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Worksheets

Scientific Notation

Total questions: 65

Worksheet time: 1hrs 22mins

Name
Class
Date
1.
Write 7.113 x 107 in standard form.
a)
71,130,00
b)
7,113,000
c)
0.0000007113
d)
7,113
2.
Write 0.00000707 in scientific notation.
a)
7.07 x 10-6
b)
7.07 x 106
c)
707 x 108
d)
707 x 10-8
3.
Write 7.8 x 10-3  in standard form.
a)
0.0078
b)
7,800
c)
78
d)
0.078
4.
Write 8.73 x 10-4  in standard form.
a)
0.000873
b)
0.0873
c)
87,300
d)
8,730
5.
Write 0.037 in scientific notation.
a)
3.7 x 10-2
b)
3.7 x 102
c)
37 x 10-3
d)
37 x 103
6.
Arrange the numbers from least to greatest:
216,000,000 ; 2.2 x 103 ; 3.1 x 107 ; 310,000
a)
2.2 x 10; 310,000; 3.1 x 107 ; 216,000,000
b)
310,000 ; 2.2 x 103 ; 3.1 x 107; 216,000,000
c)
3.1 x 107 ; 310,000; 2.2 x 103; 216,000,000
d)
2.2 x 103 ; 3.1 x 107 ; 310,000 ; 216,000,000
7.
What is scientific notation?
a)
A long way to write really short  numbers
b)
A short way to write really long numbers
c)
I don't know...
d)
None of the above
8.
UNDERSTANDING
If the exponent is a negative number...
a)
you will get a large number
b)
you will get a small number
9.
UNDERSTANDING:
The first number in scientific notation must be...
a)
between and including 0 and 10
b)
between and including 1 and 9.9999
c)
between and including 0 and 9.999
d)
between and including 1 and 10 
10.
How would you write 564,000,000 in scientific notation?
a)
5.64 x 10-7
b)
5.64 x 106
c)
5.64 x 108
d)
56.4 x 107
11.
How would you write 4.3756 x 10in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
d)
4,3756
12.
How would you write 0.0005 in scientific notation?
a)
50 x 105
b)
5 x 10-4
c)
5 x 103
d)
.5 x 10-3
13.
How would you write -5.6 x 10-3 in standard form?
a)
0.0056
b)
-5,600
c)
0.00056
d)
-0.0056
14.

Express the following in standard notation:

8.025 x 10-8

a)

.00000008025

b)

.000000008025

c)

802,500,000,000

d)

80,250,000,000

15.
How do you write
8.317 x 106
in standard form?
a)
8, 371, 000
b)
83, 170, 000
c)
837, 100
d)
8, 317, 000
16.

Scientific Notation is made up of two number parts. The first part should be a number between 1 and 100.

a)

True

b)

False

17.
Multiply:
(3.4 x 105)(1.2 x 10-3)
a)
4.08 x 10-8
b)
4.8 x 102
c)
4.08 x 102
d)
4.08 x 10-15
18.
Divide:
(6.9 x 107) / (2.3 x 10-3)
a)
3 x 1010
b)
3 x 104
c)
3 x 10-4
d)
3 x 10-11
19.
Multiply:
(9.4 x 106)(3.2 x 105)
a)
30.08 x 1011
b)
3.8 x 101
c)
3.008 x 1012
d)
2.9375 x 101
20.
Solve:
(2.1×102​​× (3.0×104)
a)
5.1 x 102
b)
6.3 x 106
c)
5.1 x 106
d)
6.3 x 108
21.
Solve:
(6 x 106) / (2 x 103)
a)
12 x 103
b)
3 x 109
c)
1.2 x 104
d)
3 x 103
22.
Write the answer in scientific notation.
7.3 x 105  +   3.7 x 105  =
a)
11.0 x 105
b)
1.1 x 1010
c)
1.10 x 1011
d)
1.1 x 10 6
23.
Write the answer in scientific notation.
5 x 108 -   3.4 x 108  =
a)
2.4 x 108
b)
2.4 x 100
c)
1.6 x 100
d)
1.6 x 108
24.
Write the answer in scientific notation.
4.1 x 105 +   5.5 x 106  =

