A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Please help me I really need help....

  • This Question is Closed
  1. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[m= 10^{32}+2\] When m is divided by 11, the remainder is r Which one is greater or are they equal. Quantity A: r Quantity B: 3

  2. freckles
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[10^2 \mod 11 =100-9(11)=1 \\ 10^{2 \cdot 16 } \mod 11 \equiv (10^2)^{16} \mod 11 \equiv ...\] I'm just using the repeated squares method to find what 10^(32) divided by 11 is

  3. freckles
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    do you think you can finish this method

  4. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    huh?

  5. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    what is mod?

  6. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    the answer says something about finding a pattern in this: |dw:1437431905761:dw|

  7. freckles
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    well basically a mod n gives us the remainder for when a is divided by n

  8. freckles
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    but there are lots of method to help us solve the above but if you don't know mod then it likely you don't know methods such as the repeated squares method

  9. freckles
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ok so you want to see if you can a pattern in the remainders above well 10+2 is 12 what is the remainder of 12 divided by 11 ?

  10. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    1

  11. freckles
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1437432052883:dw| ok let's continue what is the remainder of 10^4+1 when it is divided by 11

  12. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    OHHHHHH okay so it'll be 3

  13. freckles
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1437432204940:dw| so the pattern seems to be alternating between 1 and 3

  14. freckles
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so notice the odd exponents on the 10 gave us 1 and the even exponents on the 10 gave us 3

  15. freckles
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    32 is even

  16. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yassssssssssss

  17. freckles
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so 10^(32)+2 mod 11 is 3 and since you don't know mod \[\text{ remainder of } \frac{10^{32}+2}{11} \text{ is } 3 \]

  18. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.