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Scientific Notation

Scientific Notation. Advantages of scientific notation. Allows for very large and very small numbers to be written in a more manageable form It can make calculations with very large and very small numbers easier if a calculator is not available. The general format of scientific notation is

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Scientific Notation

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  1. Scientific Notation

  2. Advantages of scientific notation • Allows for very large and very small numbers to be written in a more manageable form • It can make calculations with very large and very small numbers easier if a calculator is not available

  3. The general format of scientific notation is N x 10y Where 1< N < 10 And y indicates the number of places and direction the decimal moves

  4. Positive exponents To convert 1234000.000 into scientific notation we move the decimal behind the first number. Count the number of places moved and that number becomes the exponent on the 10. 1234000 000 . And you get 1.234000000 x 106

  5. To put the number back into regular notation you move the decimal back to the right the number of places stated by the exponents The exponent is 4, therefore the decimal moves 4 places. 3 678 3 678 x 104 . And you get 36780

  6. Negative Exponents • To convert 0.00123 into scientific notation, we move the decimal behind the first non-zero digit. The number of spaces moved becomes the exponent on the 10, but as a negative. 0 00123 . 1.23 x 10-3

  7. Scientific Notation • Converting into Sci. Notation: • Move decimal until there’s 1 digit to its left. Places moved = exponent. • Large # (>1)  positive exponentSmall # (<1)  negative exponent • Only include sig figs. 65,000 kg  6.5 × 104 kg

  8. EXE EXP EXP ENTER EE EE Scientific Notation • Calculating with Sci. Notation (5.44 × 107 g) ÷ (8.1 × 104 mol) = Type on your calculator: 5.44 7 8.1 4 ÷ = 671.6049383 = 670 g/mol = 6.7 × 102 g/mol

  9. Using a Calculator • Type in the number • Press Exp and enter the exponent value • DO NOT MULTIPLY BY 10. The exp does that for you.

  10. Type in the number • Press Exp and enter the exponent value • DO NOT MULTIPLY BY 10. The exp does that for you.

  11. Type in the number • Press EE and enter the exponent value • DO NOT MULTIPLY BY 10. The EE does that for you.

  12. Type in the number • Press 2nd x-1 and enter the exponent value • DO NOT MULTIPLY BY 10. The 2nd x-1 does that for you.

  13. Type in the number • Press Exp and enter the exponent value • DO NOT MULTIPLY BY 10. The exp does that for you.

  14. Copying Answers from a calculator If answer on calculator looks like this X X 27 2E7 Do not write it like that!!! Instead, write it as 2 x 107

  15. Practice Problems (7.35X10-11)(3.21X1023)(1.69X10-19) (9.6X103)(7.15X1015)(25.7) (0.000357)(757391)(250 (7531)(2.53X1021) (3.576X10-5)(6.35X107)(523) (32571)(7.55X1057) = 2.3X10-27 =3.5X10-21

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