a)
5.91 x 106
b)
9.6 x 105
c)
9.6 x 1011
d)
4.65 x 105
25.
What is the simplified version of
a)
3.9 x 106
b)
4 x 1020
c)
4 x 106
d)
3.9 x 1020
26.
(2.3 x 102)+(4.1 x 102)=
a)
6.4 x 104
b)
6.4 x 102
c)
6.4 x 100
d)
.64 x 101
27.
(7.7 x 102) + (1.1 x 102)=
a)
8.8 x 104
b)
6.6 x 104
c)
8.8 x 102
d)
6.6 x 102
28.
Which is the smallest?
1.3 x 1020
2.9 x 1021
9.5 x 1032
8.4 x 1019
a)
1.3 x 1020
b)
2.9 x 1021
c)
9.5 x 1032
d)
8.4 x 1019
29.
Which is the largest?
4.8 x 10-6 
1.3 x 1020
3.1 x 10-4
9.2 x 10-5 
9.5 x 1032
5.9 x 10-5
2.9 x 1021
8.4 x 1019
a)
9.5 x 1032
b)
3.1 x 10-4
c)
8.4 x 1019
d)
4.8 x 10-6 
30.
(2.9 x 10-9) - (1.7 x 10-9)
a)
1.2 x 10-18
b)
1.2 x 10-9
c)
4.6 x 10-9
d)
1.335 x 10-4
31.
Which is GREATER?
27 or 72
a)
27
b)
72
c)
Neither, they are equal
32.
Which number is the BASE?
2= 8
a)
2
b)
3
c)
8
33.

(31y⁴)²

a)

9y⁸

b)

9y⁶

c)

6y⁸

d)

6y⁶

34.
How would you write 4.3756 x 10in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
d)
4,3756
35.
How would you write 0.0005 in scientific notation?
a)
50 x 105
b)
5 x 104
c)
5 x 103
d)
.5 x 103
36.
How would you write -5.6 x 10-3 in standard form?
a)
0.0056
b)
-5,600
c)
0.00056
d)
-0.0056
37.
Express the following in scientific notation:
10,030,400,000
a)
1.00304 x 109
b)
1.00304 x 1010
c)
1.00403 x 1010
d)
1.00304 x10-10
38.
(2 x 109)(4 x 10-4)
a)
8 x 1013
b)
8 x 1036
c)
8 x 105
d)
8 x 10-36
39.
Multiply:
(9.4 x 106)(3.2 x 105)
a)
30.08 x 1011
b)
3.8 x 101
c)
3.008 x 1012
d)
2.9375 x 101
40.
What is the solution for problem 4?
a)
3.003 x 106
b)
2.003 x 106
c)
4.003 x 104
d)
2.003 x 104
41.
How would you write 0.0005 in scientific notation?
a)
50 x 105
b)
5 x 10-4
c)
5 x 103
d)
.5 x 10-3
42.
How do you write
8.317 x 106
in standard form?
a)
8, 371, 000
b)
83, 170, 000
c)
837, 100
d)
8, 317, 000
43.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
44.
How would you write 564,000,000 in scientific notation?
a)
5.64 x 10-7
b)
5.64 x 106
c)
5.64 x 108
d)
56.4 x 107
45.
How would you write 0.0005 in scientific notation?
a)
50 x 105
b)
5 x 10-4
c)
5 x 10-3
d)
.5 x 103
46.
How would you write 564,000,000 in scientific notation?
a)
5.64 x 10-7
b)
5.64 x 106
c)
5.64 x 108
d)
56.4 x 107
47.
Put the following in scientific notation.
2.356 x 10-4
a)
.0002356
b)
.00002356
c)
2,356
d)
23,560
48.
Multiply:
(3.4 x 105)(1.2 x 10-3)
a)
4.08 x 10-8
b)
4.8 x 102
c)
4.08 x 102
d)
4.08 x 10-15
49.
Multiply:
(9.4 x 106)(3.2 x 105)
a)
30.08 x 1011
b)
3.8 x 101
c)
3.008 x 1012
d)
2.9375 x 101
50.
50.1 x 10-3  >  4.8 x 10-1
a)
True
b)
False
51.
Which is the largest?
4.8 x 10-6 
1.3 x 1020
3.1 x 10-4
9.2 x 10-5 
9.5 x 1032
5.9 x 10-5
2.9 x 1021
8.4 x 1019
a)
9.5 x 1032
b)
3.1 x 10-4
c)
8.4 x 1019
d)
4.8 x 10-6 
52.
Place the following numbers in order from least to greatest:
7.8 x 106,    5.1 x 104,  
1.25 x 105,    4.09 x 104
a)
4.09 x 104,  
1.25 x 105,    
5.1 x 104,  
7.8 x 106,
b)
4.09 x 104,    
5.1 x 104,    
1.25 x 105,  
7.8 x 106
c)
1.25 x 105,  
4.09 x 104,    
5.1 x 104,    
7.8 x 106,  
53.
Order the following from greatest to least.
a)
3.2 x 108
1.2 x 108
7 x 105
5 x 103
b)
5 x 103
7 x 105
1.2 x 108
3.2 x 108
c)
7 x 105
5 x 103
3.2 x 108
1.2 x 108
54.
Order the following from least to greatest.
a)
6.8 x 106
6.6 x 106
6.1 x 106
6 x 106
b)
6 x 106
6.1 x 106
6.6 x 106
6.8 x 106
c)
6 x 106
6.6 x 106
6.8 x 106
6.1 x 106
55.
Place the following numbers in order from least to greatest.
a)
7.8 x 106
1.25 x 105
5.1 x 104
4.09 x 104
b)
4.09 x 104
5.1 x 104
1.25 x 105
7.8 x 106
c)
1.25 x 105
4.09 x 104
5.1 x 104
7.8 x 106
56.
Which is the smallest?
1.3 x 1020
2.9 x 1021
9.5 x 1032
8.4 x 1019
a)
1.3 x 1020
b)
2.9 x 1021
c)
9.5 x 1032
d)
8.4 x 1019
57.
Which is the largest?
4.8 x 10-6
3.1 x 10-4
9.2 x 10-5
5.9 x 10-5
a)
4.8 x 10-6
b)
3.1 x 10-4
c)
9.2 x 10-5
d)
5.9 x 10-5
58.

