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SCIENTIFIC NOTATION

SCIENTIFIC NOTATION. What is the distance from the Earth to the Sun in meters?. 140,000,000,000 meters!!! But I‘m WAY too lazy to write out all those zeros! … what should I do?. Why use Scientific Notation. Scientific notation is a way of expressing really big numbers or really small numbers.

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SCIENTIFIC NOTATION

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  1. SCIENTIFIC NOTATION

  2. What is the distance from the Earth to the Sun in meters? • 140,000,000,000 meters!!! • But I‘m WAY too lazy to write out all those zeros! … what should I do?

  3. Why use Scientific Notation • Scientific notation is a way of expressing really big numbers or really small numbers. • For very large and very small numbers, scientific notation is more concise. • 140,000,000,000 meters  1.4 X 1011 meters

  4. What does Scientific Notation look like? • A number between 1 and 10 • A power of 10 N x 10x

  5. To write numbers in scientific notation • Place the decimal point so that there is one non-zero digit to the left of the decimal point. • Count the number of decimal places the decimal point has “moved” from the original number. This will be the exponent on the 10. • If the original number was less than 1, then the exponent is negative. If the original number was greater than 1, then the exponent is positive.

  6. Examples • Given: 289,800,000 • Use: 2.898 (moved 8 places ) • Answer: 2.898 x 108 • Given: 0.000567 • Use: 5.67 (moved 4 places ) • Answer: 5.67 x 10-4 • Given number > 1?….. Exponent is POSITIVE • Given number < 1? ….. Exponent is NEGATIVE

  7. To change from Scientific Notation to Standard Form • Simply move the decimal point to the right for positive exponent 10. • Move the decimal point to the left for negative exponent 10. (Use zeros to fill in places.)

  8. Examples • Given: 5.093 x 106 • Answer: 5,093,000 (moved 6 ) • Given: 1.976 x 10-4 • Answer: 0.0001976 (moved 4 )

  9. Learning Check • Express these numbers in Scientific Notation: • 405789 • 0.003872 • 3000000000 • 2 • 0.478260

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