Fraction: Difference between revisions

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Ratios are very fundamental. Any measurement at all involves ratios.
Ratios are very fundamental. Any measurement at all involves ratios.
A natural number is a set of several things, thought of in relation to a single thing.
A fraction is a set of one or more things, thought of in relation to a set of one or more things.
Just like how I defined an integer as an ordered pair of natural numbers, I could define a fraction as an ordered pair of natural numbers. The difference is that these pairs have a different equivalence relation, and different addition / multiplication operations.


== Rational numbers ==
== Rational numbers ==
Rational numbers, which we denote <math>\mathbb{Q}</math>, is concept of signed differences between ratios.
Rational numbers, which we denote <math>\mathbb{Q}</math>, is concept of signed differences between ratios.

Revision as of 21:40, 18 April 2024

A fraction is a concept which measures magnitude.

Ratio

A ratio is [TODO]

Ratios are very fundamental. Any measurement at all involves ratios.

A natural number is a set of several things, thought of in relation to a single thing.

A fraction is a set of one or more things, thought of in relation to a set of one or more things.

Just like how I defined an integer as an ordered pair of natural numbers, I could define a fraction as an ordered pair of natural numbers. The difference is that these pairs have a different equivalence relation, and different addition / multiplication operations.

Rational numbers

Rational numbers, which we denote , is concept of signed differences between ratios.