Learn Math with Caveman Chang

Hello! I really enjoy these logic type topics so I quite enjoyed making this video! When I first encountered the truth table, it wasn't in a mathematics class. Many people I knew first learned about the truth table in a computer programming class or a logic type class. The key to understanding the truth table and the logic behind it is being organized. Be organized and you'll be able to follow along. For the first portion of the video, I walk you through the truth table and creating the truth table. Shorthand Symbols You Will Encounter: V = or upside down V (looks like an A without the line): and T = true F = false ¬ (looks like a top right corner) = not Sections in this video: 0:00 Introduction to Logic and True/False 1:40 Walking through the Truth Tables 5:19 Example #1 8:13 Example #2 11:16 Example #3 13:32 Outro and Support my channel Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsP...

Hello there! For today's video, I talk about a different approach to computing multiplication problems. The standard method that we learned in school for multiplication was to physically multiply all the numbers out and line up the digits, this is called long multiplication. This was the traditional method on multiplying numbers. Today, I go over a math magic trick, a different way to see multiplication. You will need to know how to square numbers really quickly, so if you haven't seen that video already, check it out here: https://rumble.com/vxjjo4-quick-math-computation-squaring-any-number.html First thing you need to check is whether or not the two numbers you are multiplying together are either both odd or both even. This rule only applies if the two numbers are both odd or both even. The difference between the two numbers will always be even in these cases. We can rewrite the numbers into (a+b) • (a-b) which is a^2 - b^2. The b is half of the difference between the two numbers. By breaking it down, you can quickly compute the multiplication problem. Initially, this method may seem a bit daunting but with practice, this will be a great trick to use when trying to impress your classmates or your family. 0:00 Introduction to Multiplication 4:32 Math Explained Behind this Magic Trick w/ Example #1 9:06 Example #2 12:27 Example #3 13:47 Outro and Support my channel Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsP...

Hi there! I recently did a video that was an introduction to probability. You can check it out here: https://rumble.com/vxfvms-intro-to-probability.html For today's video, I will go into a little more detail. Continuing on the topic of probability, there are slight nuances that we need to pay attention to. Most probability type problems are in the form of a word problem. Pay attention to the scenario mentioned in the problem because the probability changes depending on the situation. The different components are independent, dependent, and, or. For this video, we will be referring to "or" as an "exclusive or". Independent: the current situation is not affected by the previous situation Dependent: the current situation is affect by the previous situation And: both Or: either or but not both Not all problems will straight out tell you whether it is "independent" or "dependent", "and" or "or". I cover 3 examples of different scenarios where a combination of the above are used. Let's take a look! 0:00 What is Independent, Dependent, And, Or? 3:56 Problem #1 6:59 Problem #2 10:07 Problem #3 13:12 Outro and Support my channel Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsP...

Hello there, for today's video, I will be talking about foci or focus points. In a previous video, I covered ellipses, the equation of ellipses and how to graph ellipses. In this video, I focus on the foci specifically. The foci are 2 reference points that are on the major axis (longer side of the ellipses) and are equidistant from the center. The center point is (h,k). The distance between the center and the foci is calculated by a^2 - b^2 or b^2 - a^2. Just remember that the foci has to be a positive number so if you switch up the a^2 - b^2 and b^2 - a^2, it's ok. Take the positive one since the numbers should be the same. There are 2 reference points so you will often times see the foci as (h+/- c, k) Link to previous videos: Ellipses: https://rumble.com/vwwbj0-equations-of-ellipses-standard-form-and-graphing-ellipses.html Circles: https://rumble.com/vw6ury-equations-of-circles-standard-form-and-graphing-circles.html Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsP...

