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Scientific Notation & Significant Figures

Scientific Notation & Significant Figures. Accuracy and Precision Review . Precision- how close measurements are to each other (range) Accuracy- how close a measurement is to true value (mean). Significant Figures. Notice that some have very few notches (Blue, green, and purple)

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Scientific Notation & Significant Figures

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  1. Scientific Notation & Significant Figures

  2. Accuracy and PrecisionReview Precision- how close measurements are to each other (range) Accuracy- how close a measurement is to true value (mean)

  3. Significant Figures • Notice that some have very few notches (Blue, green, and purple) • Are they more precise? • They are less precise measurements.

  4. Significant Figures Rules All numbers 1-9 are significant Zeros between numbers are significant Zeros to the left of numbers are NEVER significant Zeros to the right of numbers are significant ONLY IF there is a decimal point.

  5. How many sig figs here? • 1.2 • 2100 • 56.76 • 4.00 • 0.0792 • 7, 083,000,000 • 2 • 2 • 4 • 3 • 3 • 4

  6. How many sig figs here? • 3401 • 2100 • 2100.0 • 5.00 • 0.00412 • 8,000,050,000 • 4 • 2 • 5 • 3 • 3 • 6

  7. Scientific Notation • This is a way of writing a number without so many zeros. • A scientific number has 3 parts: the coefficient, the base, and the exponent. • The base is always x10 • Coefficient is a number • The exponent represents the number of places you moved the decimal in order to convert from standard form to scientific notation

  8. How to convert Rules • When converting from standard form to scientific notation 1.You want to move the decimal to where there is one number decimal and 2 numbers. Example___ . ___ ____ 2.If the number is less than 1, the exponent will always be negative. Example: 0.000028 converts to 2.8 x10 -5 3.If the number is greater than 1, then the exponent will be positive. Example: 13,000,000 converts to 1.3 x10 7

  9. 850,000,000 0.000000025

  10. Scientific Notation- Practice • 800,000,000 m • 0.0015 kg • 60,200 L • 0.00095 m • 4.5 x 103 g • 6.05x 10 -3 m • 8.0 x 108 m • 1.5 x 10-3 kg • 6.02 x 104 L • 9.5 x 10-4 m • 4,500 g • 0.00605 m

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