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Scientific Notation
A short-hand way of writinglarge numbers without writing all of the zeros.
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The Distance From the Sun to the Earth
93,000,000 miles
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Step 1
Move decimal to the left Leave only one number in front of
decimal
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Step 2
Write number without zeros
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Step 3
Count how many places you moved decimal
Make that your power of ten
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The power often is 7 becausethe decimalmoved 7 places.
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93,000,000 --- Standard Form
9.3 x 107 --- Scientific Notation
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Practice Problem
1) 98,500,000 = 9.85 x 10?
2) 64,100,000,000 = 6.41 x 10?
3) 279,000,000 = 2.79 x 10?
4) 4,200,000 = 4.2 x 10?
Write in scientific notation. Decide the power of ten.
9.85 x 107
6.41 x 1010
2.79 x 108
4.2 x 106
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More Practice Problems
1) 734,000,000 = ______ x 108
2) 870,000,000,000 = ______x 1011
3) 90,000,000,000 = _____ x 1010
On these, decide where the decimal will be moved.
1) 7.34 x 108 2) 8.7 x 1011 3) 9 x 1010
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Complete Practice Problems
1) 50,0002) 7,200,0003) 802,000,000,000
Write in scientific notation.
1) 5 x 104 2) 7.2 x 106 3) 8.02 x 1011
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Scientific Notation to Standard Form
Move the decimal to the right
3.4 x 105 in scientific notation
340,000 in standard form
3.40000 --- move the decimal
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Write in Standard Form
6.27 x 106
9.01 x 104
6,270,000 90,100