The distributive law of multiplication over addition | Pre-Algebra | Khan Academy
Learn how to apply the distributive law of multiplication over addition and why it works. This is sometimes just called the distributive law or the distributive property.
Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off!
In some cases, we need to slightly manipulate a system of equations before we can solve it using the elimination method. So how it's done in this video. Created by Sal Khan.
Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-systems-of-eq/math1-equivalent-systems-of-equations/v/why-we-do-the-same-thing-to-both-sides-basic-systems?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath
Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-systems-of-eq/math1-equivalent-systems-of-equations/v/how-many-bags-of-potato-chips-do-people-eat?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath
High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it.
About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything.
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https://www.youtube.com/watch?v=wYrxKGt_bLg
Note: All Khan Academy content is available for free at (www.khanacademy.org)
u12_l3_t1_we2 Solving quadratics by factoring
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https://www.youtube.com/watch?v=uktzcTg_N7U
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Review of balance sheets. Difference between illiquidity and insolvency.
More free lessons at: http://www.khanacademy.org/video?v=ZUEjRYe7MRk
https://www.youtube.com/watch?v=ZUEjRYe7MRk
These relationships are better understood at the microscopic scale, at which all of the different manifestations of energy can be modeled as a combination of energy associated with the motion of particles and energy associated with the configuration (relative position of the particles). In some cases the relative position energy can be thought of as stored in fields (which mediate interactions between particles). This last concept includes radiation, a phenomenon in which energy stored in fields moves across space.
Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help!
Donate or volunteer today! Donate here: https://www.khanacademy.org/donate
Volunteer here: https://www.khanacademy.org/contribute
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https://www.youtube.com/watch?v=VeueBB5Abt4
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Evaluating the surface integral over the outside of the chopped cylinder
Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_integrals/v/surface-integral-ex3-part-3-top-surface?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus
Missed the previous lesson?
https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_integrals/v/surface-integral-ex3-part-1-parameterizing-the-outside-surface?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus
Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
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https://www.youtube.com/watch?v=xGiILI906C4
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Introduction to proteins as polymers of amino acids (monomers).
View more lessons or practice this subject at https://www.khanacademy.org/science/high-school-biology/hs-biology-foundations/hs-biological-macromolecules/v/introduction-to-proteins-and-amino-acids?utm_source=youtube&utm_medium=desc&utm_campaign=highschoolbiology
Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today!
Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc
Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc
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https://www.youtube.com/watch?v=78QUeXVKiJ4
Note: All Khan Academy content is available for free at (www.khanacademy.org)
More on probability.
More free lessons at: http://www.khanacademy.org/video?v=wBDOCvHYckE
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https://www.youtube.com/watch?v=wBDOCvHYckE
Note: All Khan Academy content is available for free at (www.khanacademy.org)