Question

If an integer m is divided by 8, the quotient is −4. If −16 is divided by another integer n, the quotient is −8. Find the quotient when m is divided by n.

Answer 1

Answer:

Step-by-step explanation:

When we want to prove some properties about modular arithmetic we often make use of the quotient remainder theorem.

It is a simple idea that comes directly from long division.

The quotient remainder theorem says:

Given any integer A, and a positive integer B, there exist unique integers Q and R such that

A= B * Q + R where 0 ≤ R < B

We can see that this comes directly from long division. When we divide A by B in long division, Q is the quotient and R is the remainder.

If we can write a number in this form then A mod B = R

Answer 2

Answer:

-16

Step-by-step explanation:

-32 divided by 8 = -4

-16 divided by 2 = -8

So , M = -32

N= 2

-32 DIVIDED BY 2 = -16

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