Name _____________________________
A. Simplify.
1. 2

3
2.
 
3
Exponents & Scientific Notation Quiz Study Guide
3. 5
4 
5

6
B. Multiply or divide.
5.
2
5
6.
( )
3
2
7.
 
3
2
2
C. Multiply or divide. Write the product or quotient as one power.
4.

8

7
 
2
8.
-
7
2
9. n
1  n
4  n
7
10. 4
3 
4
2 
4
0 
4
1 u
7
11. u
2
6
3
12.
6
5
D. Write each number in standard notation.
13. 4.81
´
10
3
14. 3 .
56

10

4
E. Write each number in scientific notation.
15. 5 .
12

10
0
16. 235,000,000 17. -3,400 18. 0.0000000067
F. Simplify each expression. Write all answers in scientific notation. Show work!
19. (1.42
´
10
6
)
-
(2
´
10
3
) 20.
3.5
´
10
9
7
´
10
5
21. (5.1
´
10
7
)(
-
1.2
´
10
4
)
G. Solve. Write all answers in scientific notation. Show work!
22. Johnny says that 23,000 is written as 2.3 x 10 3 . Is he correct? Why or Why not?
23. Jupiter is about 778,120,000 km from the sun. Write this number in scientific notation.
24. A microscope can view objects 0.0000875 mm thick. A supermicroscope can view objects 2000 times as thick. How thick can the supermicroscope objects be viewed? (write in scientific notation)
25. True or False: 2.6 x 1 5 is an example of a number written in scientific notation. If true, explain why it is true. If false, explain why and write in the correct format.

Name _____________________________
A. Write each number in standard notation.
1. 4.81
´
10
3
2. 3 .
56

10

4
Scientific Notation Quiz Study Guide
3. 5 .
12

10
0
B. Write each number in scientific notation.
4. 235,000,000 5. -3,400 6. 0.0000000067
7. Order from greatest to least: 650,000 , 6.5
´
10
4
,
-
6.5
´
10
4
, 0.0065 , 6.5
´
10
-
4
C. Simplify each expression. Write all answers in scientific notation. Show work!
8. (1.42
´
10
0
)
-
(2
´
10
-
3
) 9. (2.7
´
10
5
)
+
(6
´
10
3
)
10.
3.5
´
10
9
7
´
10
-
5
11. (5.1
´
10
7
)(
-
1.2
´
10
4
)
D. Solve. Write all answers in scientific notation. Show work!
12. John says that 23,000 is written as 2.3 x 10 3 . Is he correct? Why or Why not?
13. If a computer can perform an addition operation in 1.5x10
-6 seconds, in how much time can it perform
1500 addition operations?
14. The population of Mathville is 5.6x10
3 . The population of Algeville is 1.3x10
4 . How many more people are there in Algeville?
15. A microscope can view objects 0.0000875 mm thick. A supermicroscope can view objects 2000 times as thick. How thick can the supermicroscope objects be viewed? (write in scientific notation)
16. True or False: 2.6 x 1 5 is an example of a number written in scientific notation. If true, explain why it is true. If false, explain why and write in the correct format.

Name ___________________________
Class ________
____/ 30
Unit 1 – Exponent & Scientific Notation Quiz
A. Matching: Simplify each expression and write the letter of its simplest form. You must show work for partial credit. (2 points)
____ 1.
(
-
3)
3
A. 5 x
10
B. 27
____ 2. x
-
1 · x
7
____ 3.
2 x
0
5 x
2
____ 4.
10 x
8
2 x
-
2
C. x
8
D.
-
10 x
2
E. 9 x
4
F. x
6
G. -27
____ 5.
-
3
3
B. Write each number in scientific notation. (2 points)
6. 1,600,000,000 = ___________________
H.
x
2
10
7. 0.0000289 = ______________________
C. Write each number in standard form. (2 points)
8. 2.3 x 10 4 = _______________________
10. Circle which is larger : 2.6 x 10 -2 or 2.5 x 10²
9. 7.46 x 10 -6 = ______________________

D. Simplify each expression. Write all answers in scientific notation. You must show work for partial credit! (2 points)
11.
(2 x 10³) + (4.1 x 10²)
= ___________________
12.
3
´
10
4
´
10
13
5
=
_______________________
13. Joe won 12 million dollars playing the lottery, but has to pay 150,000 in gift taxes. How much money did he actually win?
_______________________
14. Giant’s refrigerator shelves hold 1,250 cartons of milk. If the store restocks the shelves 100 times per month, what is the total number of cartons sold per month?
_______________________
15. Ted says that 0.0023 is written as 2.3 x 10 3 . Is he correct? Why or Why not? Please respond using complete sentences.

Name ___________________________
Class ________ ____/
27
Unit 1 –Scientific Notation Quiz
A. Matching: Write the letter of the matching form for each expression. You must show work for partial credit. (2 points)
____ 1.
-
3.1
´
10
3
____ 2.
3,100, 000
A. -
3.1
B. 3.1
´
10
1
____ 3.
3.1
10
0
____ 4. 3.1
´
10
-
2
C. -
0.0031
D. 3.1
´
10
5
E. 0.031
____ 5.
-
31
F. 3.1
´
10
6
G.
-
3,100
6. Given the numbers: 650,000 , 6.5
´
10 4
,
-
6.5
´
10 4 , 0.0065 , 6.5
´
10
-
4 a. Which one is the smallest? b. Which one is the largest?
_______________________ _______________________
B. Simplify each expression. Write all answers in scientific notation. You must show work for partial credit! (3 points)
7.
(2 x 10³) + (4.1 x 10²)
= ___________________
8.
3
´
10
4
´
10
13
5
=
_______________________

9. Joe won 12 million dollars playing the lottery, but has to pay 150,000 in gift taxes. How much money did he actually win?
_______________________
10. Giant’s refrigerator shelves hold 1,250 cartons of milk. If the store restocks the shelves 100 times per month, what is the total number of cartons sold per month?
_______________________
11. Ted says that 0.0023 is written as 2.3 x 10 3 . Is he correct? Why or Why not? Please respond using complete sentences.