Explanation
For the application of the Tables the follow"
ing remarks must be premised:
1. The figures heading the Tables
23|3MJ|5J !i lJ6J|7l|8i|9J
indicate
in Multiplications — the number of the Multiplicator,
in Divisions — the number of the Quotient.
3. The figures in the middle column, which
successively run on from 1, 3, 3 and so forth,
represent
in Multiplications — the Multiplicand,
in Divisions — the Divisor.
3. The figures in the columns on either side
of the middle column are the Products which re-
sult from the multiplication of the numbers in
the middle column by those at the head of the
corresponding column, as indicated under 1, viz:
by
by
by
by
by
by
by
by
2
3
4
5
6
7
8
9
20
30
40
50
60
70
80
90
200
300
400
500
600
700
800
900
2000
3000
4000
5000
and so
6000
I on,
7000
8000
9000
according to the number of ciphers added.
Multiplication.
First illustration. 999x3.
Look in the middle column for the
Multiplicand 999
at the head of the Table for the Multi
plicator 2
and you will find in the column assigned
to the Multiplicator 2, in the line ot the
Multiplicam! 999, the Product . , , . 1998.
Second illustration.
999 999 999
X 20 X 200 X 3000
= 19,980 — 199,800 = 1,998,000.
Iu multiplying the same number 999, not
by 3 but by 30, one cipher is to be added to the
Product of 1998, found above; in multiplying the
number by 300, two ciphers are to be added, and
so on; in short, the figures ¿1 placed at the side
of the Multiplicator, in the heads of the Tables,
indicate that in the multiplications by ten, hun
dred, thousand, etc., a corresponding number of
ciphers must be added to the Product.
Third illustration. 9999x533.
Looking for the Multiplicand 9999 in the
middle column of the Tables we find in the same
line the Products of the multiplication by 533,
and write them down in the following manner:
[ 500 =4,999,500
9999 X "I 20= 199,980
( 3= 19,998
9999 X 533 = 5,319,478
or in another form:
9999 9999
X 533 X 533
19998
19998
49995
49995
19998
19998
5319478 5319478
