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To add the vectors (x₁,y₁) and (x₂,y₂), we add the corresponding components from each vector: (x₁+x₂,y₁+y₂). Here's a concrete example: the sum of (2,4) and (1,5) is (2+1,4+5), which is (3,9). There's also a nice graphical way to add vectors, and the two ways will always result in the same vector.​​

Subject:
Algebra
Material Type:
Lesson
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Author:
Salman Khan
02/07/2018
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This arithmetic lesson demonstrates dividing decimals by decimals.

Subject:
Mathematics
Material Type:
Lecture
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Author:
Salman Khan
07/13/2013
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This arithmetic lesson demonstrates more long division problems with remainders.[Arithmetic playlist: Lesson 26 of 38]

Subject:
Mathematics
Material Type:
Lecture
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Author:
Salman Khan
12/15/2011
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You get the general idea of decimal is and what the digits in different places represent (place value). Now you're ready to do something with the decimals. Adding and subtracting is a good place to start. This will allow you to add your family's expenses to figure out if your little brother is laundering money (perhaps literally). Have fun! Common Core Standard: 5.NBT.B.7

Subject:
Numbers and Operations
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Activity/Lab
Homework/Assignment
Lecture
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Author:
Khan
Salman
06/25/2014
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You get the general idea of decimal is and what the digits in different places represent (place value). Now you're ready to do something with the decimals. Adding and subtracting is a good place to start. This will allow you to add your family's expenses to figure out if your little brother is laundering money (perhaps literally). Have fun! Common Core Standard: 5.NBT.B.7

Subject:
Numbers and Operations
Material Type:
Activity/Lab
Homework/Assignment
Lecture
Provider:
Provider Set:
Author:
Khan
Salman
06/25/2014
Conditions of Use:
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You get the general idea of decimal is and what the digits in different places represent (place value). Now you're ready to do something with the decimals. Adding and subtracting is a good place to start. This will allow you to add your family's expenses to figure out if your little brother is laundering money (perhaps literally). Have fun! Common Core Standard: 5.NBT.B.7

Subject:
Numbers and Operations
Material Type:
Activity/Lab
Homework/Assignment
Lecture
Provider:
Provider Set:
Author:
Khan
Salman
06/25/2014
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The real world is seldom about whole numbers. If you precisely measure anything, you're likely to get a decimal. If you don't know how to multiply these decimals, then you won't be able to do all the powerful things that multiplication can do in the real world (figure out your commission as a robot possum salesperson, determining how much shag carpet you need for your secret lair, etc.). Common Core Standards: 5.NBT.B.5, 5.NBT.B.7

Subject:
Numbers and Operations
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Activity/Lab
Homework/Assignment
Lecture
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Author:
Khan
Salman
06/25/2014
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The real world is seldom about whole numbers. If you precisely measure anything, you're likely to get a decimal. If you don't know how to multiply these decimals, then you won't be able to do all the powerful things that multiplication can do in the real world (figure out your commission as a robot possum salesperson, determining how much shag carpet you need for your secret lair, etc.). Common Core Standards: 5.NBT.B.5, 5.NBT.B.7

Subject:
Numbers and Operations
Material Type:
Activity/Lab
Homework/Assignment
Lecture
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Provider Set:
Author:
Khan
Salman
06/25/2014
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The real world is seldom about whole numbers. If you precisely measure anything, you're likely to get a decimal. If you don't know how to multiply these decimals, then you won't be able to do all the powerful things that multiplication can do in the real world (figure out your commission as a robot possum salesperson, determining how much shag carpet you need for your secret lair, etc.). Common Core Standards: 5.NBT.B.5, 5.NBT.B.7

Subject:
Numbers and Operations
Material Type:
Activity/Lab
Homework/Assignment
Lecture
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Provider Set:
Author:
Khan
Salman
06/25/2014
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The real world is seldom about whole numbers. If you precisely measure anything, you're likely to get a decimal. If you don't know how to multiply these decimals, then you won't be able to do all the powerful things that multiplication can do in the real world (figure out your commission as a robot possum salesperson, determining how much shag carpet you need for your secret lair, etc.). Common Core Standards: 5.NBT.B.5, 5.NBT.B.7

Subject:
Numbers and Operations
Material Type:
Activity/Lab
Homework/Assignment
Lecture
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Provider Set:
Author:
Khan
Salman
06/25/2014
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Rating

The real world is seldom about whole numbers. If you precisely measure anything, you're likely to get a decimal. If you don't know how to multiply these decimals, then you won't be able to do all the powerful things that multiplication can do in the real world (figure out your commission as a robot possum salesperson, determining how much shag carpet you need for your secret lair, etc.). Common Core Standards: 5.NBT.B.5, 5.NBT.B.7

Subject:
Numbers and Operations
Material Type:
Activity/Lab
Homework/Assignment
Lecture
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Provider Set:
Author:
Khan
Salman
06/25/2014
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The real world is seldom about whole numbers. If you precisely measure anything, you're likely to get a decimal. If you don't know how to multiply these decimals, then you won't be able to do all the powerful things that multiplication can do in the real world (figure out your commission as a robot possum salesperson, determining how much shag carpet you need for your secret lair, etc.). Common Core Standards: 5.NBT.B.5, 5.NBT.B.7

