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Scientific Notation

Dive into the world of scientific notation with this comprehensive quick review on powers of ten. Learn how to convert numbers into scientific notation, including examples like converting 4,776 to 4.776 x 10^3 and 0.0246 to 2.46 x 10^-2. Understand the process of shifting the decimal point and calculating the exponent based on the number of decimal places moved. This guide also covers the conversion from scientific to standard form. Perfect for students and anyone needing a refresher or quick reference on scientific notation and calculator usage.

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Scientific Notation

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  1. ScientificNotation Quick Review

  2. Powers of 10 • http://micro.magnet.fsu.edu/primer/java/scienceopticsu/powersof10/ • http://www.powersof10.com/ • Powers of 10 - Google Videos

  3. Question 1 Write 4,776 in scientific notation Place the decimal immediately to the right of the left-most non-zero number. This should give you a number between one and ten. 4.776 Count the number of digits between the old and the new decimal point, this gives the power, n of 10 (10n). 4 776 3 Digits X 103 Since the decimal is shifted to the left, the exponent is positive. 4.776 x 103

  4. Question 6 Write 0.0246 in scientific notation Place the decimal immediately to the right of the left-most non-zero number. This should give you a number between one and ten 2.46 Count the number of digits between the old and the new decimal point, this gives the power, n of 10 (10n). 0 02 46 2 Digits X 10-2 Since the decimal is shifted to the right, the exponent is negative. 2.46 x 10-2

  5. Question 14 Write 4.953 x 104 in standard form Write the decimal number. 4.953 Move the decimal the number of places specified by the powers of ten: to the right since it is positive. 4 9530 X 104 4 Places Rewrite the number in integer/standard form. 49,530

  6. Question 17 Write 8.397 x 10-1 in standard form Write the decimal number. 8.397 Move the decimal the number of places specified by the powers of ten: to the left since it is negative. 0 8 397 X 10-1 1 Place Rewrite the number in integer/standard form. 0.8397

  7. Multiplying and Dividing With Your Calculator • Punch the number (the digit number) into your calculator. • Push the EE or EXP button. Do NOT use the x (times) button!! • Enter the exponent number. Use the +/- button to change its sign. • Voila! Treat this number normally in all subsequent calculations. • Scientific Calculator • Scientific calculator for chemists with notebook • http://www.calculator.com/calcs/calc_sci.html

  8. Scientific Notation Tutorials • http://www.wwnorton.com/college/chemistry/gilbert/tutorials/ch1.htm (Click on Scientific Notation Link - view tutorial) • http://www.visionlearning.com/library/module_viewer.php?mid=47&l=&c3 (Read Scientific Notation towards the bottom of the page) • http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut3_scinot.htm

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