Question

-1 mod 19 please show work a =dq+r

Answer 1

Answer:

The given expression can be written as -1=19(-1)+18.

Step-by-step explanation:

According to quotient remainder theorem:

For any integer a and a positive integer d, there exist unique integers q and r such that

$a=d\times q+r$

It can also written as

$a\text{mod }d=r$

The given expression is

$-1\text{mod }19$

Here a=-1 and d=19.

$\frac{-1}{19}=19(-1)+18$

$-1\text{mod }19=18$

If -1 is divides by 19, then the remainder is 18. The value of r is 18.

Therefore the given expression can be written as -1=19(-1)+18.