In mathematics, a standard form is a way of presenting a mathematical object as a mathematical expression, often in the simplest representation possible, and in a way that allows it to be identified in a unique way. The standard form is used to write equations, numbers, or expressions using a certain set of rules. Here are some examples of standard forms:
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Standard form of numbers: Standard form is used by mathematicians and scientists to write extremely large or small numbers in a more concise and understandable way, the most prominent of which being the scientific notation. In scientific notation, a number is written as a decimal number times a power of 10.
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Standard form of a polynomial: The standard form for writing down a polynomial is to put the terms with the highest degree first (like the "2" in x^2 if there is one variable) .
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Standard form of a linear equation: The standard form for writing down a linear equation is Ax + By = C, where A, B, and C are integers. This form is also very useful when solving systems of two linear equations.
The standard form of mathematical elements allows us to work in a convenient and efficient manner by making them easily readable for everyone.
