Math vs Science to a mathematician mathematician 73
- Slides: 16
Math vs. Science • to a mathematician: mathematician 73 = 73. 000 etc • to a scientist, 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. 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)
How do I figure out how many Significant Figures?
X 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 Pacific Ocean (left side) of #
Decimal point absent: • Start on Atlantic (right) side of # • Start counting with first non-zero digit & count until reach end of # 5400 m 5431 m has 2 sig figs 4 sig figs 5400 5431
Decimal point present: • Start on Pacific (left) side of # • Start counting with first non-zero digit & count until reach end of # 2545. 300 g has 7 sig figs 2545. 300 0. 004530 km has 4 sig figs 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 figs as data number with least number of sig figs
24. 56 cm x 14 cm = 2 sig figs 1. 343. 84 cm 2 2. 343. 8 cm 2 3. 343 cm 2 4. 340 cm 2 correct answer: 4
when doing calculations that involve: Addition and Subtraction answer: only have as many decimal places as data number with least number of decimal places
422. 63 cm 29. 472 cm +________ 115. 9 cm a) 568. 002 cm b) 568. 00 cm c) 568. 0 cm d) 568 cm 1 decimal place correct answer: C
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