Excerpt from Intellectual Arithmetic, or an Analysis of the Science of Numbers: With Especial Reference Mental Training and Development
Every arithmetical process, therefore, has a direct reference to the unit 1; and with this view of the subject before him, the pupil always has the means of making a correct analysis.
Addition is the process of finding a number which shall contain as many units, and no more, as are found in all the numbers added. Multiplication is taking one number, called the multiplicand, as many times as there are units in another number, called the multiplier, and the number which shows the result of such taking, is called the product: and similarly for all other arithmetical processes!
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