Hello there! Have you ever seen crazy symbols while reading math proofs? First of all, I guess not a lot of people just read math proofs for fun. Anyways, today's video is all about the most commonly used proof symbols in mathematics. Writing proofs and reading proofs can be a bit difficult because it's very "up to the author's discretion" on what steps they want to include. Some people like to spell out each and every step while others like to write proofs that skip some more intuitive steps. In this video, I will talk about the different symbols and what they mean. I then go over a "translation" of a sentence written with the proof symbols. Remember the other video I did previously on the squareroot of 2 being irrational via Proof by Contradiction. I go over that same proof but this time I write it with the math proof symbols. Some people like more english words while some people like more symbols. There's a bit of freedom when writing proofs but it can make it hard to understand and follow when there are only symbols. If you haven't seen my previous video, you can check it out here! https://rumble.com/vvq8hm-proof-by-contradiction-sqrt2-is-irrational.html Another set of symbols that you will see are certain letters that look bolded with double lines. These guys are apparently called blackboard bold, I guess that's the name of the font. These letters represent different number sets. I made a video a while back on these number sets so watch it here for a refresher! https://rumble.com/vlnz4q-number-sets-counting-natural-negative-integers-rational-irrational-and-real.html Sections in this video: 0:00 Introduction to Proof Symbols Used in Math 2:08 Meaning of the Proof Symbols 7:21 Translation of a Sentence that uses Proof Symbols 12:53 Squareroot of 2 is irrational (Proof by Contradiction) 19:28 Outro - Recap and Support the channel Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsP...

Hello everyone, I hope you enjoy my "math magic trick" videos that help you look and feel smarter because you can compute certain math problems much quicker than others. Last time, I did a video on squaring numbers that end with a 5 and a different video on squaring numbers between 40 to 60. Those were pretty fun videos so if you haven't seen them, you can watch them here: Squaring #s ending in 5: https://rumble.com/vvmybg-super-quick-math-computation-squaring-5.html Squaring #s between 40 to 60: https://rumble.com/vwcf5a-super-quick-math-computation-squaring-numbers-from-40-to-60.html Today, I'm back with another fun math trick type video. If you're looking to impress your teacher, classmates, or friends; try doing this trick on them. Today's video will cover several examples that you can compute super quickly to impress others. The focus is squaring ANY number. We generalize the rule this time so it works for all numbers, but remember that the more generalized the rule, the longer it will take to do the trick. Compared to multiplying out the numbers fully, this will still be quicker. Just a fun math trick that is explained by the foiling method. Steps for this trick / shortcut: Depending on what the number ends with, choose between the two formulas or "tricks". If the ending number is less than 5, use the (a+b)^2 method. If the ending number is greater than 5, use the (a-b)^2 method. If the ending number is 5, I go over that trick in the previous video. (a+b)^2 = a^2 + 2ab + b^2 (a-b)^2 = a^2 - 2ab + b^2 This will work easily for numbers less than 100 but the same idea can be applied to numbers greater than 100. Chapters: 0:00 Intro - Squaring Any Number 1:19 Rules on Squaring Any Number 2:50 Different Scenarios When Squaring Any Number 4:42 Outro - Recap and Support the channel Just a fun little short video on another math shortcut. I hope you enjoyed it! Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsP...

Hello there! For today's video, I will be talking about a more introductory level topic: Probability! Probabilities are actually a pretty basic topic and easy to understand. The idea behind probabilities is the desired outcome over the possible outcomes. The best way to understand probability is by flipping a fair coin. The probability of getting a tails is 1 out of 2. The probability of getting a heads is also 1 out of 2. Probabilities can be written in the form of fractions, decimals, or percentages. If you haven't seen my video about percentages, check it out here! https://rumble.com/vsu86w-how-percentages-distort-the-truth.html You'll see how percentages can make things either exaggerated or unexaggerated. (is that a word?) Anyways, my favorite form is fractions because I can clearly see the possible outcomes. What is your favorite way to write probabilities? In this video, I briefly go over the concept of probabilities and then we go over a few practice problems. Chapters in this video: 0:00 Introduction to Probability 3:01 Practice Problem #1 6:10 Practice Problem #2 7:51 Practice Problem #3 11:10 Outro and Support my channel Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsP...

