Download Scientific Notation

Scientific Notation
A short-hand way of writing
large numbers without
writing all of the zeros.
The Distance From the
Sun to the Earth
93,000,000
Step 1
Move decimal left
Leave only one number in front of
decimal
Step 2
Drop the zeros after the decimal point
This number is called the COEFFICIENT
Step 3
Multiply your COEFFICIENT by 10…just
write the X 10.
9.3 x 10
Step 4
Count how many places originally you
moved decimal
Make that your power of ten
The power of
ten is 7 because
the decimal
moved 7 places.
93,000,000 --Standard Form
9.3 x 107 --Scientific Notation
Practice Problem
Write in scientific notation.
Decide the power of ten.
1) 98,500,000 = 9.85 x 10?
3) 0.00000279 = 2.79 x 10?
9.85 x 107
6.41 x 1010
2.79 x 10-6
4) 4,200,000 = 4.2 x 10?
4.2 x 106
2) 64,100,000,000 = 6.41 x 10?
More Practice Problems
On these, decide where the decimal will be moved.
1) 0.0000681 = ______ x 10-5
2) 870,000,000,000 = ______x 1011
3) 90,000,000,000 = _____ x 1010
1) 6.81 x
10-5
2) 8.7 x
1011
3) 9 x 1010
Complete Practice Problems
Write in scientific notation.
1) 50,000
2) 0.0000072
3) 802,000,000,000
1) 5 x 104
2) 7.2 x 10-6
3) 8.02 x 1011
Scientific Notation to
Standard Form
If exponent is positive, move decimal to the
RIGHT. If exponent is negative, move
decimal to the LEFT!
3.4 x 105 in scientific notation
3.40000 --- move the decimal
340,000 in standard form
Write in Standard Form
6.27 x 106
9.01 x 10-4
6,270,000
0.000901