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No one on Earth knows how to reverse one of the most popular computer algorithms. Yet it's really easy to compute one-way. You could make billions of dollars if you solved this mathematics problem, which is computed quintillions of times per second in the race for mining Bitcoin. SHA256 has some amazing properties, is useful for digital signatures, cryptography, authentication, and is a central part of the Bitcoin protocol.
(**** UPDATE 2021: After two years, I've finally posted a follow-up video, an introduction to Bitcoin. You can find it here: https://youtu.be/LzhJjSRad5A )
Bitcoin and other "crypto-currencies" rely on one-way hash functions like the SHA-256 algorithm to secure the blockchain where all the transactions are kept.
In this video, I explain some of the big-picture ideas behind this one function. Other cryptocurrencies use similar ideas.
Comments, suggestions, or errors? Let me know in the comments, and I'll fix them in an upcoming follow-up video.
Take a look at some of my other videos: https://www.youtube.com/playli....st?list=PL625C69DF58
---- Links ------
Wikipedia about SHA-256:
https://en.wikipedia.org/wiki/SHA-2
Current Bitcoin difficulty:
https://www.coinwarz.com/diffi....culty-charts/bitcoin
Big number calculator:
https://defuse.ca/big-number-calculator.htm
---- Credits ----
BitCoin & Money Photo:
Copy Link to Credit: (CC-BY 4.0) Cryprocurrency360.com
https://www.flickr.com/photos/....bitcoin-crypto/41063
Bitcoin mining farm:
(CC-BY 2.0) Marko Ahtisaari - https://www.flickr.com/photos/moia/
Fourier Transform Graph:
(CC-BY 4.0) Jake
http://pgfplots.net/tikz/examples/author/jake/
Wikipedia Hash Function Algorithm illustrations:
https://en.wikipedia.org/wiki/SHA-2
(CC-BY-SA)


Welcome to Order of Operations with Parentheses and Exponents with Mr. J! Need help with the order of operations (PEMDAS)? You're in the right place!
Whether you're just starting out, or need a quick refresher, this is the video for you if you're looking for help with the order of operations. Mr. J will go through two examples and explain how to work through order of operation problems involving parentheses and exponents.
✅ More Order of Operations Videos:
- Why Do We Use the Order of Operations in Math? = https://youtu.be/TPA2PMM97MQ
- Order of Operations: A Step-By-Step Guide = https://youtu.be/x41BCrYh8Kc
- Order of Operations with Parentheses and Exponents = https://youtu.be/dzwDTEej8MU
- Order of Operations (No Parentheses or Exponents) = https://youtu.be/BCg1nz5k0HY
- Order of Operations with a Fraction Bar = https://youtu.be/hfVKWJxGYE8
- Order of Operations with a Fraction Bar (Answer is a Fraction) = https://youtu.be/Q5Ch7_By9LI
- Order of Operations with Parentheses, Exponents, and a Fraction Bar = https://youtu.be/JGLQkPL1kxw
- Order of Operations with Integers | Positives and Negatives = https://youtu.be/AtPS0pWthEo
- Order of Operations with Parentheses, Brackets, and Braces = https://youtu.be/u7Lack4Tmx8
About Math with Mr. J: This channel offers instructional videos that are directly aligned with math standards. Teachers, parents/guardians, and students from around the world have used this channel to help with math content in many different ways. All material is absolutely free. #MathWithMrJ
Click Here to Subscribe to the Greatest Math Channel On Earth: https://goo.gl/XHTrfY
Follow Mr. J on Twitter: @MrJMath5
Email: math5.mrj@gmail.com
Music: https://www.bensound.com/royalty-free-music
Hopefully this video is what you're looking for when it comes to the order of operations.
Have a great rest of your day and thanks again for watching! ✌️✌️✌️
✅ Thanks to Aloud, this video has been dubbed into Spanish and Portuguese. #DubbedWithAloud
English
This video has been dubbed into Spanish (United States) and Portuguese (Brazil) using an artificial voice via https://aloud.area120.google.com to increase accessibility. You can change the audio track language in the Settings menu.
Spanish
Este video ha sido doblado al español con voz artificial con https://aloud.area120.google.com para aumentar la accesibilidad. Puede cambiar el idioma de la pista de audio en el menú Configuración.
Portuguese
Este vídeo foi dublado para o português usando uma voz artificial via https://aloud.area120.google.com para melhorar sua acessibilidade. Você pode alterar o idioma do áudio no menu Configurações.


