Modular Arithmetic and Modulo Congruence

[@manuelavendano2199]

Very well organized video, it shows how much time and effort you took to make it, keep up the good work man!

[@davidwoznerable6750]

That was an amazing explanation. Good job!

[@maq88]

wow! great job. thanks for these video. i really helps me in my report...

[@ilanbar1970]

Thank you! Well explained

[@diegoamaya5756]

Thank you so much

[@IODell]

Great video. Thank you.

[@mariabernardez6345]

aaaaaah, this vid is amazing!!! thank youuu

[@mathkul3t]

Yowwnnn🙂 nice one sir🙂

[@joypaul340]

Excellent

[@monroeclewis1973]

Clearer than a mountain spring.

[@2kool893]

What software is used to generate mod wheel

[@xanmos]

I am using FinalCut Pro X in all my videos. Though the “modular arithmetic wheel/clock” is a series of gif images i built in Powerpoint :)

[@reesesashamorito7303]

For 3-20 in mod 5, it should've been 2 or -2 as the remainder and not 3.

[@xanmos]

3 minus 20 is -17… and add 5 multiple times, and you’ll get 3. Not 2. That is why 3 - 20 at modulo 5 is 3.

[@bridgetesi8935]

@@xanmos i dont get that part because i also got the answer as two

[@catherinegutierrez2024]

you may also apply the concept in determining a modular equation if it's a True congruence or not such that (a-b)/n should result in an integer by trial & error (a - (-17))/5 we can substitute a={0,1,.., n-1} = {0,1,2,3,4} when a= 3: (3 + 17)/ 5 = 4 ( wherein 4 is an integer) therefore a= 3 3=-17mod 5

[@AzharKhan-fb6qv]

Hi my questions is that: 10 is congruent to 2mod(4) because 10-2 =8 which is divisible by 4. But 10 and 2 do not have the same remainders. Is’nt this a contradiction. Plz help, i’m stuck

[@xanmos]

10 and 2 have the same remainder, which is 2, when divided by 4. 10 divided by 4 is 2 remainder 2, while 2 divided by 4 is 0 remainder 2.

[@jezabelespila8419]

di ko po maintindihan yung sa 3-20. bakit po naging 3 yung remainder?

[@xanmos]

3 - 20 is -17 So at modulo 5, you just have to keep on adding 5… until you get a number from 0 to 4 And that is 3.

[@gwynethfaner5741]

@@xanmos pero magiging 15 po yon pag kineep up ang pag aadd then pag mininus is magiging -2 or 2 kase yon ung remainder?pa reply po thanks po medyo nalito lng po

[@reesesashamorito7303]

@@gwynethfaner5741 same here. also confused with the 3-20 and his answer being -3

[@marilynvlogsss5378]

Please help me paano po naging 10 Ang 208÷10=20.8 Hindi po ba bakit 208 naging 10

[@xanmos]

Remember that modulo arithmetic is the Remainder, so 208 mod 10 is 8 because 208 when divided by 10 gives us a remainder 8.

[@little_paul93]

11:02 true or false lahat po is False pa check po.Thank you!

[@dr024]

-17 is congruent to 10 mod 3 because -17 and 10 have the same remainder (1) when divided by 3 85 is congruent to -5 mod 9 because 85 and -5 have the same remainder (4) when divided by 9. 80 is not congruent to 12 mod 8, because 80 has a remainder of 0, while 12 has a remainder of 4 when divided by 8.

[@little_paul93]

Ay tama pala , nakalimutan ko i subtract pa yung result sa modulo pag negative