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Introduction to Scientific Notation in Chemistry

This resource provides a comprehensive overview of scientific notation, a crucial concept in chemistry. It reviews how to express numbers in the form of ( a times 10^n ), where ( 1 leq a < 10 ). The document covers various examples, such as converting numbers between standard and scientific notation, multiplying and dividing exponents, and understanding how to add numbers with differing exponents by converting them to a common form. Ideal for students looking to reinforce their understanding of scientific notation in chemistry.

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Introduction to Scientific Notation in Chemistry

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  1. Intro to Chemistry

  2. Scientific Notation • Review your handout from before • 10 = 1 x 101 • 1000 = 1 X 103 = 10 x 10 x 10 • .1 = 10-1 = 1/10 • .01 = 10-2 = 1/100 = 1/102 • .001 = 10-3 = 1/1000 = 1/103 • 1 = 10 • 2000 = 2(1000) = 2 x 103 ↑ • any number between 1-10 = 10+or-

  3. 600,000 = 6 x 105 • 17,000,000 = 1.7 x 107 • 602200000000000000000000 = 6.022 x 1023 • 2070000000 = _______________ • .0036 = ___________________ • .00000512 = _________________ • .00000000085 = ______________

  4. Multiplying using exponents = add them together • 106 x102 = 108 • 2 x 104 x 3 x 103 = 6 x 107 • (5 x 102) (7 x 105) = 35 x 107 = 3.5 x 108 ↑ only 1 number before the decimal in scientific notation

  5. Dividing Exponents = subtract them • 105 / 103= 102 • 8 x 105 / 2 x 109 = 4 x 10-4 • If you are adding, 102 + 103, do not add unlike exponents • Instead, convert back to original form then add • So, 102 = 100 and 103 = 1000 which = 100 + 1000 = 1100 = 1.1 x 103

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