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Adding vectors algebraically & graphically
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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.​​

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Subject:
Algebra
Mathematics
Material Type:
Lesson
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
11/17/2020
Arithmetic: More Long Division and Remainder Examples (Part 3 of 4)
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This arithmetic lesson demonstrates more long division problems with remainders.[Arithmetic playlist: Lesson 26 of 38]

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Subject:
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
11/17/2020
Arithmetic Operations: Adding Decimals Example 1
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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

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Subject:
Mathematics
Number and Quantity
Material Type:
Activity/Lab
Homework/Assignment
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan
Salman
Date Added:
11/17/2020
Arithmetic Operations: Adding Decimals Example 2
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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

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Subject:
Mathematics
Number and Quantity
Material Type:
Activity/Lab
Homework/Assignment
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan
Salman
Date Added:
11/17/2020
Arithmetic Operations: Adding Decimals Example 3
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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

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Subject:
Mathematics
Number and Quantity
Material Type:
Activity/Lab
Homework/Assignment
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan
Salman
Date Added:
11/17/2020
Arithmetic Operations: Dividing Decimals 1
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In this tutorial, we'll extend our division skills to include decimals! Common Core Standard 5.NBT.B.7

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Subject:
Mathematics
Number and Quantity
Material Type:
Activity/Lab
Homework/Assignment
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan
Salman
Date Added:
11/17/2020
Arithmetic Operations: Dividing Decimals 3
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In this tutorial, we'll extend our division skills to include decimals! Common Core Standard 5.NBT.B.9

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Subject:
Mathematics
Number and Quantity
Material Type:
Activity/Lab
Homework/Assignment
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan
Salman
Date Added:
11/17/2020
Arithmetic Operations: Dividing Decimals 4
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In this tutorial, we'll extend our division skills to include decimals! Common Core Standard 5.NBT.B.10

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Subject:
Mathematics
Number and Quantity
Material Type:
Activity/Lab
Homework/Assignment
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan
Salman
Date Added:
11/17/2020
Arithmetic Operations: Dividing Decimals 5
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In this tutorial, we'll extend our division skills to include decimals! Common Core Standard 5.NBT.B.11

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Subject:
Mathematics
Number and Quantity
Material Type:
Activity/Lab
Homework/Assignment
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan
Salman
Date Added:
11/17/2020
Arithmetic Operations: Division 1
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Let's learn to divide any whole number by any other! Common Core Standard: 5.NBT.B.6

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Subject:
Mathematics
Number and Quantity
Material Type:
Activity/Lab
Homework/Assignment
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan
Salman
Date Added:
11/17/2020
Arithmetic Operations: Division 2
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Let's learn to divide any whole number by any other! Common Core Standard: 5.NBT.B.7

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Subject:
Mathematics
Number and Quantity
Material Type:
Activity/Lab
Homework/Assignment
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan
Salman
Date Added:
11/17/2020
Arithmetic Operations: Multiplying Decimals 2
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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

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Subject:
Mathematics
Number and Quantity
Material Type:
Activity/Lab
Homework/Assignment
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan
Salman
Date Added:
11/17/2020
Arithmetic Operations: Multiplying Decimals 4
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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

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Subject:
Mathematics
Number and Quantity
Material Type:
Activity/Lab
Homework/Assignment
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan
Salman
Date Added:
11/17/2020
Arithmetic Operations: Multiplying Decimals 5
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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

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Subject:
Mathematics
Number and Quantity
Material Type:
Activity/Lab
Homework/Assignment
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan
Salman
Date Added:
11/17/2020
Arithmetic Operations: Multiplying Decimals 6
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CC BY-NC
Rating
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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

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Subject:
Mathematics
Number and Quantity
Material Type:
Activity/Lab
Homework/Assignment
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan
Salman
Date Added:
11/17/2020
Arithmetic Operations: Subtracting Decimals Example 1
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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

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Subject:
Mathematics
Number and Quantity
Material Type:
Activity/Lab
Homework/Assignment
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan
Salman
Date Added:
11/17/2020
Arithmetic Operations: Subtracting Decimals Example 2
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CC BY-NC
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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

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Subject:
Mathematics
Number and Quantity
Material Type:
Activity/Lab
Homework/Assignment
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan
Salman
Date Added:
11/17/2020
Banking, Money, Finance: About Leverage and Solvency
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CC BY-NC-SA
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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]

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Subject:
Business and Communication
Economics
Finance
Social Studies
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
11/17/2020
Banking, Money, Finance: Analysis of the Federal Reserve Balance Sheet as of February 2007
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CC BY-NC-SA
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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]

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Subject:
Business and Communication
Economics
Finance
Social Studies
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
11/17/2020
Banking, Money, Finance: Federal Funds Rate
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CC BY-NC-SA
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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]

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Subject:
Business and Communication
Economics
Finance
Social Studies
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
11/17/2020