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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 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
Material Type:
Activity/Lab
Homework/Assignment
Lecture
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Author:
Khan
Salman
06/25/2014
Conditions of Use:
Remix and Share
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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:
Remix and Share
Rating

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:
Remix and Share
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
Provider:
Provider Set:
Author:
Khan
Salman
06/25/2014
Conditions of Use:
Remix and Share
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
Provider:
Provider Set:
Author:
Khan
Salman
06/25/2014
Conditions of Use:
Remix and Share
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
Provider:
Provider Set:
Author:
Khan
Salman
06/25/2014
Conditions of Use:
Remix and Share
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
Provider:
Provider Set:
Author:
Khan
Salman
06/25/2014
Conditions of Use:
Remix and Share
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
Provider:
Provider Set:
Author:
Khan
Salman
06/25/2014
Conditions of Use:
Remix and Share
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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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Provider Set:
Author:
Khan
Salman
06/25/2014
Conditions of Use:
Remix and Share
Rating

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
Provider:
Provider Set:
Author:
Khan
Salman
06/25/2014
Conditions of Use:
Remix and Share
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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]

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