Question

Suppose a is an integer. If a mod 11 = 6, what is 4a mod 11?

Answer 1

what is 4*6?

Answer 2

a = 6 (mod 11)

4a = 4*6 (mod 11)

Answer 3

so 24 mod 11?

Answer 4

yes, but its customary to reduce that to a number between from 0 to 10

Answer 5

how many times does 11 go into 24, evenly?

Answer 6

24 mod 11 is 3 correct?

Answer 7

i mean 2

Answer 8

hmm, 22 = 0
23 = 1
24 = 2 , id stick with 2 :)

Answer 9

so 4a = 2? a = 2/4?

Answer 10

or 1/2

Answer 11

a = 6

Answer 12

a = 6 (mod 11) means the same as: a mod 11 = 6

Answer 13

a is any value in an equivalence class ....

6,17,28,39,51, ... 6+11n

Answer 14

so 127 mod 11 = 6?

Answer 15

or am i confusing this? lol

Answer 16

127 - 6 = 121 = 11(11) so yes

Answer 17

all a mod value is, is the remainder that is left over after division

Answer 18

so 4a mod 11 would be 4(127) mod 11?

Answer 19

since a = 6 (mod 11)

and 127 = 6 (mod 11)

then 4(127) = 4(6) (mod 11) = 2 (mod 11)

Answer 20

ok its starting to make sense now, thank you so much

Answer 21

youre welcome :)