#algebra tricks

[9nid]

Mastering Special Series in Geometric Progression (7+77+777+... & 0.3+0.33+...) - Complete Guide

Geometric Progressions (GP) become fascinating when we encounter special series like: 7 + 77 + 777 + 7777 + … to n terms 0.3 + 0.33 + 0.333 + 0.3333 + … to n terms (and infinite terms) In this comprehensive guide (based on 9nid’s YouTube Video – Geometric Progression Part 3), we’ll break down:✓ The step-by-step method to solve these series✓ How to find sums for finite AND infinite terms✓…

[edusquaremaths]

Mastering Special Series in Geometric Progression (7+77+777+... & 0.3+0.33+...) - Complete Guide

Geometric Progressions (GP) become fascinating when we encounter special series like: 7 + 77 + 777 + 7777 + … to n terms 0.3 + 0.33 + 0.333 + 0.3333 + … to n terms (and infinite terms) In this comprehensive guide (based on 9nid’s YouTube Video – Geometric Progression Part 3), we’ll break down:✓ The step-by-step method to solve these series✓ How to find sums for finite AND infinite terms✓…

[mathscliniccounseling]

*Simple way to learn Engineering Mathematics - Linear Algebra Determinants. Please press 🔔 to *SUBSCRIBE the channel, LIKE ✅ & SHARE ⏩ to the students who are interested in online learning of maths. Once SUBSCRIBE, he or she will get the automatic notification of new VIDEO upload 📚 https://youtube.com/playlist?list=PLXty9dIfmxj_kWvR8s3vHUkOLp-_nW4eP&si=obCJDOLLr1VWu8DR

[superrealmathtricks]

Is there a way to use group cohomology to classify all extensions and not just central ones?

Hey marigold-22!

Absolutely there is! Here's a super real math trick just for you!

Instead of looking at the group actions of a group G in an associated G-module M, look at the group actions of all of the groups! That along with a twisted coefficients allow you to take into account ALL extensions.

[damianodavid-wife]

I think I am not able to do anything anymore for the next 9 months…

[absolute-lithops-emotion]

reading a bunch of articles on phonics and whole word reading and listening to old vi hart videos in the background and realizing that if there's an equivalent to phonics for math, i don't think we get taught it

[iantimony]

taught my boy l'hopital's rule now he's unstoppable

[nablah]

lovelies. i'm even more mentally ill. teaching in this gdforsaken educational system deadens the soul and fucks over the generations. i am reaching a career level depth of despair. the school system troubles itself and its members with things so stupid and makes these things necessary and necessarily stupid that no one can find the time to be conscious of their friend, brother, neighbour. everyone is a mouse to everyone else. bahala na talaga si tanginang deped at si batman i can teach the most hopeless case in the history of physics two of my students in my other class have dyslexia dyspraxia and intellectual disabilities and theyre doing fucking wonderful because they care! care about any shallow thing! i cannot teach students who go through the world unnoticing and unnoticed.

[algebra-as-praxis]

First post!! I wanted to show you how deep a rabbit hole you can dig with a very simple concept like, "What does 'four' mean?"

I have a number line.

So, I'd like you to imagine that you've sat down across from me on your first day in class, and I put some kind of math worksheet with this number line on it that gives you a very simple-sounding task: "Circle four."

If you are like nearly every one of the older students I've had, you'll circle the number 4 on the line. And I'd say something like, "That is a perfectly reasonable response to this request. There is nothing wrong with what you've done. But aren't you suspicious about how simple this question sounds? Did you see that there was a twist coming?"

On a number line, the place where we've written 4 is not actually the value 4. It is more like the position 4; we would call this the ordinal number (a number used to track the positional order of things; another example of an ordinal number is the word "fourth," which tells you that there are three other things before that one).

So, if you just circled the number 4, you definitely circled the position, but the thing you circled isn't worth 4. If you were going to circle the thing that has the value (or cardinality, since we're counting individual objects) of 4, it would look something more like this:

This is because in order to have the value of 4, you need everything that came before it! Imagine counting out candy while your kid sister steals and eats the candies you counted already. When you get to your final number, that number is not how many candies you have, but rather how many you counted cuz your sister's got 'em all! For the value of your candies to stay the same, you need all of them to be there!

