As per the above example considered first we perform the multiplication operation, because before addition we always go for multiplication. In example, 6 * 1000 equals 6,000; 4 * 100 equals 400; 4 * 10 equals 40; and 4 times 1 equals 4. The equation is now given as 6,000 + 400 + 40 + 4. Adding up these multiplication results to get the original standard number as: 6,000 + 400 + 40 + 4 equals 6444.
Like this we can have many such standard forms related to numbers, equations, expressions, functions etc. Let’s consider another example of finding Linear Equations in a standard form. Linear equations allow plotting the variables graphically when solved. In general the linear equations that we consider consists of two unsolved variables, with a usual representation of them by 'x' and 'y' respectively. The standard form of a linear equation can be given as: ax + by = c. In this equation a, b, c are the constants, with 'a' and 'b' as coefficients of 'x' and 'y' respectively.
Say for example we have a linear equation: 20y + 12 = 4x is written as by + c = ax. Writing it in standard form as: 20y + -4x + 12 = 0, where a = 20, b = -4 and c = 12.
In this way we can write standard forms for various other mathematical forms.