Question

HELP!

Answer 1

here i come to the rescue!

Answer 2

1+2+5 AND THE EQUAL SIGN HAVE 3 LINES (MOD 6)

Answer 3

\[1+2+3\equiv (6)\]

Answer 4

\[1+2+5\equiv ? \mod 6\]

Answer 5

yes, just like geneshie8

Answer 6

short answer is :
add the numbers on left hand side,
and subtract 6's until you get a number less than 6

Answer 7

2?

Answer 8

Yep !
and 2 is a remainder when you divide the left hand side stuff by 6

Answer 9

so modulo is just like subtraction the number?

Answer 10

yes, but nobody thinks of it like that when they work it :)

Answer 11

here is the actual definition of modulo :

\(\large a \equiv b \mod n\)

means

\(\large (a-b)\) is divisible by \(\large n\)

Answer 12

but for the problems you have been doing, you may think of it as sequence of subtractions... which is indeed a division, and the number you endup with is a `remainder`

Answer 13

awesome

Answer 14

\[a \ge-12\]

Answer 15

\[\large 4 - x \equiv 5 \mod 8\]

you can subtract 5 both sides, the remainder wont change :

\[\large 4-5 - x \equiv 0 \mod 8\]

\[\large -1 - x \equiv 0 \mod 8\]

Answer 16

Next, notice that left hand side is divisible by 8 when x = 7

Answer 17

where is x=7?

Answer 18

Yep ! it can be 7

Answer 19

ohhh so 7 would be the answer

Answer 20

yes, 7 is a good answer in mod 8

Answer 21

Thank you very much

Answer 22

np :)

Answer 23

do you mind if I send you a message if I have a question in the future?

Answer 24

sure you can :) you may ask a question directly in openstudy also... so many ppl are good with number theory here !

Answer 25

I definitely will. thank you again.