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.