To show physically a factorization of a quadratic I would use algebra tiles. First the upper left would be the number of squares I had put in a rectangular array.
The lower left would be the number (constant) I had in a rectangular array. The deminsions of the squares would be my variable and the deminsions of the small square would be my constants.
x^2+5x+6
x + 3
x x^2+3x
+
2 2x +6
(x+2)(x+3)
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You could represent it as 4/8.
The same as you would a rational number. Its distance from zero will represent the number, whether it is rational or irrational.
2/7
use a absolute value to represent a negative number in the real world
A byte represented of 8 bits