Discrete Math 4.1.2 Modular Arithmetic

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Oh my god, using a number line is GENIUS! That cleared away ALL the confusion the moment you started going into it. I'll show all my friends this

workingjoe
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Kimberly, I don't know if you are aware of how many lives you've saved hahaha.
Just want to appreciate very much your work and hopefully life rewards you back with all the good you have done to too many students!!

agustintamagnone
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2:15 "is a and b equivalent in the world of mod m" I received enlightenment ! all my confusion about this bracket thing around the mod disappeared !!

whiteheadiceprince
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For the proof starting at 13:15, I was going to recommend if a congruent to b mod m, then m divides a - b and there exists an integer x such that a - b = mx. Little did I know, you used a much faster formula related to mod, but this proof was in my last test. Thank you for the upload and all of the other great content in this playlist.

Primitive_Code
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pleas I don't get the reason why for -5/3, the reminder is going to be 1

akpal
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i am from egypt and you are the best. keep it going please..

mdalaanmans
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Thank you. Great explanation. I get it now.

TheRoddie
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Thank you so much. I will share this video with my classmates.

mervynns
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The divides relation is a true or false statement. I think it would have been better if you explained in your slide at ~8 min just using the division algorithm instead of the divides relation

SayheeKim
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How is 4 | -4 true? It would mean 4c = -4 and according to divisibility c has to be a positive integer and c = -1

zedisnotded
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hi kimberly i got a question, im very confused on how at 15:39 the division algorithm is b = a + km . so a is the remainder here?? i tried getting there using division by saying okay we have m | (a-b) so a-b = km where k in Z and therefore a = km + b. im still stuck on how you got that division algorithm

pedramhaqiqi
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Professor, A quick question. In the proof of a+c and ac. How does a = b(mod m) become b =a + km. Shouldn't it by definition be a = b + km.

nishanthchaganty
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My professor did a practice problem in class for a mod m=b mod m. Using your method it gave me false but my professor got true. The problem was 172 (congruence symbol) 177 (mod 5). Can you please explain again what makes this problem true? What I understood from the video is you determine congruency based on if the remainders are the same.

Athletichick
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Aren't we gonna talk about that she did the class even she got Flu hahaha.
Thanks <3

M_VERICK