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# 465 Class Note for MA 15200 at Purdue

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This 4 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at Purdue University taught by a professor in Fall. Since its upload, it has received 26 views.

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Date Created: 02/06/15

MA 15200 Lesson 4 Section P2 part 2 and Section P3 part 1 I Writing Numbers in Scienti c Notation A number is written in scienti c notation when it is in the form a X 10quot where l S lal lt 10 and n is an integer If the original number is 10 or greater the exponent of the base 10 will be positive Ifthe original number is less than 1 the exponent ofthe base 10 will be negative If the original number is at least 1 but less than 10 the exponent of the base 10 will be zero A positive exponent of 10 corresponds to a 10 or larger number A negative exponent of 10 corresponds to a decimal number less than 1 m Write each standard number in scienti c notation a It has been estimated that in the year 2020 the world population will be approximately 7516000000 Source US Bureau of the Census International Data Base b A grain of sand has a mass of 00648 grams Ex 2 Write each scienti c notation number as a standard number a The lightest known particle in the universe a neutrino has a maximum mass of 18 X1046 kg Source Guinness Book of World Records 2004 b Aton of 5dollar bills is worth 454 gtlt106 II Computations with Scienti c Notation Multiply or Divide the Numeral parts Use the Product or Quotient Rules of Exponents with the base 10 Readjust if necessary to write number in scienti c notation If directed convert scienti c notation to a standard decimal number Ex 3 Use scienti c notation to simplify these computations Write answers in scienti c notation and in decimal notation a 38X10 44lgtlt108 48 000 b 000032 c 45000000000212000 000018 d 6500045000 250 000000001 EX 4 Use scienti c notation to solve these application problems a The mass on one proton is 167248 gtlt103924 gram Find the mass of one billion of these protons b A sheet ofplastic shrink wrap has a thickness of 000015 mm The sheet is 1200 mm by 79 mm Find the volume of the sheet in cubic mm c In a certain country taxes for 2008 of 18 gtlt1012 were collected If there were 244 million people what was the average amount of taxes per person Round to the nearest thousandth in scienti c notation and convert that number to a standard decimal number I Sguare Roots If b2 a then b is a square root of a If a is a nonnegative real number the nonnegative number b such that b2 a denoted by b J2 is the principal square root of a radical sign gt CFradicand radical expression Ex 1 Evaluate each If not real write not real a Z 25 b J c J3664 d Ema e 49 Many times students believe that Val a However the principal square root is always positive Examine the following J87J648 WJa8 not 8 8 2 J6 8 mm which is not real 11 Other T es of Roots In general J67 a Therefore we will always assume that variables represent positive numbers in order to avoid using absolute value signs b means that bquot a Ifn is even then a and b must be positive Ifn is odd a and b can be any real numbers index dZ If no index is written the root is assumed to be a square root EX 2 Evaluate each If not real write not real a 43 125 b 4 81

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