Which one of these is in ascending order?

a)

2.4 x 102, 3.6 x 10-2 , 6.9x 10-3 ,

b)

6.9x 10-3 , 3.6 x 10-2, 2.4 x 102

59.
Place the following numbers in order from least to greatest:
7.8 x 106,    5.1 x 104,  
1.25 x 105,    4.09 x 104
a)
4.09 x 104,   
1.25 x 105,    
5.1 x 104,   
7.8 x 106,
b)
4.09 x 104,    
5.1 x 104,    
1.25 x 105,  
7.8 x 106
c)
1.25 x 105,  
4.09 x 104,    
5.1 x 104,     
7.8 x 106,  
60.
Which one of these is in order from least to greatest?
a)
2.4 x 102,  3.6 x 10-2 ,  6.9x 10-3 ,  
b)
 6.9x 10-3 , 3.6 x 10-2,  2.4 x 102
61.
Order the following from greatest to least:
 5 x 103 
 3.2 x 108
 1.2 x 108
 7 x 105 
a)
 7 x 105 ,  5 x 103 ,
 3.2 x 108,  1.2 x 108
b)
 3.2 x 1081.2 x 108,  7 x 105, 5 x 103 
c)
 1.2 x 108, 3.2 x 108,
 5 x 103 , 7 x 105 
62.
Place the following numbers in order from least to greatest:
7.8 x 106,    5.1 x 104,  
1.25 x 105,    4.09 x 104
a)
4.09 x 104,   
1.25 x 105,    
5.1 x 104,   
7.8 x 106,
b)
4.09 x 104,    
5.1 x 104,    
1.25 x 105,  
7.8 x 106
c)
1.25 x 105,  
4.09 x 104,    
5.1 x 104,     
7.8 x 106,  
63.
Order the following from greatest to least:
 5 x 103 
 3.2 x 108
 1.2 x 108
 7 x 105 
a)
 7 x 105 ,  5 x 103 ,
 3.2 x 108,  1.2 x 108
b)
 3.2 x 1081.2 x 108,  7 x 105, 5 x 103 
c)
 1.2 x 108, 3.2 x 108,
 5 x 103 , 7 x 105 
64.
Place the following numbers in order from least to greatest:
7.8 x 106,    5.1 x 104,  
1.25 x 105,    4.09 x 104
a)
4.09 x 104,  
1.25 x 105,    
5.1 x 104,  
7.8 x 106,
b)
4.09 x 104,    
5.1 x 104,    
1.25 x 105,  
7.8 x 106
c)
1.25 x 105,  
4.09 x 104,    
5.1 x 104,    
7.8 x 106,  
65.
Order the following from greatest to least.
a)
3.2 x 108
1.2 x 108
7 x 105
5 x 103
b)
5 x 103
7 x 105
1.2 x 108
3.2 x 108
c)
7 x 105
5 x 103
3.2 x 108
1.2 x 108