# 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.But the system has never spread; and the word " dozen " itself is based on the

**denary**scale.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 3.4.4.4+ 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.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.There is no essential difference, however, between this and the

**denary**basis.AdvertisementThe 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.AdvertisementUnfortunately 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) .