# Dudley Leavitt, Pike's System of Arithmetick, 1826

The following excerpt is from the book Pike's System of Arithmetick Abridged : Designed to Facilitate The Study of the Science of Numbers by Dudley Leavitt, published in 1826.

The portion quoted here concerns the "Chuquet" number-names.

This book is based on Pike's A New and Complete System of Arithmetick, 1822.

This book is referenced by W. D. Henkle in Names of the Periods in Numeration, 1860.

Note. — Six places of figures, beginning on the right, are called a period; but they are commonly divided into half periods of three figures each. This division enables us to read any number of figures as easily as we can read the first period.

Rule. — Commit the words at the head of the Table, viz. units, tens, hundreds, &c. to memory; then, to the simple value of each figure, join the name of its place, beginning at the left hand and reading towards the right. More particularly — 1. Place a dot under the right hand figure of the 2d, 4th, 6th, 8th, &c. half periods, and the figure over such dot will, universally, have the name of thousands. 2. Place the figures 1, 2, 3, 4, &c. as indices, over the 2d, 3d, 4th, &c. period: These indices will then show the number of times the millions are involved — the figure under 1 bearing the name of millions, that under 2, the name of billions, (or millions of millions); that under 3, trillions (or millions of millions of millions.)

EXAMPLE.

 Sextillions. Quintillions. Quadrillions. Trillions. Billions. Millions. Units. th.   un. th.   un. th.   un. th.   un. th.   un. th.   un. 6 5 4 3 2 1 913,208. 000,341. 620,057. 219,356. 819,379. 120,406. 129,763

Note. — Billions is substituted for millions of millions; Trillions, for millions of millions of millions; Quadrillions, for millions of millions of millions of millions. Quintillions, Sextillions, Septillions, Octillions, Nonillions, Decillions, Undecillions, Duodecillions, &c answer to millions so often involved as their indices respectively denote.

The right hand figure of each half period has the place of units, of that half period; the middle one, that of tens, and the left hand one, that of hundreds.

APPLICATION. — Let the scholer now read, or write down in words at length, the following numbers : —

 8 437 709.040 3.476.194 7.184.397.647 17 3.01 879.096 84.094.007 49.163.189.186 129 76.506 4.091.875 690.748.591 500.098.422.700

Write down, in proper figures, the following numbers : —

Fifteen

Two hundred and seventy-nine

Three thousand four hundred and three

Thirty-seven thousand five hundred and sixty-seven

Four hundred one thousand and twenty-eight

Nine millions seventy-two thousand and two hundred

Fifty-five millions three hundred nine thousand and nine

Eight hundred millions three hundred forty-four thousand and two hundred

Two thousand five hundred and forty-three millions four hundred and thirty one thousand seven hundred and two

Source

mrob27
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