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Why Scientific Notation?
A short-hand way of writing numbers without writing all of the zeros. Scientific Notation Video
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How many protons are in the Sun if it’s made up entirely of protons?
Mass of the sun = 2 x kg Mass of a proton = x kg Video Answer
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Using a Calculator (not a phone)
On a scientific calculator, scientific notation is done with the button. 1.5 x 108 is typed “EE” or “10x” are also used
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Scientific Notation to Standard Form
Multiply by the power of ten 3.4 x 105 in scientific notation 3.4 x (or 3.4 [exp] 5) 340,000 in standard form
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A number is expressed in scientific notation when it is in the form
a x 10n where a is between 1 and 10 and n is an integer
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The Distance From the Sun to the Earth
150,000,000 km Write in scientific notation!
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Step 1 150,000,000 = 1.50000000 Move decimal left
Leave only one number in front of decimal 150,000,000 =
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Step 2 Write number without zeros 150,000,000 = 1.5
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Step 3 Count how many places you moved decimal Make that your power of ten 150,000,000 km = 1.5 x 10 km 8
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The power of ten is 8 because the decimal moved 8 places. 8
150,000,000 km= 1.5 x 10 km 8
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Practice Problem -----> -----> -----> ----->
Write in scientific notation. Decide the power of ten. 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
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Express 0.000 000 0902 in scientific notation.
Where would the decimal go to make the number be between 1 and 10? 9.02 The decimal was moved how many places? 8 When the original number is less than 1, the exponent is negative. 9.02 x 10-8
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More Practice Problems
Convert to Scientific Notation = ______ 0.870 = ______ 0.009 = _______ = _______ Answers 7.34 x 10-2 2) x 10-1 3) 9 x 10-3 4) 1.09 x 10-3
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Express 1.8 x 10-4 in standard notation.
Express 4.58 x 106 in standard notation.
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More Practice Problems
Convert to Scientific Notation = ______ = ______ = _______ Answers 3) 9 x 1010 7.34 x 108 2) 8.7 x 1011
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More Practice Problems
Convert to Scientific Notation with 3 significant digits = ______ = ______ = _______ Answers 3) 6.00 x 109 9.03 x 109 2) x 10-3
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Converting Units Use the given conversions and set up an equation
Convert 1500 m to km We know 1km = 1000m, so set up the equation: 1km = __?_km__ x1500 = 1.5 km 1000m m
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Converting Lightyears
1 light year = 9.5 x 1012 km Use the following equation to convert ly to km and km to ly 1ly = ly__ 9.5 x 1012 km km or 9.5 x 1012 km = ____km __ 1ly ly
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