Name _______________________
Algebra I
Date __________
Scientific Notation
 Today we will learn to convert numbers to scientific notation and be able to
perform operations with numbers in scientific notation.
 By the end of class, you will be turn numbers in standard form to scientific
notation and scientific notation to standard form and be able to add, subtract,
multiply and divide numbers in scientific notation.
A number is written in scientific notation when it is in the form ____________________
and c is a single digit followed by a ____________ point and the rest of the number and n
is an _______________.
Standard Form
23,000
Scientific Notation
0.00345
785, 201
0.0123
3,000
0.005
2,009,000
1.57 x 10 6
4.2 x 10 4
5.673 x 10 2
3.567 x 10 7
1.03 x 105
6.8 x 10−8
Order 2.7 x 10 5 , 3.401 x 10 4 , and 27,500 from least to greatest.
Evaluate the expression. Write answers in scientific notation.
(2.85 x 107) + (1.61 x 109)
(1.263 x 109) – (1.525 x 107)
(6.5 x 10-6) (4.5 x 109)
(1.08 x 10-3) (9.3 x 10-3)
(10.5 1012 )
(5.6 105 )
(2.3 × 10 4 ) 3
The average distance from Earth to the Sun is 1.46 x 108 kilometers. The average
distance from Earth to the Moon is 3.84 x 105 kilometers. About many more times as
great is the distance from Earth to the Sun than to the Moon?