Posted by **Francesca** on Monday, October 10, 2011 at 12:52pm.

How do I solve for negative modular arithmetic?

Here is an example: -45 mod 13 = 7, but how?

- Math -
**Mgraph**, Monday, October 10, 2011 at 12:56pm
-52 mod 13 = 0

-45-(-52)=7

- Math -
**MathMate**, Monday, October 10, 2011 at 12:56pm
You can add multiples of 13 until you get a positive number, example:

-45+4(13)=-45+52=7

or even

-45+10(13)=-45+130=85≡7 mod 13

- Math -
**Francesca**, Tuesday, October 11, 2011 at 11:12am
Thanks for your help!

Also, I am kind of confused about finding the value of x.

Example: 9x ≡ 1 mod 10

How do I solve this?

- Math -
**Anonymous**, Thursday, June 28, 2012 at 10:41pm
how long will it take for a 10,000 investment to grow to 15,000if it is compounded continuously at 5 %

## Answer this Question

## Related Questions

Math - How do I solve for negative modular arithmetic? Here is an example: -45 ...

math - Perform the modular arithmetic operation 6.9 ( mod 5)

Math - I am to find all possible values of a and b where a, b are positive ...

math - Which two is true as i'm confused A) 3+7 10 mod 15 17 + 9 4 mod 21 ...

Math - Which Statements of congruence are true and which are false and why? 177 ...

math - Which Statements of congruence are true and which are false and why? 177 ...

Math - Which Statements of congruence are true and which are false and why? 177 ...

Geometry and Discrete Mathematics (Proofs) - Observe that the last two digits of...

Math - Solve X=8(mod 11), X=9(mod 12), X=10(mod 13)

math - how do we find the least residue of 1789 (mod 4), (mod 10), (mod 101)