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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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Salman Khan
02/07/2018
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This arithmetic lesson demonstrates more long division problems with remainders.[Arithmetic playlist: Lesson 26 of 38]

Subject:
Mathematics
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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
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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
Conditional Remix & Share Permitted
CC BY-NC
Rating
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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
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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
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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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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
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Author:
Khan
Salman
06/25/2014
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CC BY-NC
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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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CC BY-NC
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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
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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
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Activity/Lab
Homework/Assignment
Lecture
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Author:
Khan
Salman
06/25/2014
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This 17-minute video lesson looks at understanding the structure of a muscle cell. [Biology playlist: Lesson 50 of 71].

Subject:
Anatomy/Physiology
Biology
Material Type:
Lecture
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Author:
Salman Khan
05/18/2012
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This 14-minute video lesson provides an overview of B cells (B lymphocytes) and how they are activated and produce antibodies. [Biology playlist: Lesson 53 of 71].

Subject:
Biology
Material Type:
Lecture
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Author:
Salman Khan
05/18/2012
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This 18-minute video lesson provides an introduction to bacteria. [Biology playlist: Lesson 18 of 71].

Subject:
Biology
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Lecture
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Author:
Salman Khan
05/18/2012
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This 17-minute video lesson looks at C-4 Photosynthesis: How some plants avoid photorespiration. [Biology playlist: Lesson 33 of 71].

Subject:
Biology
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Lecture
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Author:
Salman Khan
05/18/2012
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This 9-minute video lesson looks at how CAM Plants are able to fix carbon at night so they don't have to keep their stomata open during the day. [Biology playlist: Lesson 34 of 71].

Subject:
Biology
Material Type:
Lecture
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Author:
Salman Khan
05/18/2012
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This 7-minute video lesson provides a correction to Sodium and Potassium Pump Video. [Biology playlist: Lesson 43 of 71].

Subject:
Biology
Material Type:
Lecture
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Author:
Salman Khan
05/18/2012
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This 10-minute video lesson discusses how cytotoxic T-Cells get activated by MHC-I/antigen complexes and then proceed to kill infected cells. [Biology playlist: Lesson 56 of 71].

Subject:
Biology
Material Type:
Lecture
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Author:
Salman Khan
05/18/2012
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This 28-minute video lesson provides an introduction to DNA. [Biology playlist: Lesson 6 of 71].

Subject:
Biology
Genetics
Material Type:
Lecture
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Author:
Salman Khan
05/18/2012
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This 19-minute video lesson looks at diffusion and osmosis. [Biology playlist: Lesson 36 of 71].

Subject:
Biology
Material Type:
Lecture
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Author:
Salman Khan
05/18/2012
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This 17-minute video lesson presents an overview of the Electron Transport Chain. [Biology playlist: Lesson 26 of 71].

Subject:
Biology
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Lecture
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Author:
Salman Khan
05/18/2012
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This 2-minute video lesson provides an overview of early development of a zygote to an embryo. It also discusses embryonic and somatic stem cells. [Biology playlist: Lesson 12 of 71].

Subject:
Biology
Material Type:
Lecture
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Author:
Salman Khan
05/18/2012
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This 13-minute video lesson provides an overview of glycolysis. [Biology playlist: Lesson 24 of 71].

Subject:
Biology
Material Type:
Lecture
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Author:
Salman Khan
05/18/2012
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This 21-minute video lesson provides an introduction to helper T-Cells and their role in activating B cells. [Biology playlist: Lesson 55 of 71].

Subject:
Biology
Material Type:
Lecture
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Author:
Salman Khan
05/18/2012
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This 15-minute video lesson examines hemoglobin and its role in the circulatory system. [Biology playlist: Lesson 40 of 71].

Subject:
Biology
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Lecture
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Author:
Salman Khan
05/18/2012
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This 6-minute vidoe lecture conlcudes the short series on human prehistory. [Biology playlist: Lesson 67 of 71]

Subject:
Biology
Material Type:
Lecture
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Author:
Salman Khan
05/18/2012
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This 6-minute video lesson looks at human prehistory and the human migrations from Africa to Asia and other parts of the world. [Biology playlist: Lesson 64 of 71

Subject:
Biology
Material Type:
Lecture
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Author:
Salman Khan
05/18/2012
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This 6-minute video looks at human prehistory through the ice age. It discusses the migrations from Asia into North and South America. [Biology playlist: Lesson 65 of 71]

Subject:
Biology
Material Type:
Lecture
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Author:
Salman Khan
05/18/2012
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This 7-minute video looks at the introduction of agriculture into human prehistory. [Biology playlist: Lesson 66 of 71]

Subject:
Agriculture
Material Type:
Lecture
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Author:
Salman Khan
05/18/2012
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This 5-minute video lesson introduces this short series on human preshistory. [Biology playlist: Lesson 63 of 71].

Subject:
Biology
Material Type:
Lecture
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Author:
Salman Khan
05/18/2012
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This 15-minute video provides an overview of the inflammatory response. [Biology playlist: Lesson 58 of 71].

Subject:
Biology
Material Type:
Lecture
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Author:
Salman Khan
05/18/2012
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This 18-minute video lesson provides an overview of the Krebs or Citric Acid Cycle. [Biology playlist: Lesson 25 of 71].

Subject:
Biology
Material Type:
Lecture
Provider: