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Numbers and Numerals<br />

The use of knots to designate numbers is found in Germany in<br />

connection with the number of measures of grain in a sack Menfinger<br />

shows the shapes of the knots and their numerical meaning<br />

as follows:<br />

11<br />

In recent times machines have been invented in Europe and<br />

America by which we can perform all the operations with numbers<br />

far more rapidly than is possible with the abacus or with<br />

pencil and paper. You have often seen the cash register used in<br />

stores, and this adds very quickly and accurately. You may also<br />

have seen machines for making change, in which, for example,<br />

you place a dollar bill to pay for something that costs 37 cents.<br />

The salesman simply pushes a button marked Si and another<br />

one or two to represent 37.x`, and the change (630 comes out.<br />

The time will come when high schools giving commercial<br />

courses not only will have classes in stenography and typewriting,<br />

but will give instruction in the use of business machines of various<br />

kinds, including calculators. The simplest types of calculators<br />

merely give results in addition and subtraction. Others list numbers,<br />

add, subtract, multiply, and divide. Bookkeepers no longer<br />

need to figure percentages; machines do this work more rapidly<br />

than any person can, and with less risk of errors. Many types of<br />

thew calculators can be operated by electricity, and some are so<br />

small that they can be easily carried about by hand.*<br />

Calculating machines or many kinds are described in as excellent work<br />

by Perley Morse, Business Machines, Longmans, Green and Co., 1932.

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