Denary Sentence Examples
The notation is then said to be in the scale of which ten is the base, or in the denary scale.
The figures used in the Hindu notation might be used to express numbers in any other scale than the denary, provided new symbols were introduced if the base of the scale exceeded ten.
The Roman system, except for the use of symbols for five, fifty, &c., is also in the denary scale, though expressed in a different way.
Similarly the number which in the denary scale is 215 would in the quaternary scale (base 4) be 3113, being equal to 18.104.22.168+ 1.4.4+1.4+3.
The use of the denary scale in notation is due to its use in numeration (§ 18); this again being due (as exemplified by the use of the word digit) to the primitive use of the fingers for counting.Advertisement
Over a large part of the civilized world the introduction of the metric system (§ 118) has caused the notation of all numerical quantities to be in the denary scale.
In Great Britain and her colonies, however, and in the United States, other systems of notation still survive, though there is none which is consistently in one scale, other than the denary.
Within each denomination, however, the denary notation is employed exclusively, e.g.
But the system has never spread; and the word " dozen " itself is based on the denary scale.
There is no essential difference, however, between this and the denary basis.Advertisement
The numeration was in the denary scale, so that it did not agree absolutely with the notation.
In other words, the denary scale, though adopted in notation and in numeration, does not arise in the corresponding mental concept until we get beyond too.
In consequence of this limitation of the power of perception of number, it is practically impossible to use a pure denary scale in elementary number-teaching.
Finger-counting is of course natural to children, and leads to grouping into fives, and ultimately to an understanding of the denary system of notation.
They only apply accurately to divisions by 2, 4, 5, 10, 20, 25 or 50; but they have the convenience of fitting in with the denary scale of notation, and they can be extended to other divisions by using a mixed number as numerator.Advertisement
Unfortunately you cannot stop at the denary version as there is no direct co-relation between base 2 or base 16 and base 10.
Thus, on the denary system (§ 16) we can give independent definitions to the numbers up to ten, and then regard (e.g.) fifty-three as a composite number made up of five tens and three ones.
The words eleven and twelve have been supposed to suggest etymologically a denary basis (see, however, Numeral) .