"Four" could also look, less straightforwardly, like this:

The distance from the start of the circle to the end is four; and since we're circling the line, the length of the line that is circled is four. If we imagine the circle starts (from the left) at the position of 2.3, it would have to end at the position (from the right) 6.3. If we find the difference of the numbers at these positions, we would be doing the equation 6.3 - 2.3 = 4.

A quick summary:

The position of a number is shown with an ordinal number.

The actual physical quantity of the individual items is shown with a cardinal number, which we more typically call the value.

We can find a value inside the ordinals by finding the distance between any two ordinals, via subtraction.

Okay... But notice we've used two words here that seem to imply the same thing: difference and distance. Let's clear this up real quick:

Difference is the result of subtraction. Generally, if we want to find the difference between two things, we subtract the first thing from the second thing:

second - first = difference

But that's not a rule, so much as a norm. In reality, if you wanted to find the difference of two numbers, the person asking had best be very clear which way they want you to do it, because if you reverse this you will get the negative of the result above!

For example, if you were asked to find the difference between 6 and 15, you would do 15 - 6 = 9. But if it's not clear and you instead did 6 - 15, you get -9.

If, however, someone wanted to know how far apart these two numbers are, they would not be asking the difference but rather the distance between these numbers. The result would therefore be the absolute value of either one of these subtractions:

|15 - 6| = |9| = 9, |6 - 15| = |-9| = 9 Same result!

This is in actuality the real use of absolute values. Absolute value is typically shown as "the distance from zero," which is kind of true? But it's really for finding distances of any kind -- in fact, it's later used to mean exactly that when you get into complex algebra (that is, algebra with imaginary numbers) and linear algebra (matrices and vectors).

But that's for later.

[squeakynoises]

"ur too old for trick or treating" im never too old to get 8 pounds of free candy u think i'm paying for that shit myself

[9nid]

📘 JEE Series Part-18 | Arithmetic Progression (AP) Part-02 – Deep Dive into Core Concepts

Welcome to Part-18 of the 9nid JEE Series, your ultimate Hinglish learning zone for mastering JEE Maths with clarity and confidence. In this session, we go deeper into Arithmetic Progression (AP) — one of the most scoring topics in Sequence and Series for JEE Main and Advanced. 🔍 What’s Covered in This Video? In this video, we move beyond the basics of AP and explore more conceptual and…

[edusquaremaths]

📘 JEE Series Part-18 | Arithmetic Progression (AP) Part-02 – Deep Dive into Core Concepts

Welcome to Part-18 of the 9nid JEE Series, your ultimate Hinglish learning zone for mastering JEE Maths with clarity and confidence. In this session, we go deeper into Arithmetic Progression (AP) — one of the most scoring topics in Sequence and Series for JEE Main and Advanced. 🔍 What’s Covered in This Video? In this video, we move beyond the basics of AP and explore more conceptual and…

[mathscliniccounseling]

Simple way to learn Engineering Mathematics - Linear Algebra_Cramers Rule to 22 system of linear equations. Please press 🔔 to *SUBSCRIBE the channel, LIKE ✅ & SHARE ⏩ to the students who are interested in online learning of maths. Once *SUBSCRIBE*, he or she will get the automatic notification of *new VIDEO upload* 📚

[superrealmathtricks]

Algebra hard for you? Don’t worry! Here’s a super real math trick!

All numbers are imaginary in algebra! So to get the right answer, you just have to imagine a number! Simple as that!

[nexus-nebulae]

actually making a concerted effort to learn written japanese (since I've learned a small amount of spoken already) and. oh boy did not realise how hard it is for my brain to learn new symbols

[math1089]

Calculate Your Age in Seconds - A Mathematical Trick

Algebra serves as a remarkable tool for determining the unknown age of an individual through a series of mathematical operations. This intriguing process unfolds like magic, enabling anyone to deduce their age without disclosing the information to others. By engaging in specific algebraic calculations, participants in this game can arrive at a final result. With this conclusive value in hand, I,…