Hello there! For today's video, I'm not teaching anything new. Think of it as practice for an upcoming test or exam. I will cover 6 different questions regarding functions. If you haven't learned functions yet or need a refresher, you can check out my previous videos. Search "functions" within my videos and you should be able to find 5 videos on the topic. Here are the links to the videos for easier access: https://rumble.com/vq1ft8-what-is-domain-of-a-function.html https://rumble.com/vq2ohk-function-of-a-function.html https://rumble.com/vr6qtq-functions-and-inverse-functions.html https://rumble.com/vr4kw6-functions-inputs-and-outputs.html https://rumble.com/vlv8vf-finding-domain-of-functions-how-to-examples-caveman-chang.html These are standard math test questions so don't be surprised if these show up on your actual exam. Let's jump right in! 0:00 Intro - Standard Test Questions re: Functions 0:38 Practice Problem #1 2:48 Practice Problem #2 5:32 Practice Problem #3 7:02 Practice Problem #4 10:36 Practice Problem $5 14:34 Practice Problem #6 17:01 Outro - Recap and Support the channel Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsP...

Hello! For today's video, I will cover the topic of ellipses. In textbooks and classes, you usually hear about how similar ellipses are to circles but the difference is a the foci or focal points. In this video, I go over the standard form of the equation and the key components of the equation. After explaining ellipses and the formula, I go over 3 different practice problems to test your understanding of ellipses. The 3rd practice problem is the ultimate tester because you really need to understand ellipses well because that problem makes you work backwards. An ugly equation is provided and it's supposed to be the entire factored out form for an ellipses. I don't actually sketch the ellipses but you are given all the required information to sketch one if you need. Here's the link to my previous video about circles btw if you haven't seen it, you'll be happy to see some similarities between the two. https://rumble.com/vw6ury-equations-of-circles-standard-form-and-graphing-circles.html Things you'll hear in this video: x-radius, y-radius Chapters of this video: 0:00 Introduction to Ellipses 10:57 Practice Problem #1 12:57 Practice Problem #2 15:00 Practice Problem #3 (MUST WATCH!) Don't forget to watch until the end. The last problem is just... torture but it could be worse... Anyways, let's jump into the video! Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsP...

Hello there! You may have seen my previous video where I proved to you that the squareroot of 2 is irrational. That is one of the most classic and famous examples of proof by contradiction. If you haven't seen that video, you can watch it here: https://rumble.com/vvq8hm-proof-by-contradiction-sqrt2-is-irrational.html The title of this video is Reducio Ad Absurdum. Doesn't it sound like some Harry Potter thing. Reducio Ad Absurdum is latin to mean reducing to the absurd. What does that mean? You'll see other names that it may go by which are Proof by Contradiction or Good Faith Proof. In this video, I talk about what proof by contradiction is and the steps on using this method of proof. The next section, I provide a few different examples of how to use this method of proof. Sections of this video: 0:00 Introduction to Reducio Ad Absurdum or Proof by Contradiction 5:18 Practice Problem #1 9:46 Practice Problem #2 13:48 Practice Problem #3 Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsP...

Hello everyone, I hope you enjoy my "math magic trick" videos that help you look and feel smarter because you can compute certain math problems much quicker than others. Last time, I did a video on squaring numbers that end with a 5. That was a pretty fun video in my opinion! If you haven't seen that video, you can watch it here: https://rumble.com/vvmybg-super-quick-math-computation-squaring-5.html Today, I'm back with another fun math trick type video. If you're looking to impress your teacher, classmates, or friends; try doing this trick on them. Today's video will cover several examples that you can compute super quickly to impress others. The focus is squaring numbers between 40 to 60. It's easy to remember the values of 40^2, 50^2, and 60^2 so that won't be as impressive. We will split the trick into remember different steps for numbers less than 50 or greater than 50. All it takes is more practice then you can do it! This math trick only works for numbers from 40 to 60. Steps for this trick / shortcut: If the number is less than 50, 1.) 50 - something = the number you want 2.) 25 - something = another number 3.) something ^ 2 4.) Put the something ^2 at the end of another number Did I just confuse you? Let me show you in variables The number you want to square will be represented by x 1.) 50 - y = x 2.) 25 - y = z 3.) y^2 4.) Put it together and you get z(y^2). Note that this isn't multiplication. For numbers that are greater than 50, it is the same but you add instead of subtract. Add the number to 50 and add the number to 25 in steps 1 and 2. Just a fun little short video on another math shortcut. I hope you enjoyed it! Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsP...

