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Math vs. Science. t o a mathematician : 73 = 73.0 = 73.00 = 73.000 etc t o a scientist , these numbers have a more complicated meaning. Numbers in Science. c ounts are exact and have infinite number of significant figures there are 30 desks in this room
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Math vs. Science • to a mathematician: 73 = 73.0 = 73.00 = 73.000 etc • to a scientist, these numbers have a more complicated meaning
Numbers in Science counts are exact and have infinite number of significant figures • there are 30 desks in this room 30 = 30. = 30.0 = 30.00 = 30.000 desks
significant figures are used for data calculations in chemistry because.. • dealing with large numbers of very small particles • often written to power of 10 • ex: (3.26 x 10-5)
X X the easiest way to count sig figs is by using the Atlantic and Pacific Rule the easiest way to count sig figs is by using the Atlantic and Pacific Rule
to help determine how to count # of sig figs ask yourself this question: does the number have a decimal point? decimal point Absent start counting from Atlantic Ocean (right side) of # decimal point Present start counting from PacificOcean (left side) of #
5400 m 2sig figs has 4 sig figs Decimal point absent: • Start on Atlantic (right) side of # • Start counting with firstnon-zero digit & count until reach end of # has 5400 5431 m 5431
has 7 sig figs 0.004530 km has 4 sig figs Decimal point present: • Start on Pacific (left) side of # • Start counting withfirstnon-zerodigit & count until reach end of # 2545.300 2545.300 g 0.004530
sometimes, after math calculations your answer may not contain enough sig figs because… there are zeros that are not considered significant answer: 5300 but need 3 sig figs
if you want a zero to be significant draw a line above to show that it is significant
once in a BLUE MOON rule 5300 cm becomes: 5300 cm _
when doing calculations that involve: Multiplication and Division answer: only have as many sig figsas data number with least numberof sig figs
24.56 cm x 14 cm = 2 sig figs 343.84 cm2 343.8 cm2 343 cm2 340 cm2 correct answer: 4
when doing calculations that involve: Addition and Subtraction answer: only have as many decimal placesas data number with least numberof decimal places
+ 422.63 cm 29.472 cm 115.9 cm 1 decimal place ________________ a) 568.002 cm b) 568.00 cm c) 568.0 cm d) 568 cm correct answer: C