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Scientific notation edmodo 2013 14
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Scientific notation edmodo 2013 14

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Transcript

  • 1. 
  • 2. It's the Speed of light !
  • 3.  The first number 1.23 is called the coefficient.  It must always be greater than or equal to 1 and less than 10.
  • 4.  The second number is called the base .  It must always be 10 in scientific notation.  The base number 10 is always written in exponent form.
  • 5.  In the number 1.23 x 1011the number 11 is referred to as the exponent or power of ten.
  • 6.  Put the decimal after the first digit in order to determine the co-efficient.  In the number 123,000,000,000 The coefficient will be 1.23  To find the exponent count the number of decimal places from the decimal to the end of the number.  In 123,000,000,000 there are 11 places. Therefore we write 123,000,000,000 as:
  • 7. 1) Place decimal point so that you have a number greater than or equal to one and less than ten. 2) Count the number of decimal places the decimal has "moved" from the original number. This will be the exponent of the base 10.
  • 8. 4,750,000 use: 4.75 (moved 6 decimal places) answer: 4.75 X 106 The original number was greater than 1 so the exponent is positive.
  • 9. 1) Convert 439,000 to ________________. 2) Convert 85,000,000 to ______________. 3) Convert 26,000,000,000 to ___________. 4) Convert 2,000,000 to _____________. 5) Convert 53,000,000 to ________________.
  • 10. 1) Move decimal point to right for positive exponent of 10—make the number larger. 2) Move decimal point to left for negative exponent of 10—make the number smaller.
  • 11. 6) Convert 3.0 × 106 to ____________. 7) Convert 1 × 108 to ____________. 8) Convert 3.7 × 107 to ___________. 9) Convert 1.3 × 103 to ___________. 10) Convert 2.9 × 109 to _________.
  • 12. 5.024 x 103 answer: 5,024 (3 places to right) Positive exponent move decimal to the right.
  • 13. This is the mass of a dust particle!
  • 14.  Numbers smaller than 1 will have a negative exponent.  A millionth of a second is: 0.000001 sec. In scientific notation: 1.0 x 10-6
  • 15. 0.000789 use: 7.89 (moved 4 decimal places) answer: 7.89 x 10-4 The original number was less than 1 so the exponent is negative. Standard to Scientific Notation
  • 16. 1) Move decimal point to right for positive exponent of 10—make the number larger. 2) Move decimal point to left for negative exponent of 10—make the number smaller.
  • 17. 1.015 x 10-5 answer: 0.00001015 (5 places to left) Negative exponent move decimal to the left. Scientific Notation to Standard
  • 18. 1,450,000 20,300,000 0.0000045 0.00000051 1.45 x 106 2.03 x 107 4.5 x 10-6 5.1 x 10-7
  • 19. 5.3 x103= 6.34 x105= 5.56 x10-5= 6.02 x 10-6= 5,300 634,000 0.0000556 0.00000602