Hello! Today, I'm doing ANOTHER video on counting but this one is a little different. Today's topic is complementary counting. I will teach you how to solve combinations problems in a different way. We are going to count what we want by first counting what we don't want. You might hear complementary counting being referred to as negative counting. Previous videos on counting: Fundamental Counting Principle: https://rumble.com/vtanny-fundamental-counting-principle.html Factorials: https://rumble.com/vtucz8-introduction-to-factorials.html Permutations: https://rumble.com/vuklty-introduction-to-permutations-mathematics.html Combinations: https://rumble.com/vvjh8e-combinations-formula-and-examples.html Section in this video: 0:00 Introduction to Complementary Counting 1:54 Practice Problem #1 (Conventional Way) 4:18 Practice Problem #1 (Complementary Counting) 6:52 Practice Problem #2 7:37 Special Ft. Voice of Rocky Chang 9:15 Practice Problem #3 Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsP...

Hello there! Today's video is about circles. Remember in a previous video how I derived the distance formula from the pythagorean theorem? If you didn't watch the video, here it is: https://rumble.com/vugjvs-deriving-and-using-the-distance-formula.html For the first portion of this video, I walk you through how the circle formula is related to the distance formula. It's always helpful to understand where the formula is from so we can remember it accurately. In the remainder of the video, I go over different types of practice problems that help you understand circles better. It's nice to know "Completing the Square" by the way so brush up on your skills wit this video: https://rumble.com/vqd122-completing-the-square-vertex-form.html Sections of this video: 0:00 Introduction to Circles 1:05 Deriving the Circle Formula 6:00 Practice Problem #1 8:09 Practice Problem #2 11:00 Practice Problem #3 Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsP...

Hello there, today I will be going over a proof problem. Of everything that I’ve talked about so far, proof is single handedly the one that most people dislike. In this video, I will prove that the square root of 2 is irrational using proof by contradiction. Proof by contradiction starts with us assuming that the statement is true and then finding a contradiction that makes the statement untrue. This problem is a classic example of proof by contradiction. Problem of this video: √2 =/= rational Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsP...

Hello everyone, I hope you enjoyed watching my previous video on a "math magic trick". If you haven't seen it, here it is! https://rumble.com/vv1c9g-math-magic-trick-number-9.html Today, I'm back with another fun math trick type video. If you're looking to impress your teacher, classmates, or friends; try doing this trick on them. Today's video will cover several examples that you can compute super quickly to impress others. The focus is squaring 5. In this video, I use 5^2, 15^2, 75^2, 85^2, and 125^2. This math trick works on any number that ends with a 5. Steps for this trick / shortcut: 1.) Remove the "5" 2.) With the number left over, multiply that by (itself + 1) 3.) Put 5^2 at the end which is 25 Just a fun little short video on another math shortcut. Hope you enjoyed my video! Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsP...

Hi there! I have another video about combinations today. As I mentioned before in my factorials video, you primarily see factorials being used in permutations and combinations. There is a distinct difference between permutations and combinations which I talk about, so don't get them mixed up. You might have seen my previous video about combinations, which is different from today's. In the other video, I very briefly go over combinations but today I go more into details about the formula and we go through a couple examples. Videos mentioned in this video: Factorials: https://rumble.com/vtucz8-introduction-to-factorials.html Permutations: https://rumble.com/vuklty-introduction-to-permutations-mathematics.html Basic Combinations: https://rumble.com/vtfy4w-introduction-to-combinations-mathematics.html Sections in this video: 0:00 Combinations vs Permutations 3:01 Formula and Practice Problem #1 9:38 Practice Problem #2 Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsP...

