What does a ≡ b (mod n) mean? Basic Modular Arithmetic, Congruence

Basic congruence introduction in modular arithmetic. We will go over 3 ways to interpret a ≡ b (mod n), and you will see this in a number theory or a discrete math class. Learn how to solve congruence, subscribe to @blackpenredpen

[v-neko]

Some teachers in universities: 2h lecture
blacklenredpen: 6minutes

[bakirhaljevac]

It took you around 3 minutes to say what I needed to know, the same thing that my professor unsuccessfully tried to explain in one hour. Thank you so much <3

[johnlara]

I am a senior math and CS major, I have used modulo almost as much as I’ve used pi and I have always been confused by congruency. No one has been able to explain congruency more clearly and digestible than you. Thank you!

[rainyday]

30min trying to understand this congruence with my book .
And this man make me understand it just in 1:46 seconds
I wanna cry .
Why professor make life complicated whyyy ...
THANK YOU SO MUCH.
I really respect you 🙏🙏

[oksbfij]

I watch 7 videos of about 20 minutes about modular arithmetic and didn’t understand anything but your 6 minutes video made me understand. I don’t know what to say

[sergioh]

PLEASE MORE MODULAR ARITHMETIC! You're the best

[Mindmodic]

Finally I've been looking for a decent explanation for this for about an hour! Years ago when I was in school we never learned this and 'remainder' was only referred to when you were doing sums by hand, the remainder would be the next 10, 100 or 1000 etc. from your addition, I didn't see it as any other sense!

[meccamiles]

Your ability to change the marker you’re writing with so fast is amazing...

[yon]

I spent an hour trying to understand it from my book... 6 minute video is what i needed.

[nithin]

just had a great and clear understanding this was the lecture i needed thanks a lot mate!!!

[Jack-cmch]

Omg saving my grade once again. God bless you. Wish you had a patreon...

[ZectonplaysMC]

Dude i normally watch ur vids for fun but now i actually need help and i come back to ur channel😂

[Ebvardh]

Lovely explanation. Helped me finally visualize this concept before you even did the examples.

[juandelacruz]

Thanks blackpenredpen for teaching us this!

[billofrights]

When I took abstract algebra, I found
a ≡ b (mod n) quite confusing. The meaning seems to be
a (mod n) = b (mod n), but equivalence must mean more than this.

[erickarbieto]

Eres un crack! Y todo lo digo en español, porque hasta en Latinoamerica disfrutamos de tus videos; en serio, aprendo muchísimo! Thank you!

[WendyLee]

Having test next week, found this video this week. Thank you 😊 Always wanted to know the interpretation of the congruent notation.

[woojason]

thanks for your vdo you saved me from an algorithm course
it looked me quite a long time to understand what is meant by a=b (mod n)

[mahadhersi]

Thank you professor BlackpenRedpen I appreciate you this amazing lesson.

[krimzonghost]

C# exercises led me here... and I ain't even mad. Awesome video!