mad2104-1 - serum 10 11 12 13 14 15 16 17 Discrete...

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: serum 10. 11. 12. 13. 14. 15. 16. 17. Discrete Mathematics Y. Sagher . Prove that a number is rational itf its decimal representation becomes periodic. (Repeated 0’s is periodic!) . Write the number 035— as a ratio of two integers Write the number 352—7 as the ratio of two integers. Prove that between any two rational numbers there is a rational number. Prove that between any two rational numbers there is an irrational Hum“ ber. . Let x1 = x/i and mm 2 V1 + mn_1. Prove that for all n, m” is an irrational number. Prove that n . 3 ‘ 2 ' 9=1 . Prove that two integers have the same remainder when divided by a third number, q, if and only if their difference is divisible by q. . Prove that a number written in the decimal system has the same remainder when divided by 9 as the sum of its digits. Prove that the sum of a rational number and an irrational number is an irrational number. Prove that the sum of two rational numbers is a rational number. Prove that between any two numbers there is a rational number. Prove that between any two numbers there is an irrational number. Show that the sum of two irrational numbers can be a rational number or an irrational number. What are all the possible remainders when you divide the square of an integer by 5? Prove that the square root of an integer is either an integer or an irrational number. Let d be the greatest common divisor of 102876 and 894. (a) Find d (b) Find integers so and y so that d = 102876 - 2: + 894 - y ...
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern