Subtracting Decimals - Word Problem
This video is from Sal Khan about subtracting decimals using the problem: Leo has $4,522.08 in his bank account. He deposits another $875.50 and then withdraws $300.00 in cash. How much is left in his bank account?

Mr. Khan uses computer software for demonstration. The screen is a little 'busy' so the viewer may want to open the screen to 'full screen' to see all more clearly. (02:18)

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Mr. Duey - Fractions Rap
This is an excellent, catchy rap by Mr. Duey with lots of examples and great visual effects teaching how to convert fractions to percentages and how to change improper fractions to mixed numbers. (02:35)
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Dividing Fractions
This is a lesson on how to divide fractions.The instructor uses a white board. He uses a great expression called 'flip and dip." (03:02)
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Basic Math: Lesson 6 - Video Clip #9 - Arithmetic of Fractions: Addition
Concepts covered: Addition of Improper and Proper Fractions and also Mixed Numbers.
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Redefining the Wall: Architecture, Materials and Macroelectronics
As a principle element of architecture, technology has allowed for the wall to become an increasingly dynamic component of the built environment. The traditional connotations and objectives related to the wall are being redefined: static becomes fluid, opaque becomes transparent, barrier becomes filter and boundary becomes borderless. Combining smart materials, intelligent systems, engineering, and art can create a component that does not just support and define but significantly enhances the ar
Author(s): Ataman, Osman; Rogers, John; Ilesanmi, Adesida

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Jenner's interview set to air, "Virgin Mountain" wins at Tribeca
The day's top showbiz news and headlines including Bruce Jenner's interview with Diane Sawyer set to air, "Virgin Mountain" wins at the Tribeca Film Festival, and Chita Rivera gets rave reviews for "The Visit." Bob Mezan reports. Subscribe: http://smarturl.it/reuterssubscribe More updates and breaking news: http://smarturl.it/BreakingNews Reuters tells the world's stories like no one else. As the largest international multimedia news provider, Reuters provides coverage around the globe and acr
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5 Example of a straightforward subtraction

In the example below of a straightforward subtraction, in every column the digit at the top of the column is bigger than the digit at the bottom. Click on each step in turn to see how to carry out the calculation.

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Desert Biome
The desert biome is characterized by low precipitation, a high rate of evaporation (seven to fifty times as much as precipitation), and a wide daily range in temperature. The dramatic temperature fluctuations are the result of low humidity, which allows up to 90 percent of solar radiation to penetrate the atmosphere and heat the ground during the day, then for this accumulated heat to be released back into the atmosphere at night. Precipitation in deserts, unlike other biomes, is highly irregula
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5.4 The scanning tunnelling microscope

The scanning tunnelling microscope (STM) is a device of such extraordinary sensitivity that it can reveal the distribution of individual atoms on the surface of a sample. It can also be used to manipulate atoms and even to promote chemical reactions between specific atoms. The first STM was developed in 1981 at the IBM Laboratories in Zurich by Gerd Binnig and Heinrich Rohrer. Their achievement was recognised by the award of the 1986 Nobel prize for physics.

In an STM the sample
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Except for third party materials and/or otherwise stated (see terms and conditions) the content in OpenLearn is released for use under the terms of the Creative Commons Attribution-NonCommercial-Share

18.969 Topics in Geometry: Mirror Symmetry (MIT)
This course will focus on various aspects of mirror symmetry. It is aimed at students who already have some basic knowledge in symplectic and complex geometry (18.966, or equivalent). The geometric concepts needed to formulate various mathematical versions of mirror symmetry will be introduced along the way, in variable levels of detail and rigor.
Author(s): Auroux, Denis

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Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative C

Of Mice and Children: Unraveling the Effects of a Technologized Infancy
Dimitri's passion is developing actionable strategies to optimize the cognitive, emotional, and social development of preschool children. The pursuit of that passion has taken him from the exam room, to the community and most recently to cages of newborn mice. Christakis' laboratory focuses on the effects of early environmental influences on child health and development. He speaks frequently to international audiences of pediatricians, parents, and educators about the impact of early learning
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Nourishing the Brain
The link between nutrition and learning. (01:37)
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Three essays on bank efficiency
Since commercial banks play important roles in the financial markets, it is important to evaluate whether banks operate efficiently. Moreover, given increased competition from non-bank financial institutions, commercial banks should operate more efficiently than they did previously. Commercial banks might operate more efficiently if they have superior information. If this is true, bank size should not matter to the operation of the bank. Thus, as long as the bank has superior information, it wil
Author(s): Chen, Yi-Kai

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Stem-and-Leaf Plot
This video gives a brief description of a Stem-and-leaf plot, how to make them and use them to find the median and range.
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Relative Frequency Histogram
In this video, an unfinished histogram is pictured.  The instructor explains how to complete the histogram and does each step necessary to do so. 

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Drawing a Histogram
This lesson takes provided data about mass to create a histogram about the data.  While the lesson relates to a previous experiment, it still provides good step by step instruction on how to draw a histogram.  Graph paper will be needed to follow along and complete the lesson along with the instructor.  It is hard at times to see what the instructor is writing because the writing is very small.

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Histograms
In this video (06:08), Mr. Khan explains how to visualize data using a histogram. Mr. Khan uses the computer software (with different colors) to illustrate his points. Sal Khan is the recipient of the 2009 Microsoft Tech Award in Education.
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Convex optimization I : EE364A : Linear systems and optimization
This lecture course on convex optimisation is made available as part of Stanford Engineering Everywhere, an initiative from Stanford University licensed under a Creative Commons Attribution 3.0 United States licence. The course introduces a special class of mathematical optimisation problems, convex optimisation, including the basic concepts and theorems. The topics of the course include convex sets, convex functions, convex optimisation problems, duality, approximation and fitting, statistical
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History of Electric Light Bulb
The electric light bulb revolutionized the world. Many people tried to invent one, but Thomas Edison succeeded. This video is about how he did it. 
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1.4.9 Sample variance

It is worth noting that a special term is reserved for the square of the sample standard deviation: it is known as the sample variance.

The sample variance

The sample variance of a data sample x 1, x 2, …, xn is given by


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