NOTATION - .
or 8. In like manner a -P b 4- c denotes the number
arising by adding all the three numbers a, b, and c,
together.
Nate. A quantity which has no prefixed sign (as the
leading quantity a in the above examples) is always un
derstood to have the sign p before it; so that a signifies
the same as p a; and a P b, the same as -p a p b.
The Sign—,signifies that the quantity which it precedes
is to be subtracted. Thus a— b shews that the quan
tity represented by b is to be subtracted from that repre
sented by a, and expresseth the difference of a and b;
so that, if a was 5, and b 3, then would a — b be 5-*—3,
or 2. In like manner a -\-b — c — d represents the
quantity which arises by taking the numbers c and d
from the sum of the other two numbers a and b ; as if
a was 7, b 6, c 5, and d 3, then would a -p b — c — d
be 7 4-6 — 5 — 3, or 5.
The Notes P and — are usually expressed by the
words plus (or more) and- minus (or less). Thus, wo
read, a + b, a plus b; and a — b, a minus b.
Moreover, those quantities to which the sign -p- is
prefixed are called positive (or affirmative); and those to
which the sign — is prefixed, negative.
The Sign x , signifies that the quantities between ichich
it sta72ds are to be multiplied together. Thus a x b denotes
that the quantity a is to be multiplied by the quantity
and expresses the product of the quantities so multi
plied; and a x b x c expresses the product arising by
multiplying the quantities a, b, and c, continually to
gether: thus, likewise, afi x c denotes the product of
product which arises by multiplying the three com
pound quantities a -p b + c, a — b p c, and ape con
tinually together ; so that, if a was 5, b 4, and c 3, then
a + c be 12 x
But when quantities denoted by single letters are to
be multiplied together, the Sign x is generally omit
ted, or only understood; and so ab is made to signify
file- same as a x 6; and abc, the same as a x b x ct