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Tbus altered and enlarged, the Editor conceives that
this Work contains, methodically, all that is necessary to be
known, or performed in Common Arithmetic ; and by con-
Sequence, that the Purchasers hereof need not be at the
Trouble, or Charge of looking into any other of the, almost,
numberless Writers on that Subjet.

If the above Improvement in the Operations of the Rule of Alligation Alternate, should prove of Service in real Bufiness; the Knowledge thereof may induce the Editor to publish some farther Thoughts upon that Subject.

Bell-Dock, Wapping,

April 4th, 1751.

The Explanation of certain Marks and Characters,

which, for the Sake of Brevity and Perfpicuity, are

frequently used in the ensuing Work. + is the Mark of Addition ; and, when it stands between two

Numbers, denotes that they are to be added together. ; is the Mark of Subtraction; and, when it stands between two Numbers, denotes that the latter is to bc taken from

the former. x is the Mark of Multiplication; and, when it stands between

two Numbers, it denotes that they are to be multiplied

together. • is the Mark of Division; and, when two Numbers are

placed in the same manner as the two Points are here, it denotes that the Number above is to be divided by

that below. = is the Mark of Equality; which, being set between two nu

merical Expressions, denotes that they are equal between

themselves. ::: : are the Marks of Proportionality; and denote that the

Numbers, between which they are placed, are proportional
Numbers.

EXAMPLES. For.4+3=7; read, the sum of 4 and 3 is equal to 7. For 4-3=1; read, when three is taken from 4; the Re

mainder is equal to 1. For 4x3=12; read, the Product of 4 and 3 is equal to 12. For 4; read, if 12 be divided by 3, the Quotient is 3

equal to 4. For 1:4:: 3: 12; read, as I is to 4, fo is 3 to 12.

12

A

TRE A TI SE

OF

Common Arithmetic.

c H A P. B.
Concerning Notation of Numbers.

1.

RITHMETIC teaches the properties of
Numbers; and by them deduces the me-

thods of calculating, or computing from A certain data, the values, weights, measures,

distances, proportions, &c. of things.

2. Number is that by which every thing

is counted ; or that which answers this question, How many? (unless it be answer'd by nothing :) So if it be asked, how many days are in a week? the answer is feven, which is therefore called the Number of days in a week.

3. The Notes or Characters, by which Number is ordinarily expressed, are these; I one, 2 two, 3 three, 4 four, 5 five, 6 fixy 7 leven, 8 eight, 9 nine, o nothing.

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