Question

decide whether the congruent statement is true or false

4=9 (mod 2)

Answer 1

does 2 divide 4-9?

Answer 2

@racheltat ?

Answer 3

no! @zzr0ck3r so does that mean its false? do you just subtract the two numbers?

Answer 4

correct
\(a\equiv b\text{ mod}(c)\implies c|(a-b)\)

Answer 5

\(a\equiv b\text{ mod}(c)\iff c|(a-b)\)

Answer 6

it goes both ways....

Answer 7

wow thanks! so 1106=551 (mod 5 ) would be true because 1106-551 equals 555 and that goes in 5?

Answer 8

5 goes into 555

Answer 9

correct

Answer 10

awesome!! sorry to bug you but it seems like you understand mod arithmetic well and i dont lol... example: (7x10) (mod 6) how would i solve a problem like that?

Answer 11

@zzr0ck3r

Answer 12

Im think the answer would be 6?

Answer 13

it just wants the remainder of 70 when divided by 6

Answer 14

so 4

Answer 15

oh gotcha so 11! wow thank you so much

Answer 16

11?

Answer 17

oops never mind i was looking at different problem lol.. i have many equations lol.. thank you for your help!!

Answer 18

70 = 11*6+4, the answer is the 4

Answer 19

word, np

Answer 20

wait one more thing lol!
(43-23) (mod 5) would be 4 right? 43-23 = 20 20/5= 4?

Answer 21

@zzr0ck3r

Answer 22

try again :)

you need to stare at "remainder",
not "quotient"

Answer 23

0

Answer 24

43-23 = 20, and for sure 5 divides 20, so it has a remainder of 0

Answer 25

these questions are simply asking for the remainder of the number when it is divided by the thing in the mod()

Answer 26

@ganeshie8 what do we call the mod(*) thing?
not an operator is it?

Answer 27

oh!! ok i understand! I'm trying to figure out whats left over! that makes so much sense. thank you!! @zzr0ck3r @ganeshie8