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What is it, why do we need it and how do we do it.

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How long would it take to count to one million? How many atoms are in one cup of water? What is the mass of the earth in grams? What is the rest mass of a single electron?

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23 days. It might not seem like it but a million is a big number but small when compared to other much larger numbers in science.

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24,000,000,000,000,000,000,000,000 One glass of water has that many atoms in it. That is more atoms than there are cups of water in all the oceans.

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24,000,000,000,000,000,000,000,000 One glass of water has that many atoms in it. That is more atoms than there are cups of water in all the oceans. sextillion septillion quintillion quadrillion trillion billion million thousand hundred

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6,000,000,000,000,000,000,000,000,000g The mass of the earth!

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The rest mass of a single electron! 0.000000000000000000000000000000911kg

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Which number is easier to use? 0.000000000000000000000000000000911kg or 9.11x10 -31 kg 24,000,000,000,000,000,000,000,000g or 2.4 x10 25 6,000,000,000,000,000,000,000,000,000g or 6 x10^ 27

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Calculating the force of gravity the sun exerts on the earth. Multiplication and Division are easier!

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An abbreviation for very large and very small numbers in science.

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1a) Identify five objects smaller than the eye can see. 1b) Briefly Describe what the object is. 1c) Express its size in scientific and standard notation. 2a) Find five objects bigger than the sun. 2b) Briefly Describe what the object is. 2c) Express its size in scientific and standard notation. 3) Is the sun a large object on astronomical scales? 4) What is scientific notation and why do we use it? Click the Picture of a Link, if that is Down Click Here.Here

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Order of Magnitude: Using the scale of the universe app, what order of magnitude do the following objects have in meters? Express them in scientific notation and include a fact about them. A Human Being Titanic Boeing 747 Hummingbird Mitochondrion A Blue Whale Angel Falls Tyrannosaurus Rex String Up Quark Water Molecule Mount Everest Ant Ganymede Proxima Centauri Observable Universe Total Human Height Sirius A Kuiper Belt Gomez’s Hamburger Glucose Tarantula Nebula Andromeda Galaxy A Light Year ESTIMATE Height of School Telephone Pole Length of CT Distance of US Length of Mall Height of Holy Land Diameter of Golf Ball Length of Pencil Thickness of Paper The Number of Golf balls that could fit: On a school bus. In a suitcase In our classroom In a bathtub BINGO! Guess How Many Jelly Beans are in the Jar and Win it!

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An abbreviation for very large and very small numbers in science.

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Some number written in the form A x 10 B one non-zero number to the left of a decimal point. Move decimals left or right and count the spaces. Moving Left = positive exponent (big numbers) Moving right = negative exponent (small numbers) Some number written in the form A x 10 B one non-zero number to the left of a decimal point. Move decimals left or right and count the spaces. Moving Left = positive exponent (big numbers) Moving right = negative exponent (small numbers) 100 1000 24,000 365,445 2 0.001 0.000001 0.0000904 5.03 x 10 6 4.3x10 -8 100 1000 24,000 365,445 2 0.001 0.000001 0.0000904 5.03 x 10 6 4.3x10 -8 1.Where is the decimal? 2.Where do I want it? 3.How far did I move it? 4.Negative or Positive?

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1234 1,020,000 18,300 54,234,012 4 million 0.00109 0.0000000034 0.0000904 1/10 12 thousandth 2.345x10 9 3.03 x 10 8 2.1x10 -6 9x10 -31 1234 1,020,000 18,300 54,234,012 4 million 0.00109 0.0000000034 0.0000904 1/10 12 thousandth 2.345x10 9 3.03 x 10 8 2.1x10 -6 9x10 -31 Convert to Scientific Notation Convert to Standard Notation

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An abbreviation for very large and very small numbers in science.

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Rule 1 Example

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Rule 1 Example Multiply the leading numbers and add the exponents!

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Calculating the force of gravity the sun exerts on the earth. 6.67 x 1.9891 x 5.97219 x 10 (-11 + 30 + 24) 1.496 x 1.496 x 10 (11+11)

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(3x10 8 ) x (6x10 1 ) = (2.235x10 8 ) x (6.453x10 1 ) =

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Rule 2 Example

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Rule 2 Example Divide the leading numbers and subtract the exponents!

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(8x10 8 ) (4x10 1 ) = (3x10 4 ) (6x10 7 ) =

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(2x10 2 ) + (4x10 1 ) = (2.5x10 4 ) + (4.4x10 3 ) = Convert to same power. Keep the exponent. Add the leading numbers Convert to same power. Keep the exponent. Add the leading numbers

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(4.45x10 9 ) x (3.43x10 0 ) = (2.5x10 5 ) x (3x10 6 ) = (4x10 13 ) x (3x10 2 ) = (2x10 4 ) x (3.5x10 2 ) = (2.5x10 4 ) - (4.4x10 3 ) = (2x10 2 ) - (4x10 1 ) = (3.6x10 5 ) + (4x10 6 ) = Convert to same power. Keep the exponent. Add the leading numbers Convert to same power. Keep the exponent. Add the leading numbers Multiplying Multiply the Leading numbers Add the Exponents Multiply the Leading numbers Add the Exponents Divide the Leading numbers Subtract the Exponents Divide the Leading numbers Subtract the Exponents Dividing Adding and Subtracting (9x10 6 ) (3x10 4 ) (9.34x10 6 ) (3.85x10 4 ) (4x10 4 ) (8x10 6 ) (12x10 6 ) (3x10 7 ) = = = =

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