The vague idea of continuity, which we owe to intuition, resolved itself into a complicated system of inequalities referring to whole numbers.
Let us start from the scale of whole numbers; between two consecutive steps, intercalate one or more intermediary steps, then between these new steps still others, and so on indefinitely.
The phrase of the programme, Division of whole numbers, intends that the pupil shall be required to explain the practical rule, and be able to use it in a familiar and rapid manner.
The Division of whole numbers is the first question considered at all difficult.
This, as in the case of whole numbers, means that we have to find the sum of a given number of repetitions of the fraction.
Multiply as in whole numbers, and point off from the right of the product as many places as there are decimal places in both multiplier and multiplicand--prefixing ciphers if necessary.
Divide as in whole numbers, annexing ciphers to the dividend, if necessary; then point off from the right of the quotient as many places as the decimal places in the dividend exceed those in the divisor--prefixing ciphers if necessary.
The point of this puzzle turns on the fact that if the magic square were to be composed of whole numbers adding up 15 in all ways, the two must be placed in one of the corners.
If we multiply all three sides of the original triangle by the denominator, we shall get at once a solution in whole numbers.
The above list will hopefully provide you with a few useful examples demonstrating the appropriate usage of "whole numbers" in a variety of sentences. We hope that you will now be able to make sentences using this group of words.