Welcome to Order of Operations with Exponents with Mr. J! Need help with order of operations with exponents and parentheses? You're in the right place!
Whether you're just starting out, or need a quick refresher, this is the video for you if you need help with PEMDAS with exponents problems. Mr. J will go through PEMDAS examples and explain how solve order of operation problems step by step.
About Math with Mr. J: This channel offers instructional videos that are directly aligned with math standards. Teachers, parents/guardians, and students from around the world have used this channel to help with math content in many different ways. All material is absolutely free.
Click Here to Subscribe to the Greatest Math Channel On Earth: https://goo.gl/XHTrfY
Follow Mr. J on Twitter: @MrJMath5
Email: math5.mrj@gmail.com
Music: https://www.bensound.com/royalty-free-music
Hopefully this video is what you're looking for when it comes to solving order of operation problems with exponents.
Have a great rest of your day and thanks again for watching!
✅ Thanks to Aloud, this video has been dubbed into Spanish and Portuguese. #DubbedWithAloud
English
This video has been dubbed into Spanish (United States) and Portuguese (Brazil) using an artificial voice via https://aloud.area120.google.com to increase accessibility. You can change the audio track language in the Settings menu.
Spanish
Este video ha sido doblado al español con voz artificial con https://aloud.area120.google.com para aumentar la accesibilidad. Puede cambiar el idioma de la pista de audio en el menú Configuración.
Portuguese
Este vídeo foi dublado para o português usando uma voz artificial via https://aloud.area120.google.com para melhorar sua acessibilidade. Você pode alterar o idioma do áudio no menu Configurações.


This video tutorial provides a basic math review on topics such as addition, subtraction, multiplication, division, fractions, decimals, and percentages.
Basic Addition: https://www.youtube.com/watch?v=2WxfQIElJuw
Basic Subtraction: https://www.youtube.com/watch?v=3fYgZgbOJmM
Addition and Subtraction - Number Lines: https://www.youtube.com/watch?v=wNhbz1EUPrc
Long Multiplication: https://www.youtube.com/watch?v=GKetIwxaenA
Lattice Multiplication: https://www.youtube.com/watch?v=ZDmNdjiYAIw
Area Model Multiplication: https://www.youtube.com/watch?v=UV0ky5fESI0
Basic Division: https://www.youtube.com/watch?v=yAJxHO7CLh4
Long Division: https://www.youtube.com/watch?v=GiiuZ8sfw00
Short Division: https://www.youtube.com/watch?v=uKsSB8zIR9M
Mental Math Tricks: https://www.youtube.com/watch?v=nTn9gVqRfKY
Exponentiation and Tetration: https://www.youtube.com/watch?v=S3s9cWWnZj0


Do you get the principle behind the balancing of scales? Between how weights get balanced on a scale? Great! That’s pretty much all you need to know to solve equations. Don’t believe me? Go ahead and see for yourself.
We at Byju's Classes strongly believe that a spirit of learning and understanding can only be inculcated when the student is curious, and that curiosity can be brought about by creative and effective teaching. It is this approach that makes our lectures so successful and gives our students an edge over their counterparts.
For more info visit: https://byjus.com/maths/additi....on-and-subtraction-o
Our website- http://www.byjus.com/
Download our app on android- https://goo.gl/5Uz70E
Download our app on an Apple device- https://goo.gl/2mLi1I


If you use key words to teach word problems to students, you may be doing more harm than good.
Sarah Powell from UT shows the dangers of using key words when teaching math to students and offers suggestions for how to better help students understand key concepts. If you are teaching math at any grade level, this video is a must see.
This video is part of Project STAIR, a resource for teachers and parents who are interested in helping their students learn math.
If you have video suggestions or would like to let us know your thoughts, please complete our survey after you watch this video:
https://utexas.qualtrics.com/j....fe/form/SV_bdrM4xOXo


The TABE (Test of Adult Basic Education) 11 and 12 Level D test will determine your understanding of core skills needed for success in education and the workplace. The TABE Level D is the difficult level exam. In this video I will go over practice problem that you would expect to see on the TABE 11 and 12 Level D math section. If you need math help in preparing for the TABE 11 and 12 Level D Test check out my TABE Math course:
TABE 11 and 12 Level D Math Test Prep Course
https://tabletclass-academy.te....achable.com/p/tests-


http://www.engvid.com/ Math Vocabulary! If I add 7 and 3, I get 10, but in English, we have different words for each mathematical operation -- and you need to learn them! 7 plus 3 equals 10! Don't worrry if you aren't good at math! It's still an English lesson! Take a quiz on this lesson here: http://www.engvid.com/basic-math-vocabulary/


Many students who struggle with word problems need a strategy to organize their thoughts and approach the problem. Dr. Powell provides suggestions for what makes a quality word problem attack strategy. She also tackles a few word problems using her favorite word attack strategy, UPS Check.
This video is part of Project STAIR, an online resource for teachers and parents who are helping their students master the fundamentals of algebra readiness skills.
If you have a question that you would like Project STAIR to demonstrate, or you would like to share your thoughts, please provide your feedback and input in our brief survey here:
https://utexas.qualtrics.com/j....fe/form/SV_0vVr8tJ19
Otherwise, please subscribe for more videos.


Have you been on a see-saw before? The weight has to be the same on both sides for the see-saw to be balanced, otherwise it would be tilted to one side.⚖️
Balancing equations works in the same manner and a student would have to apply the concepts of addition, subtraction, multiplication and division altogether in order to solve the equation. Learn more about the concept of balancing equations from Mrs Monica Leong in our P1 Math lesson!
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