Standard form

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In British English, standard form is the more common name for scientific notation.

Standard forms in mathematics assist people in identifying types of equations.

Examples of standard forms in geometry include:

The equation of a line:
- A>0
- A, B, and C are not rational nonintegers.

The equation of a circle: $(x + k)^2 + (y + h)^2 = r^2\,$

By contrast, there are alternative forms for writing equations. For example, the equation of a line may be written as a linear equation in point-slope and slope-intercept form.

Standard form is used by many mathematicians and scientists to write extremely large numbers in a more concise and understandable way.

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[edit] Slope-Intercept Form to Standard Form

Slope intercept form is in the form $y = mx + b\,$ When converting to standard form it is important that A and B are both whole numbers.

For example: To convert $y = (3/4)x + 3\,$ to standard form first rewrite the equation to get: $(-3/4)x + y = 3\,$ "A" is now a fraction so we must multiply both sides of the equation by the denominator of A: $-4((3/4)x + y) = -4(3)\,$ To get: $3x - 4y = -12\,$