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Scientific Notation and Standard Form

Total questions: 37

Worksheet time: 3hrs 12mins

Name
Class
Date
1.

The half-life of Uranium is 2.5 x 105 years. What is this in standard form?

a)

2500000

b)

250

c)

25000

d)

250000

2.

Write 4.83 x 10-6 in Standard Form.

a)

0.00048300

b)

0.00004830

c)

0.00000483

d)

0.00000438

3.

Convert 0.0000037 to Scientific Notation.

a)

.37 x 10-7

b)

3.7 x 10-6

c)

37 x 10-5

d)

370 x 10-4

4.

Mercury’s average distance from the sun is 57,190,000 km. What is the distance in scientific notation?

a)

5719 x 104

b)

571.9 x 105

c)

57.19 x 106

d)

5.719 x 107

5.

(3 x 107)(3.1 x 10-4)

a)

9.3 x 10-28

b)

9.3 x 103

c)

6.1 x 103

d)

6.1 x 10-28

6.
a)

2.1 x 106

b)

2.1 x 10-6

c)

9.9 x 106

d)

9.9 x 10-6

7.

The average distance from Jupiter to the Sun is about 5 x 108 miles. The average distance from Venus to the Sun is about 7 x 107 miles. Which planet is further from the Sun?

a)

Venus

b)

Earth

c)

Mars

d)

Jupiter

e)

Saturn

8.

Subtract the scientific notation.

(3 x 10³) - (2.9 x 10²)

a)

2.71 x 10⁵

b)

2.71 x 10³

c)

2.71 x 10⁶

d)

2.71 x 10⁴

9.

Add the scientific notation:

(6.2 x 10²) + (9.7 x 10⁰)

a)

.6297 x 10²

b)

6.297 x 10⁰

c)

6.297 x 10³

d)

6.297 x 10²

10.

Add with scientific notation.

(5.2 x 10⁷) + (3.01 x 10⁴)

a)

5.20301 x 10¹¹

b)

.520301 x 10⁷

c)

5.20301 x 10⁷

d)

5.20301 x 10⁸

11.

Subtract with scientific notation.

(4.01 x 10⁸) - (7.32 x 10⁶)

a)

-3.936 x 10⁸

b)

3.936 x 10⁸

c)

3.936 x 10⁷

d)

3.936 x ⁻²

12.

Divide the scientific notation:

(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

13.

Divide the scientific notation:

5.2 x 1013 / 1.5 x 107

a)

3.9 x 106

b)

4 x 1020

c)

3.4 x 106

d)

3.9 x 1020

14.

Multiply the scientific notation:

(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

15.
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 
16.
The mean distance from the sun to Earth is 9.29 x 107 miles. Jupiter's mean distance from the sun is 4.8388 x 108 miles. What is the difference between these two distances in miles? 
a)
4.3092 x 101
b)
3.9098 x 107
c)
3.9098 x 108
d)
5.7678 x 108
17.
A microgram is equal to 1 x 10 -6 grams. How many times greater than a microgram is 1 x 102 grams? 
a)
1 x 10-8
b)
1 x 10-4
c)
1 x 104
d)
1 x 108
18.
A computer's hard disk drive holds 8 x 107 bytes of information.  If Jill buys an extra memory stick that holds 3 x 106 bytes of information, how much memory will the computer hold?
a)
11 x 1013
b)
11 x 107
c)
8.3 x 1013
d)
8.3 x 107
19.

The mass of he sun is 1 x 1030 kilograms. The mass of the earth is 5 x 1024 kilograms. How many times bigger is the sun than the earth?

a)

2 x 105

b)

5 x 106

c)

4 x 1030

d)

2 x 106

20.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
21.

A TV show had 3.5 × 106 viewers for their first episode and 8.5 × 106 viewers for their second episode. How many viewers did they have overall?

a)

1.2 x 107

b)

1.2 x 10-7

c)

1.2 x 106

d)

1.2 x 10-6

22.

Write the following in Scientific Notation

.000789

a)

78.9

b)

7.89 x 10-4

c)

7.89 x 104

d)

79

23.
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,  
24.
Convert the following number to standard form:
8.15 x 106
a)
815,000
b)
815,000,000
c)
8,150,000
d)
0.00000815
25.
True or False:  The following is written in scientific notation:  13.5 x 108
a)
TRUE 
b)
 FALSE
26.
Which of these numbers are NOT in scientific notation?
a)
1.2 x 103
b)
5.3 x 109
c)
2.0 x 100
d)
10 x 102
27.
The Diplodocus dinosaur is believed to have become extinct approximately 1.38x108 years ago.  The Oviraptor is believed to have become extinct approximately 7x107 years ago.  How many years were there between the extinction of these two dinosaur types?
a)
6.8 x 108
b)
6.8 x 109
c)
68 x 108
d)
6.8 x 107
28.
By area, Russia is the largest country in the world. It has an area of 8.649 x 106 square miles. Canada is second with 4.797 x 106 square miles. What is the difference in area?
a)
3.852 x 106 square miles
b)
3.852 x 100 square miles
c)
1.803 x 106 square miles
d)
1.803 x 101 square miles
29.
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
30.
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 
31.
(3.8×107)×162
a)
6.156×109
b)
6.156×108
c)
615×107
d)
615×108
32.

How many numbers can be in front of the decimal if the number is in correct scientific notation?

a)

Only a Zero

b)

One

c)

Two

d)

Any amount

33.
How do you write
1001
in scientific notation?
a)
1.0001 x 104
b)
1.01 x 105
c)
1.001 x 103
d)
10.1 x 103
34.

Divide. Give the quotient in scientific notation.

(3 x 10-5)/(4 x 102)

a)

7.5 x 10-3

b)

7.5 x 10-8

c)

.75 x 10-7

d)

 7.0 x 102

35.

Multiply. Give the product in scientific notation.

(9.6×103) × (6.7×102)

a)

6.432×105

b)

6.432×106

c)

6.432×101

d)

6.432 x 107x\ 10^7  

36.

Give the difference in scientific notation.

(8.7 x 109) - (2.5 x 107)

a)

6.2 x 102

b)

6.2 x 109

c)

7.23 x 107

d)

8.675 x 109

37.

Give the sum in scientific notation.

(4.8 x 108) + (5.4 x 108)

a)

1.02 x 108

b)

1.02 x 109

c)

9.2 x 108

d)

9.2 x 101610^{16}  

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