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Simplify completely. (-4.702)(10 9 ) 2. (3.45)(10 -6 )

Simplify completely. (-4.702)(10 9 ) 2. (3.45)(10 -6 ). Lesson 8.4: Scientific Notation. Scientific Notation – a short way to write a very long number. - 1 < decimal < 10, times a power of 10. Ex. 7.26 x 10 5 Examples: Standard Form 1) 3,240,000,000,000 2) 0.000000000021

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Simplify completely. (-4.702)(10 9 ) 2. (3.45)(10 -6 )

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  1. Simplify completely. • (-4.702)(109) • 2. (3.45)(10-6)

  2. Lesson 8.4: Scientific Notation Scientific Notation – a short way to write a very long number. - 1 < decimal < 10, times a power of 10. Ex. 7.26 x 105 Examples: Standard Form 1) 3,240,000,000,000 2) 0.000000000021 Write the above in Scientific Notation Scientific Notation 1) 3.2 x 1012 2) 2.1 x 10-11

  3. Write in Scientific Notation. 1) -32,400,000 2) 0.00000083 8.3 x 10-7 -3.24 x 107

  4. Write in Standard Form. 1) 4.53 x 10-5 2) -8.316 x 108 0.0000453 -831,600,000

  5. Multiply – Answer in Scientific Notation: 1) (3.8 x 103)(4.1 x104) 2) (2.3 x 10-4)(8 x 106) [(3.8)(4.1)] [(103)(104)] (15.58)(103+4) (15.58)(107) (1.558 x 101)(107) 1.558 x 101+7 1.558 x 108 [(2.3)(8)] [(10-4)(106)] (18.4)(10-4+6) (18.4)(102) (1.84 x 101)(102) 1.84 x 101+2 1.84 x 103

  6. 4) (2.1 x 10-3)2 3) (8.5 x 10-2)(7 x 10-7) [(8.5)(7)][(10-2)(10 -7) 59.5 x 10(-2)+(-7) (5.95 x 101)(10-9) 5.95 x 101+(-9) 5.95 x 10-8 (2.1)2 (10-3)2 4.41 x 10(-3)(2) 4.41 x 10-6

  7. 5) 1.3 x 10-1- (-3) 1.3 x 102

  8. Homework: p. 473-474, #16-46 evens, #54, 56, 61, 63

  9. To write a number in scientific notation: • Move decimal point so there is only ONE NON-ZERO digit to the left of the decimal point • Multiply (use X for times symbol) by a power of 10 • Exponent = the number of places you moved the decimal point. • Exponent is positive if “large” number, Exponent is negative if “small” number.

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