This is an open-source C++ algorithm to compute Q-rational points on an elliptic curve defined over the field Q. To support the algorithm, a library of integers with arbitrary length and rational ...

The method to divide fractions is to keep the first fraction the same, turn the divide sign into a multiply and turn the second fraction upside down. This is known as multiplying by the reciprocal.

We propose that integrated number sense, the ability to fluidly translate and compare magnitudes within and across notations, is central to understanding of rational numbers. Consistent with this ...