wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

Scientific Notation and Exponents

Total questions: 20

Worksheet time: 56mins

Name
Class
Date
1.
A microgram is equal to 1 x 10 -6 grams. How many times greater than a microgram is 1 x 10grams? 
a)
1 x 10-8
b)
1 x 10-4
c)
1 x 104
d)
1 x 108
2.
As part of a community service project, a class planted 7x10 trees in a year.  If there are 3.5x103 students in the school, how many trees did each student plant?
a)
2 x 108
b)
2 x 102
c)
3.5 x 108
d)
3.5 x 102
3.
Write 9,450,000 in scientific notation.
a)
9.45 x 104
b)
9.45 x 105
c)
9.45 x 106
d)
.945 x 107
4.

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)

Add

b)

Subtract

c)

Multiply

d)

Divide

5.
A computer's hard disk drive holds 8 x 10bytes 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
6.

The US spends an average of 2x104 dollars on each student per year. There are about 6.x107 students in the US. About how much money total is spent on students per year?

a)

1.2 x 1013

b)

1.2 x 1012

c)

8. x 1011

d)

4 x 1028

7.

Convert this number into scientific notation: 0.068

a)

6.9 x 106

b)

6.8 x 10-9

c)

6.8 x 10-2

d)

None of the above

8.
Simplify the expression: 
c4⋅c3=
a)
c12
b)
c4+3
c)
c7
9.
a)
b)
c)
d)
10.

x6 / x2

a)

x4

b)

x12

c)

x3

d)

x8

11.

x-3

a)

-x3

b)

1 / x3

c)

1 / x-3

d)

-x-3

12.
a)
b)
c)
d)
13.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
14.

 (x7)2\left(x^7\right)^2  =

a)

 x14x^{14}  

b)

 x9x^9  

c)

 x5x^5  

d)

 2x72x^7  

15.

 (a3b5)7\left(a^3b^5\right)^7  =

a)

 a3b35a^3b^{35}  

b)

 a10b12a^{10}b^{12}  

c)

 a8b8a^8b^8  

d)

 a21b35a^{21}b^{35}  

16.
Evaluate the expression using the Same Base, Division rule.
a)
214 z13
b)
22/z7
c)
214/ z7
d)
2z7
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.

 9x23x=\frac{9x^2}{3x^{ }}=  

a)

 3x23x^2  

b)

 3x3x 

c)

 9x9x  

d)

 6x6x  

19.
Simplify the expression.
x4 (x12)
a)
x3
b)
x48
c)
x16
d)
x8
20.
X⋅ X⋅ X⋅ X
a)
x9
b)
x24
c)
x10
d)
x25