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Intro to Algebra Farris 2015. I can express numbers in standard form and scientific notation. I can compare and order numbers written in scientific notation.

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Presentation on theme: "Intro to Algebra Farris 2015. I can express numbers in standard form and scientific notation. I can compare and order numbers written in scientific notation."— Presentation transcript:

1 Intro to Algebra Farris 2015

2 I can express numbers in standard form and scientific notation. I can compare and order numbers written in scientific notation.

3 Standard Form  Numbers that do not contain exponents.  12.76 million = 12,760,000  12.76 millionths = 0.00001276

4 Scientific Notation  A number that is expressed as a product of a factor and a power of 10.  The factor must be greater than or equal to 1 and less than 10.  a x 10 n, where 1 ≤ a < 10 and n is an integer  3,500,000 = 3.5 x 10 6  0.00004 = 4 x 10 -5

5 A quick “math short”  What????? I forgot to wear my math shorts today!  https://www.youtube.com/watch?v=DXT uYjPDjqQ https://www.youtube.com/watch?v=DXT uYjPDjqQ

6 Let’s DO IT!  Express in standard form 2 x 10 3 6.8 x 10 5 3.25 x 10 -4 2000 100,000 0.000325

7 Let’s do it!  Express numbers in scientific notation 4,000,000 5800 0.072 4 x 10 6 5.8 x 10 3 7.2 x 10 -2

8 Word Problems  In a recent year, route U.S. 59 in the Houston area averaged approximately 338,510 vehicles per day. About how many vehicles was this during the entire year? (use estimation About 1.24 x 10 8

9 Compare and Order Numbers in Scientific Notation  First compare the exponents Positive numbers – the greater exponent is greater (bigger) If the exponents are the same – compare the factors

10 Let’s DO IT!  The diameters of Neptune, Saturn, and Uranus are 4.9 c 10 4 km, 1.2 x 10 5 km, and 5.1 x 10 4 km, respectively. Order the planets from greatest to least diameter. Saturn, Uranus, Neptune

11  List the states in the table from least to greatest production of maple syrup. StateAmount of Syrup Produced (L) Maine1.10 x 10 6 New Hampshire3.14 x 10 5 New York9.65 x 10 6 Vermont1.89 x 10 6 Wisconsin3.79 x 10 5 New Hampshire, Wisconsin, New York, Maine, Vermont


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