M135F07A5

M135F07A5 - MATH 135 Assignment #5 Hand-In Problems 1. (a)...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
MATH 135 Fall 2007 Assignment #5 Due: Wednesday 24 October 2007, 8:20 a.m. Hand-In Problems 1. (a) Convert (84 808) 9 to base 10. Show your work. (b) Convert 37 390 to base 16, using A for ten, B for eleven, C for twelve, D for thirteen, E for fourteen, and F for fifteen. Show your work. 2. Add and multiply the numbers (3157) 8 and (445) 8 , expressing your answers in base 8. 3. (a) Determine the prime factorizations of 39 204 000 and 9 922 500. (b) Determine gcd(39 204 000 , 9 922 500) and lcm(39 204 000 , 9 922 500). (c) Determine the number of positive divisors of 9 922 500. (d) Determine the number of positive common divisors of 39 204 000 and 9 922 500 that are multiples of 10. 4. A positive integer n is called a perfect square if n = m 2 for some positive integer m . (a) If n is a perfect square and n has prime factorization n = p c 1 1 · · · p c k k , prove that c 1 ,c 2 ,...,c k are all even. (b) Suppose that
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 03/19/2009 for the course M m135 taught by Professor Marshman during the Spring '09 term at Waterloo.

Page1 / 2

M135F07A5 - MATH 135 Assignment #5 Hand-In Problems 1. (a)...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online