Subject:
Numbers and Operations
Material Type:
Activity/Lab
Homework/Assignment
Lecture
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Author:
Khan
Salman
06/25/2014
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Anything you can do with whole numbers, you can do with decimals. Subtraction is no exception. In this tutorial, you'll get some good practice subtracting decimals! Common Core Standard: 5.NBT.B.7

Subject:
Numbers and Operations
Material Type:
Activity/Lab
Homework/Assignment
Lecture
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Author:
Khan
Salman
06/25/2014
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Anything you can do with whole numbers, you can do with decimals. Subtraction is no exception. In this tutorial, you'll get some good practice subtracting decimals! Common Core Standard: 5.NBT.B.7

Subject:
Numbers and Operations
Material Type:
Activity/Lab
Homework/Assignment
Lecture
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Author:
Khan
Salman
06/25/2014
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This lesson explains leverage and insolvency and why it is good or bad. [Banking, Money, Finance playlist: Lesson 10 of 24]

Subject:
Finance
Economics
Material Type:
Lecture
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Author:
Khan, Salman
01/17/2012
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This lesson provides an analysis of the federal reserve balance sheet as of February 2007. [Banking, Money, Finance playlist: Lesson 21 of 24]

Subject:
Finance
Economics
Material Type:
Lecture
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Author:
Khan, Salman
01/17/2012
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This lesson discusses how open market operations effect the rate at which banks lend to each other overnight. [Banking, Money, Finance playlist: Lesson 14 of 24]

Subject:
Finance
Economics
Material Type:
Lecture
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Author:
Khan, Salman
01/17/2012
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This lesson presents more information on the mechanics of the Federal Funds rate and how it increases the money supply. [Banking, Money, Finance playlist: Lesson 15 of 24]

Subject:
Finance
Economics
Material Type:
Lecture
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Author:
Khan, Salman
01/17/2012
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This lesson talks about the gold standard and is a short discussion on the meaning of wealth. [Banking, Money, Finance playlist: Lesson 17 of 24]

Subject:
Finance
Economics
Material Type:
Lecture
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Author:
Khan, Salman
01/17/2012
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This lesson tells how banks can give out loans without ever giving out gold. [Banking, Money, Finance playlist: Lesson 7 of 24]

Subject:
Finance
Economics
Material Type:
Lecture
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Author:
Khan, Salman
01/17/2012
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This lesson talks about how money is created in a fractional reserve banking system. [Banking, Money, Finance playlist: Lesson 4 of 24]

Subject:
Finance
Economics
Material Type:
Lecture
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Author:
Khan, Salman
01/17/2012
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This lesson explains reserve requirements and how they limit how much lending a bank can do. [Banking, Money, Finance playlist: Lesson 8 of 24]

Subject:
Finance
Economics
Material Type:
Lecture
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Author:
Khan, Salman
01/17/2012
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This lesson introduces bank notes and how you are more familiar with them than you realize. [Banking, Money, Finance playlist: Lesson 5 of 24]

Subject:
Finance
Economics
Material Type:
Lecture
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Author:
Khan, Salman
01/17/2012
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This lesson discusses government debt and treasuries. It explains what it means that Federal Reserve Notes are issued by the Reserve Bank but are not an obligation on the government. [Banking, Money, Finance playlist: Lesson 12 of 24]

Subject:
Finance
Economics
Material Type:
Lecture
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Author:
Khan, Salman
01/17/2012
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This lesson introduces the ways that banks make money. [Banking, Money, Finance playlist: Lesson 1 of 24]

Subject:
Finance
Economics
Material Type:
Lecture
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Author:
Khan, Salman
01/17/2012
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This lesson is an introduction to the income statement of a bank, and to income statements, in general. [Banking, Money, Finance playlist: Lesson 2 of 24]

Subject:
Finance
Economics
Material Type:
Lecture
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Author:
Khan, Salman
01/17/2012
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This lesson discusses the idea of a reserve bank. [Banking, Money, Finance playlist: Lesson 11 of 24]

Subject:
Finance
Economics
Material Type:
Lecture
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Author:
Khan, Salman
01/17/2012
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This lesson discusses the mechnics of repurchase agreements, reposession transactions and loans. [Banking, Money, Finance playlist: Lesson 20 of 24]

Subject:
Finance
Economics
Material Type:
Lecture
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Author:
Khan, Salman
01/17/2012
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This lesson idiscusses how bank notes and checks can be used. [Banking, Money, Finance playlist: Lesson 6 of 24]

Subject:
Finance
Economics
Material Type:
Lecture
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Author:
Khan, Salman
01/17/2012
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This lesson talks about the pros and cons of various banking systems and talks more about using gold as a standard. [Banking, Money, Finance playlist: Lesson 18 of 24]

Subject:
Finance
Economics
Material Type:
Lecture
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Author:
Khan, Salman
01/17/2012
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This lesson explains how reserve ratios limit how much lending an individual can do. [Banking, Money, Finance playlist: Lesson 9 of 24]

Subject:
Finance
Economics
Material Type:
Lecture
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Provider Set:
Author:
Khan, Salman
01/17/2012
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This lesson discusses the discount rate and window and the concept of lender of last resort. [Banking, Money, Finance playlist: Lesson 19 of 24]

Subject: