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
Write number without zeros
Step 3
Count how many places 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) 279,000,000 = 2.79 x 10?
9.85 x 107
6.41 x 1010
2.79 x 108
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) 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
Complete Practice Problems
Write 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
What do you do if the
number is less than 1?
0.000036
3.6 x 10 -5
0.0000007589
7.589 x 10 -7
• 0.000000000000256987
• 2.56987 x 10 -13
Scientific Notation to
Standard Form
Move the decimal to the right if
exponent is positive.
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 104
6,270,000
90,100
Scientific Notation to
Standard Form
• Move the decimal to the left is the
exponent is negative.
• 3.6 x 10-6
• 7.85 x 10-2
Write in Standard Form
6.27 x 10 -6
9.01 x 10 -4