Question

Perform the modular arithmetic operation.

[(5 - 9) ∙ 3] (mod 5)
A. 1

B. 2

C. 0

D. 3

Answer 1

What methods did you try to solve this problem ??

Answer 2

Not sure , i dont understand this problrm

Answer 3

Ok. I will give you an example problem and then you try your problem

1)7 mod(4) means what is the remainder you get when you divide 7 by 4. The answer is 3
2)19 mod(3) means what is the remainder you get when you divide 19 by 3. The answer is 1

Now try your problem :)

Answer 4

Just to make it clearer, the modulus (of 5 for instance) is a function defined such that we want the difference of the multiple of 5 nearest to 5. For instance: -27 mod 5 = 3, not 2, as you would think, because -30 is closer to -27 than -25 :-)

Answer 5

Clue : Make sure your remainder is positive

Eg
(-4) mod (3) = means what is the remainder you get when you divide -4 by 3. The answer is 3
-6 -(-3) = 3

Answer 6

I mean, closer in the sense that it's the less than -27 and it's the closest to it.

Answer 7

@bmp 's method for negative numbers is more understandable :) Now @Bree96, you can surely try now

Answer 8

My grammar is way off today; I mean, my sentences are confuse. Anyway, it's the difference of the multiple of 5 that is less than a given number and the closest to it.