Hello everyone! For today's video, I will talk about graphing polynomials BUT with a trick. Sometimes, its just very tedious to graph polynomials but in some cases, the general trend of the graph is pretty similar. There are a few things to look out for when given a polynomial. 1.) Even or Odd: tells us the end behavior of the graphs 2.) Positive or Negative Leading Coefficient: tells us the direction of the end behavior 3.) Zeroes: tells us the x-intercepts of the graph From there, you can pick and choose points to plug into the polynomial and see if the general number is negative or positive. The best scenario is that the polynomial is given to you with the zeroes so you can find the positive and negative sign of the solution, giving you a general idea of what the graph looks like. Today's focus is to help you Guess the Graph! You don't need to know the exact look of the graph, but with these 3 items, you can pretty much guess the overall look of the graph. There is a "standard" trend for what the graphs look like for each degree of polynomial but there are certain exceptions that don't follow that. I cover a problem for each degree polynomial from x^3 to x^5. Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsP...

Hello all! For today, I have a fun little video that you can learn to impress you friends, family, or significant other. All the math lovers will probably know this magic trick but I'm sure they'll appreciate that you showed them a math trick. Steps for this magic trick: 1.) Think of a number between 1-9 (inclusive) and don't tell me the number 2.) Multiply it by 9 3.) If it is a 2 digit number, add the digits together. If it is a 1 digit number, skip this step. 4.) Subtract 5 from your number 5.) Multiply the result by itself The answer is 16. Was I right? I should be unless you messed up a step somewhere along the way. In this video, I also reveal why this math trick works and how it works. Aside from 1-9, this also works for number 10. Remember, this math magic trick does not work for all numbers. If you like these types of videos on math tricks, let me know in the comments below. Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsPt0xImHyuRGU7BntSqDQ

Hello there! For today's video, I talk about another topic that uses factorials: Permutations. If you haven't seen my other video on factorials, you can check it out here https://rumble.com/vtucz8-introduction-to-factorials.html In a separate video, I talked about Permutations' counterpart: Combinations. If you haven't seen that video, you can watch it here https://rumble.com/vtfy4w-introduction-to-combinations-mathematics.html Permutations differ from combinations in that the order does matter. For example, if you flip a coin twice and you get the results of heads then tails, this is different from getting tails then heads. Whereas in combinations, heads and tails vs tails and heads are the same thing because the order does not matter. I go over the formula for permutations and also a few practice problems so let's jump into the video! Formula for Permutations: P(n,r) = nPr = n! / (n-r)! Sections in this video: 0:00 Introduction to Permutations 1:21 Practice Problem #1 3:07 Using the Formula for Permutations 6:15 Practice Problem #2 11:29 Practice Problem #3 Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsPt0xImHyuRGU7BntSqDQ

Hello! For today's video, I will talk about the distance formula. In math, there are just an endless amount of formulas that we should memorize but sometimes the best way to memorize the formula is to understand where it comes from. One of the most important formulas that you should remember is the Pythagorean Theorem. Pythagorean Theorem: a^2 + b^2 = c^2 Well, would you believe me if I said the distance formula is actually derived from the Pythagorean Theorem. Distance Formula: d = sqrt [(x2-x1)^2 + (y2-y1)^2] The formula looks quite different for now but in the first half of the video, I show you how the distance formula is derived from the pythagorean theorem. In a right triangle, we have each side represented by a, b, and c. The distance between two points can always be represented by a right triangle where the hypotenuse c would be the distance we are looking for. a would be represented as the horizontal difference between the two points (x2-x1) and b would be represented as the vertical difference between the two points (y2-y1). Anyways, let's take a look at the video! Sections in the video: 0:00 Introduction to the Distance Formula 2:03 Deriving the Distance Formula from the Pythagorean Theorem 8:30 Practice Problem #1 10:45 Practice Problem #2 12:37 Practice Problem #3 Thanks for watching! Please drop a like and subscribe to my channel.Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsPt0xImHyuRGU7BntSqDQ

