18. Estimate, then calculate, each square root to the specified number of
decimal places.
a)
83 to the nearest tenth
b)
56 to the nearest hundredth
c)
0.91 to the nearest hundredth
for