Scientific Notation SWBAT Determine how to place number

Scientific Notation

SWBAT • Determine how to place number in and out of scientific notation. Determine the purpose of why we use scientific notation.

Do Now • Determine how many miles away our sun is away from the Earth.

Common Instrument Volume of Regular, Rectangular Objects (a box) Volume of Irregularly Shaped Objects (rocks) Mass Distance Time

What does it mean if you are asked to record your answer: a. to the nearest tenth one decimal place Example: 0. 1 b. to the nearest hundredth two decimal places Example: 0. 01 c. to the nearest thousandth three decimal places Example: 0. 001

Powers of 10 clip Scientific notation- “shorthand” for numbers Example: - 3. 0 x 103 = - 3. 0 x (10 x 10) = 3000

80, 000 = 8 x 104 9500= 520, 000 = 42, 000, 000=

Exit • Thumbs up/down • Begin: Working on scientific notation handout. • Homework: Continue working on handout from class.

Scientific Notation is A. Useful in only Earth Science B. Can only be use for very large number C. Can only be used for very small numbers D. Useful in all branches of science

True or False Thumbs Up or Thumbs Down Scientific Notation can only be used for very large numbers? False

Begin Class Assignment If Time Allows • • • • • Scientific Notation Worksheet Convert the following numbers into scientific notation: 1) 3, 400 ________________ 2) 0. 000023 ________________ 3) 101, 000 ________________ 4) 0. 010 ________________ 5) 45. 01 ________________ 6) 1, 000 ________________ 7) 0. 00671 ________________ 8) 4. 50 ________________ Convert the following numbers into standard notation: 9) 2. 30 x 104 ________________ 10) 1. 76 x 10 -3 ________________ 11) 1. 901 x 10 -7 ________________ 12) 8. 65 x 10 -1 ________________ 13) 9. 11 x 103 ________________ 14) 5. 40 x 101 ________________ 15) 1. 76 x 100 ________________ 16) 7. 4 x 10 -5 ________________

Answers to Class Assignment 1) 3, 400 3. 4 x 103 2) 0. 000023 2. 3 x 10 -5 3) 101, 000 1. 01 x 105 4) 0. 010 1. 0 x 10 -2 5) 45. 01 4. 501 x 101 6) 1, 000 1 x 106 7) 0. 00671 6. 71 x 10 -3 8) 4. 50 x 100 Convert the following numbers into standard notation: 9) 2. 30 x 104 23, 000 10) 1. 76 x 10 -3 0. 00176 11) 1. 901 x 10 -7 0. 0000001901 12) 8. 65 x 10 -1 0. 865 13) 9. 11 x 103 9, 110 14) 5. 40 x 101 54. 0 15) 1. 76 x 100 1. 76 16) 7. 4 x 10 -5 0. 000074