






Lesson 8.1 Laws of Exponents: Multiplying Monomials Number Sieves 


Number sieves have been used for hundreds of years in mathematics. A number sieve is a series of tests that filters out unwanted values. Mathematicians use them to generate series of numbers with special properties. We will use sieves to create lists of the powers of the positive integers. First, though, let’s look at some background information. 


Internet Activity 


Activity 8.1 Click this link to view your assignment for this activity. http://go.hrw.com/resources/go_mt/a1/c8/ASIEVES.PDF 





Adobe Acrobat Reader You will need Adobe Acrobat Reader to open and print the activity. To download the reader, click "Adobe Acrobat Reader" above. http://www.adobe.com/products/acrobat/readstep.html 


Exploration 


Sieve of Eratosthenes The most famous number sieve was used by Eratosthenes around 200 BCD to generate the list of prime numbers. http://mathforum.org/dr.math/faq/faq.prime.num.html 





Background on Prime Numbers This article discusses the history of prime numbers. http://wwwgap.dcs.stand.ac.uk/~history/HistTopics/Prime_numbers.html 





Ivar Peterson’s MathTrek article on “Lucky Numbers” This site introduces a different sequence of numbers with properties similar to those of prime numbers. http://www.maa.org/mathland/mathtrek1.html 
