Sorry but that makes no sense to me. I think of fractions as a different notation for division.
That is why 2/3 is 0.66... It's just a matter of doing the division.
The laws of arithmetic for fractions flow naturally from the idea that a fraction is division. You know you can divide both numerator and denominator by a number for the same reason that 3 : 4 = 12 : 16
You are trying to keep things simple. Introducing fractions as being different from division is introducing unnecessary complexity.
@gregg4 Your statement 2/3 is 0.66... does not make sense until you first explain what the object 0.66.. means. Division is fine if one natural number is a factor of the other. If not, we first have to create the object that is the division before we can talk about it. Give it some more thought.
So far in your system division is only defined when one is a factor of the other. You will have to expand that definition eventually. Why not introduce fractions after that?
Sorry but that makes no sense to me. I think of fractions as a different notation for division.
That is why 2/3 is 0.66... It's just a matter of doing the division.
The laws of arithmetic for fractions flow naturally from the idea that a fraction is division. You know you can divide both numerator and denominator by a number for the same reason that 3 : 4 = 12 : 16
You are trying to keep things simple. Introducing fractions as being different from division is introducing unnecessary complexity.
gregg4 1 month ago in playlist MathFoundations
@gregg4 Your statement 2/3 is 0.66... does not make sense until you first explain what the object 0.66.. means. Division is fine if one natural number is a factor of the other. If not, we first have to create the object that is the division before we can talk about it. Give it some more thought.
njwildberger 1 month ago
@njwildberger
So far in your system division is only defined when one is a factor of the other. You will have to expand that definition eventually. Why not introduce fractions after that?
gregg4 1 month ago
Outstanding.Thank you professor.
kingofdice66 1 month ago