Math vs Science to a mathematician mathematician 73

  • Slides: 16
Download presentation

Math vs. Science • to a mathematician: mathematician 73 = 73. 000 etc •

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 •

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

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?

How do I figure out how many Significant Figures?

X the easiest way to count sig figs is by using the Atlantic and

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:

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

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

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

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

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

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

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

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

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

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