1. Unit 1 Test, “Number Sense”
Name:____________________________________________________________________________________Date:_____/_____/__________
Study Guide/ Practice
Unit 1 Test, “Number Sense”
Note: Many problems in this packet will be completed together in class during review time. Students are not expected to complete every single problem in the packet. They should complete several problems from each page-- in addition to studying the notes and past quizzes– in order to be fully prepared for test.
Topics:
Converting among Fractions, Decimals, and Percentages
Comparing Rational #’s (“greater than” or “less than”)
Ordering Rational #’s (mixture of fractions, decimals, %’s, scientific notation)
Exponents
Perfect Square #’s and Square Roots
Scientific Notation (positive exponents and negative exponents)
On the back of this cover page is the Unit 1 “Quick Guide” – for your reference.

2. Unit 1, “Number Sense,” Quick Guide
Fraction  Decimal
“Take the top #, divide by the bottom #!”
1 = 8 I 1 8
(turn the fraction clockwise)
Negative exponents do NOT make the answer negative!!
Exponents:
10 3 = 10 x 10 x 10 = 1,000
10 -3 = x x = = 0.001
Square Root Examples:
𝟐𝟓 = 5 x 5 = 5
𝟑𝟔 = 6 x 6 = 6
𝟒𝟗 = 7 x 7 = 7

3. Divide by the __________ #!”
Converting fractions, decimals, and percentages
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
“To the ________, to the right!”
“To the _______, to the left!”
Converting between Percents and Decimals:
Converting a Fraction to a Decimal:
“Take the ______ #,
Divide by the __________ #!”
Converting a Decimal to a Fraction: READ IT, ______________ IT, REDUCE IT!!!
SHOW YOUR WORK!
Fraction
Decimal
Percent /8 2.
0.05
45% /3 5.
6.2 6.
9.5% /5
% =
3 4
75 100
0.75
7.5
7,500 =
60% 6%
3 5
6 100
60 100
6 10

4. (List in Original Form):
COMPARING & Ordering rational NUMBERS
Order the following #’s in the order indicated: #
Fraction
Decimal %
Answer
(List in Original Form): 1)
2/3
0.6
59%
ASCENDING (Least to Greatest): 2.
11/8
1.2
1.12%
DESCENDING (Greatest to Least):
Place a > sign, a < sign, or an = sign in the following blanks: 3)
0.8 ________ 55% 5)
40% ________ 0.04 4)
3/4 ________ 0.7 6)
20% ________ 1/5
Circle the answer that makes the following true: 7)
25% < ________ < 0.7
A. 70% B C 8)
0.05 < ________ < 1/2
A. 0.5
B. 0.25 C
Multiple Choice. Circle the correct answer. SHOW YOUR WORK!
Which of the following is equivalent to 5/8 ? A
B %
C x 10-3 D
Four students recorded their scores on a quiz in different ways. Which score is the highest?
A % B
C /100
D /10
Which of the following is equivalent to 0.75?
A %
B /10
C x 10-2 D
Jerry got a 41/50 on his math test. What is his grade as a percentage?
A %
B %
C %
D %

5. Exponents & Powers of 10 Fill in the following powers of 10 chart :
1010= 10,000,000,000
105= __________________
100= __________________
109= _________________
104= __________________
10-1= __________________
108= _________________
103= __________________
10-2= __________________
107= __________________
102= __________________
10-3= __________________
106= __________________
101= __________________
10-4= _________________
Evaluate the following powers of 10 (use the pattern . . .):
Evaluate the following powers of 10 with negative exponents. You must give both
the fraction and decimal form:
Evaluate the following powers with positive exponents:
Evaluate the following powers with negative exponents: =
x x x x 1 10
1 10,000
10 x 10 x 10 x 10 x 10
-10,000 =
x 1 10 20
10 x 10
100
-100
0.01

6. Perfect square #’s and square roots
Fill in the missing information in the below “perfect square” table:
12 = _____
62 = _____
112 = _____
162 = _____
22 = _____
72 = _____
122 = _____
172 = _____
32 = _____
82 = _____
132 = 169
182 = 324
42 = 16
92 = 81
142 = _____
192 = _____
52 = _____
102 = _____
152 = _____
202 = _____
Find the square root of the following numbers :
= __________
= __________
= __________
= __________
= __________
= __________
= __________
= __________
= __________
= __________
= __________
= __________
169
100
121 36
400
225
361 c
Between which two consecutive WHOLE numbers do the following #’s fall between?:
lies between __________ and __________.
lies between __________ and __________.
lies between __________ and __________.
lies between __________ and __________. 10
215 40 95
Bob wants to plant a square garden. The area of the garden will be 86 sq. ft. About how
long will each side be? __________
What perfect square # does the square to the right represent? __________
What is its square root? __________

7. Scientific notation Standard Form Scientific Notation
Convert between scientific notation and standard form. A few examples are done for you.
Standard Form
Scientific Notation
,230,000
6.23 x 106
,200
1.5 x 10-4
,000
6.1 x 10 4 6.
7.02 x 10 3
9.2 x 10 -3 8.
5.26 x 10 -5
,680,000
11.
1.2 x 10 4
12.
2.789 x 10 3
,000
15.
8.3 x 10 0
16.
7.7 x 10 -4
,240,000,000
19.
3.6 x 10 1
20.
8.4 x 10 -4
Order the following from least to greatest:
21)
3.05 x 105
9.845 x 102
6.1 x 109
5.7 x 105
Answer:
22)
8.3 x 10-5
1.68 x 107
2.25 x 104
4 x 104
Answer:

8. Miscellaneous
Multiple Choice:

9. Place the following numbers in the correct spot on the below number line:
0.75
40%
0.01
1/10
80%
1/4