unit Measurement number 42.5 g 1.05 mL 16 cm measurement: quantity with _______ and a _____. 42.5 g 1.05 mL 16 cm number unit

Scientific Notation a really big number: 100,000,000,000,000 In scientific notation all numbers are written in the form m × 10n (m times ten raised to the power of n), where the exponent n is an integer, and the coefficient m is any real number between 0 and 10. Another example: 431000 m = 4.31 x 105 m a really big number: 100,000,000,000,000 (atoms in a cell) or really small number: 0.000 000 000 01 meter (size of one atom) can be written without zeroes by using powers of 10. Expressing very large numbers, such as the estimated number of stars in a galaxy, is easier if scientific notation is used. Do some on the board as examples of moving decimal back and forth (10 min)

Scientific Notation 100,000,000,000,000 = 1 x 1014 atoms (atoms in a cell) 0.000 000 000 01 meter = 1 x 10–11 meters (size of an atom) Expressing very large numbers, such as the estimated number of stars in a galaxy, is easier if scientific notation is used. Do some on the board as examples of moving decimal back and forth (10 min)

Accurate and Precise but not Neither Precise Nor Accurate _______ Yes good acc poor prec is possible with average Accurate and Precise but not Neither Precise Nor Accurate _______ Precise ________ Accurate

Accuracy, Precision, and % Error Accuracy: Precision: how close to the actual or true value Precision: how close to each other (repeatable)

Accuracy, Precision, and % Error % Error = ________ x 100% acc |exp – acc| exp – experimental value acc – accepted (known) value The Percent Error is a form of discrepancy between an exact (known) value and some approximation (experiment) to it.  With multiple data/trials, use average for “experimental”.

% Error Calculation: What is the % error if a measurement of 99.1oC is made, but the true temperature is 100.0oC? (Is being off by 9 cm a lot or a little? It depends on whether you are measuring the length of a piece of paper or the distance to here to Philly for the X Games.

Quick Quiz! 1. Which of the following expressions has NOT been correctly changed to sci. not.? 0.00456 = 4.56  10–3 0.0000254 = 2.54  10–5 8,426,000 = 8.426  106 45,200 = 4.52  103 Scientific notation change both numbers to standard and compare (Do these on board)

Quick Quiz. 2. Which set of measurements of a 2.00-g object is the most precise? 2.00 g, 2.13 g, 1.92 g 2.10 g, 2.00 g, 2.20 g 2.05 g, 2.04 g, 2.05 g 1.50 g, 2.00 g, 2.50 g