There's a difference in type of thinking in moving from operations on numbers (basic whole number math) to operations-on-operations-on-numbers (anything with fractions).
Suddenly, you need to begin to understand the rules around operators, sequencing, and what operations are legal and illegal.
Absent that understanding, even...
1/4 x 2/5
... gets very complicated trying to reason with physical analogs.
So it's the point at which math becomes "pure" rather than strictly physically-mapped.
Suddenly, you need to begin to understand the rules around operators, sequencing, and what operations are legal and illegal.
Absent that understanding, even...
... gets very complicated trying to reason with physical analogs.So it's the point at which math becomes "pure" rather than strictly physically-mapped.