Download Scientific Notation - Brookwood High School

Scientific Notation
A short-hand way of writing large or
extremely small decimal numbers
without writing all of the zeros.
The Distance From the Sun to
the Earth…
93,000,000 miles!
How do I write this number
in scientific notation so I
don’t have to keep writing
all these zeros?!?!
How to write a standard form
number in scientific
notation…
Step 1:
• Move the (understood) decimal from
behind the last zero to the left
• The decimal should be moved until it
comes directly after the first number
How to write a number that is
in standard form in scientific
notation…
Step 2:
• Write the number in decimal form
without the zeros
How to write a number that is
in standard form in scientific
notation…
Step 3:
• Count how many places you moved
the decimal
• Make the number of places you
moved the decimal your power of ten
How to write a number that is
in standard form in scientific
notation…
The power of
ten is 7 because
the decimal
moved 7 places
to the left.
Standard Form -vs- Scientific
Notation
•93,000,000 --- Standard Form
•9.3 x 107 --- Scientific Notation
Practice Problems
1. Write the standard form of each number in
scientific notation.
2. Decide the power of ten by counting how
many places the decimal was moved.
1)
2)
3)
4)
98,500,000 = 9.85 x 10?
64,100,000,000 = 6.41 x 10?
279,000,000 = 2.79 x 10?
4,200,000 = 4.2 x 10?
9.85 x 107
6.41 x 1010
2.79 x 108
4.2 x 106
More Practice Problems
In the following three problems, decide
where the decimal will be moved and write
your complete answer in scientific notation.
1) 734,000,000 = ______ x 108
2) 870,000,000,000 = ______x 1011
3) 90,000,000,000 = _____ x 1010
1) 7.34 x
108
2) 8.7 x
1011
3) 9 x 1010
Even More Practice Problems
Write the following standard notation
numbers in scientific notation.
1) 50,000
2) 7,200,000
3) 802,000,000,000
1) 5 x 104
2) 7.2 x 106
3) 8.02 x 1011
How to write Scientific
Notation numbers in
Standard Form
Use your exponent to determine how many
times the decimal should be moved to the
right.
3.4 x 105 in scientific notation
3.40000 --- move the decimal
340,000 in standard form
Write the following Scientific
Notation numbers in
Standard Form
• 6.27 x 106
• 9.01 x 104
• 6,270,000
• 90,100