1 / 13

Simplifying Scientific Notation Lesson: Multiply and Write in Standard Form

Learn to simplify numbers using scientific notation by moving decimal points and multiplying by powers of 10. Master multiplication and conversion between standard form and scientific notation.

weigand
Download Presentation

Simplifying Scientific Notation Lesson: Multiply and Write in Standard Form

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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.

More Related