Hello there! Today, I talk about the second method of doing division with polynomials, Synthetic Division. If you haven't seen my first video about Long Division with Polynomials, check it out here I personally like using long division more because I can see every step that I'm doing and its easier to understand. However, I know a lot of people may prefer synthetic division because it is much faster. Which one do you like more? Let me know in the comments below! I cover a few different practice problems today so follow along and solidify your understanding of synthetic division. Sections of the video: 0:00 Introduction to Synthetic Division 0:25 What is Synthetic Division? 0:48 Practice Problem #1 4:08 Practice Problem #2 6:56 Practice Problem #3 8:41 Using Long Division & Synthetic Division (Side-by-Side Comparison) Thanks for watching! Please drop a like and subscribe to my channel.Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsPt0xImHyuRGU7BntSqDQ

Hi do I have your attention? That's good because you might be wondering how on earth people can simplify fractions in 5 seconds or less. This is a pretty short video so jump right in! The method used is you cross out the common digit in the numerator and denominator, then the leftover digits you have are the simplified answer. In this video, the few examples I list are 16/64, 19/95, 26/65, 48/98, 332/830, 163/326. If you are interested in these types of fractions, you can look them up. They're called screamer or howler fractions. Students love them because it makes your life easier and you can test your teachers on them. Fellow teachers, aren't these just a fun group of fractions? Anyways, don't forget the most important thing, this does not apply to all fractions. These only work for a special group of fractions. Thanks for watching! Please drop a like and subscribe to my channel.Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsPt0xImHyuRGU7BntSqDQ

Hello! For today's video, I will be talking about long division. I know most of you probably don't like long division. Long division was bad enough with big numbers right? Well, today I do long division with polynomials. It actually isn't AS BAD as it looks. There's definitely going to be some easier long division polynomial problems and some harder ones. I go through a few different practice problems that simplify down nicely and some not so much. Don't forget since we are working with fractions, there are some values that cannot be the solution because we don't want our denominator to be zero. I have a video here where I talk about domain and ranges so if you haven't seen it already, check it out here: https://rumble.com/vq1ft8-what-is-domain-of-a-function.html Problems in this video: 0:00 Introduction to Long Division with Polynomials 0:10 Long Division Using Simplification 7:01 Practice Problem (Pretty) 10:46 Another Practice Problem (Not so pretty) Thanks for watching! Please drop a like and subscribe to my channel.Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsPt0xImHyuRGU7BntSqDQ

Hello everyone! Don't you all love exclamation marks? It makes things that we type seem more important or makes it LOUD. We usually see exclamation marks in a written context, but today I will talk about the exclamation marks you see in math. Today's topic is FACTORIALS! The factorial is presented with an exclamation mark that you may see after a number or a variable. In the beginning of the video, you see things like 25!/24! or 15·14!/15! or 50!/100! There is a formula for factorials but its pretty simple. 5! is 5·4·3·2·1 Formula for Factorials: n! = n·(n-1)·(n-2)·(n-3)·...·1 Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsP...

Hello there! Today I will be talking about combinations. Combinations in the context of math permutations and combinations. For today, I will cover combinations first and then we can talk about permutations in a different video. In mathematics, the definition of combination is a selection of items from a set that has distinct members, such that the order of selection does not matter. Yes I know, the definition looks like a mashup of words and doesn't really make much sense because you can't visualize it. I talk about what combinations is using coins at the beginning of the video and then cover a few practice problems that help you solidify your understanding of combinations. Let's jump right in. Chapters in this video: 0:00 Introduction to Combinations 0:56 Combinations Explained with Coin Example 6:58 Practice Problem #1 9:56 Practice Problem #2 12:19 Practice Problem #3 Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsP... Bread image: https://www.freepik.com/vectors/background Background vector created by brgfx Cheese image: https://www.freepik.com/vectors/food Food vector created by vectorpocket Meat image: https://www.freepik.com/vectors/food Food vector created by brgfx