Log Tables https://www.youtube.com/watch?v=VRzH4xB0GdM 1) Word study – Criminal Records Fill in a sample “criminal record” for three words from the list. logarithm, mistake, mathematical table, calculator, lad, professional, decimal places, multiplication, simplification 1 2 3 4 5 6 Name John Smith fat Place of residence 29 Baker Street West Croydon body Known associates Peter Jackson Arthur Baines carbohydrates cholesterol Criminal record robbery, terrorism, kidnapping heart disease ugliness 2) True or false? a) Common logarithm, also known as the decimal logarithm, was named after its base. b) Henry Briggs was an American mathematician who pioneered its use. c) Common logarithms are indicated by log[e](x). d) The method of logarithms was publicly propounded by John Napier in 1514, in a book entitled Mirifici Logarithmorum Canonis Descriptio. e) Due to their utility in saving work in laborious multiplications and divisions with pen and paper, tables of base 10 logarithms were given in appendices of many books. f) Such a table of "common logarithms" gave the logarithm, often to 14 or 15 decimal places, of each number in the left-hand column, which ran from 1 to 10 by small increments, perhaps 0.01 or 0.001. g) There was only a need to include numbers between 1 and 10, since the logarithms of larger numbers can then easily be derived. h) Electronic calculators were not in widespread use before the early 1970s. i) Early digital computers were developed during World War I. in part to produce specialized mathematical tables for aiming artillery. j) Numbers between (and excluding) 0 and 2 have negative logarithms. 3)Listen to and watch the video about logarithm tables. Then try to explain: a) How and why can you replace multiplication and division by addition and subtraction? ------------------------------------------------------------------------------------------------- ------------------------------------------------------------------------------------------------- b) How do you work with log tables (i.e. how can you find log[10](37) or log[10](59)? --------------------------------------------------------------------------------------------------- ----------- --------------------------------------------------------------------------------------------------- ----------- c) What do you use antilogarithm tables for? --------------------------------------------------------------------------------------------------- ------------ --------------------------------------------------------------------------------------------------- ------------- d) What does the professor think about accuracy and reliability of log tables? --------------------------------------------------------------------------------------------------- -------------- --------------------------------------------------------------------------------------------------- ---------------