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In arithmetic, long division is a standard division algorithm suitable for dividing multi-digit Hindu-Arabic numerals (positional notation) that is simple enough to perform by hand. It breaks down a division problem into a series of easier steps.
PowerPoint had been included in Microsoft Office from the beginning. PowerPoint 2.0 for Macintosh was part of the first Office bundle for Macintosh which was offered in mid-1989. [55] When PowerPoint 2.0 for Windows appeared, a year later, it was part of a similar Office bundle for Windows, which was offered in late 1990. [56]
Microsoft profits were $5.2 billion, while Apple Inc. profits were $6 billion, on revenues of $14.5 billion and $24.7 billion respectively. [207] Microsoft's Online Services Division has been continuously loss-making since 2006 and in Q1 2011 it lost $726 million. This follows a loss of $2.5 billion for the year 2010. [208]
Microsoft 365 is a product family of productivity software, collaboration and cloud-based services owned by Microsoft.It encompasses online services such as Outlook.com, OneDrive, Microsoft Teams, programs formerly marketed under the name Microsoft Office (including applications such as Word, Excel, PowerPoint, and Outlook on Microsoft Windows, macOS, mobile devices, and on the web), and ...
On September 2, 2013, Microsoft announced its intent to acquire the mobile hardware division of Nokia (which had established a long-term partnership with Microsoft to produce smartphones built off its Windows Phone platform) [19] in a deal worth 3.79 billion euros, along with another 1.65 billion to license Nokia's portfolio of patents.
Polynomial long division can be used to find the equation of the line that is tangent to the graph of the function defined by the polynomial P(x) at a particular point x = r. [3] If R ( x ) is the remainder of the division of P ( x ) by ( x – r ) 2 , then the equation of the tangent line at x = r to the graph of the function y = P ( x ) is y ...
It is an abbreviated form of long division — whereby the products are omitted and the partial remainders are notated as superscripts. As a result, a short division tableau is shorter than its long division counterpart — though sometimes at the expense of relying on mental arithmetic , which could limit the size of the divisor .
Presently, most division algorithms, including long division, are based on this notation or its variants, such as binary numerals. A notable exception is Newton–Raphson division, which is independent from any numeral system. The term "Euclidean division" was introduced during the 20th century as a shorthand for "division of Euclidean rings".