When we have really large or really small numbers, we generally use scientific notation. This type of notation is simply a compact way to display a number. In order to place a number in scientific notation, we revisit some properties of multiplication with 10.

Test Objectives
• Demonstrate an understanding of multiplication/division by 10
• Demonstrate the ability to write a number in scientific notation
• Demonstrate the ability to perform operations with numbers in scientific notation
Scientific Notation Practice Test:

#1:

Instructions: Write each number in scientific notation.

a) 972,000,000

b) 0.0000162

#2:

Instructions: Write each number in scientific notation.

a) 5,331,000,000,000,000

b) 0.000000001050137

#3:

Instructions: Write without exponents.

a) 4.78 x 105

b) 1.951 x 10-10

#4:

Instructions: Write without exponents.

a) 3.18 x 100

b) 6.28 x 10-4

#5:

Instructions: Write without exponents.

a) (12 x 10-4)(8 x 104)

b)

 2.05 x 109 1.6 x 10-2

Written Solutions:

#1:

Solutions:

a) 9.72 x 108

b) 1.62 x 10-5

#2:

Solutions:

a) 5.331 x 1015

b) 1.050137 x 10-9

#3:

Solutions:

a) 478,000

b) 0.0000000001951

#4:

Solutions:

a) 3.18

b) 0.000628

#5:

Solutions:

a) 96

b) 128,125,000,000