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Tikkun

Tikkun. Esperanza. Integrity. Fortitude. Scientific Notation. Brainstorm—BIG DISTANCES. Some actual distances. BIG distances Distance from Earth to the moon: 238,900 miles Distance from Earth to the sun: 93,000,000 miles Distance from Earth to Neptune: 2,680,000,000 miles.

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Tikkun

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  1. Tikkun

  2. Esperanza

  3. Integrity

  4. Fortitude

  5. Scientific Notation

  6. Brainstorm—BIG DISTANCES

  7. Some actual distances • BIG distances • Distance from Earth to the moon: 238,900 miles • Distance from Earth to the sun: 93,000,000 miles • Distance from Earth to Neptune: 2,680,000,000 miles

  8. Definition and Explanation of Scientific notation • A positive number is written in scientific notation if it is written in the form: a.b….. x 10r where 1 <a < 10 and r is a power of 10. a.b….. is the coefficient 10 is the base r is the exponent Examples: 4.5 x 103 6.7112 x 10-2

  9. Why does scientific notation make sense? • Powers of 10 • 100= 1 • 101= 10 • 102= 100 • 103= 1,000 • 104= 10,000 • Etc.

  10. Examples • 1.234 = 1.234 x 1 = 1.234 x 100 • 12.34 = 1.234 x 10 = 1.234 x 101 • 123.4 = 1.234 x 100 = 1.234 x 102 • 1234 = 1.234 x 1000 = 1.234 x 103 • 12340 = 1.234 x 10,000 = 1.234 x 104

  11. Steps for writing numbers ≥ 1

  12. Examples • 63,000 = • 833,000.4 = • 810.78 = • 77,250,000 = • 92 = • 140 =

  13. Checking answers 1) 63,000 = 6.3 x 104 • 833,000.4 = 8.330004 x 105 • 810.78 = 8.1078 x 102 • 77,250,000 = 7.725 x 107 • 92 = 9.2 x 101 • 140 =1.4 x 102

  14. Steps for writing numbers in Standard Notation

  15. Examples • 7.65 X 104 • 9.5149 X 106 = • 4.072 X 105 • 6.203369 X 100 = • 9.50000 X 108= • 8.001 X 104 = • 3.8 X 107 =

  16. Checking Answers • 7.65 X 104 = 76,500 • 9.5149 X 106 = 9,514,900 • 4.072 X 105 = 407,200 • 6.203369 X 100 = 6.203369 • 9.50000 X 108= 950,000,000 • 8.001 X 104= 80,010 • 3.8 X 107= 38,000,000

  17. Summary • Example: 5.763 x 105 • # > 1 in sci. not.: • Find decimal • Move dec. in btwn 1st and 2nd digit • # spaces = exp. • # > 1 in std. form • Decide direc move dec. • Write coeff • Move dec & add place holders

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