10B
Powers of Ten
• A power of ten is the number ________________ multiplied by itself a certain number
of times. The power can be either ________________________________ or
________________________________.
•
Powers of 10 can we written with ______________________________,
_________________________, and _________________________________.
Examples:
Exponential Form
Fraction
10
1
101
10-1
Complete the tables for powers of 10.
Exponential
Form
Fraction
Decimal
Decimal
10
1
10
0.1
Exponential
Form
102
10-2
103
10-3
104
10-4
105
10-5
106
10-6
107
10-7
108
10-8
109
10-9
1010
10-10
Fraction
Decimal
Powers of 10 can also be written as _____________________________ multiplied together.
Examples:
Exponential Form
Fractions Multiplied
Together
Decimal
104
10
x
10
x
10
x
10
10,000
10-4
1
x
1
x
1
x
1
0.00001
1
10
Solve the following.
1
1) Write
in exponential form
1,000
1
10
1
10
1
10
2) Write in decimal form
1
1
1
1
1
x x x x x
10
10
10
10
10
1
10
x
1
10
x
1
10
3) Write 10-12 in fraction form
4) Write 105 as fractions multiplied together
5) Write 100,000 in exponential form
6) Write in exponential form
10 10 10 10 10
x x x x
1
Put the following in ascending order:
1
2
7) 125%, 1.2 x 102, 1 , 1.26
Put the following in descending order:
8) 5%, 5.1 x 10-3,
1
, 0.04
25
1
1
1
1
Powers of Ten Homework
Write the following as a fraction and a decimal.
1) 104
2) 10-1
3) 103
4) 10-3
5) 105
6) 10-2
7) 100
8) 10-5
9) 101
Complete the Table
Exponential
#
Form
10)
Fractions Multiplied Together
10-4
11)
10,000,000
10
12)
13)
Decimal
1
102
x
10
1
x
10
1
x
10
1
x
10
1
14)
0.000000001
1
15)
10
x
1
10
x
1
10
x
1
10
x
1
10
x
1
x
1
10 10
16) Put the following in ascending order
1.7 x 103 , 0 , 1.7 x 10-4 , 10-3
____________________________________________
17) Put the following in descending order
8.01 x 102 , 10-1 , 105 ,
1
2
, 3.79
____________________________________________