Q A ______
PART I.
A KEY
WALTON'S TABLE
PRACTICE IN THE FUNDAMENTAL OPERATIONS
ABITHMETIC.
G. A. WALTON,
FKINCirA%^^^^^tt|^|BAM3IAR S'^IIOOL, LAWRENCE) MASS.
UC-NRLF
BOSTON:
^ BRKWER AND TILE ST ON.
%\ \
LIBRARY
OF THE
University of California.
Received (^/^c^^iy^ • t^Qn •
Accession No.^ 9*^"^^ • Class No,
y^'Mf
Digitized by the Internet Archive
in 2007 with funding from
IVIicrosoft Corp.G''^+''^"
http://www.archive.org/details/dictationexercisOOwaltrich
DICTATION EXERCISES.
PART 1.
A KEY
TO
WALTON'S TABLE
FOR
PRACTICE IN THE FUNDAMENTAL OPERATIONS
OP
ARITHMETIC.
BT
G. A. WALTON,
PRINCIPAL OF OLr/ER GRAMMAR SCHOOL, LAWRENCE, MASS.
y^ n-m •vrsy*. *^ '
[TJS'IVl
T^ ^-^ * m *^'
CJJt
BOSTON:
~^Nl
Entered, according to Act of Congress, in the year 1864, by
G. A. WALTON,
In the Clerk's Office of the District Court of the District of Massachusftts.
6 / S' i/.'^
ELECTROTYPED AT THE
BOSTON STEREOTYPE FOUNDRY,
4 SPRING LANE.
[UiriVBE^ITYj
The ready accountant obtains the total of a column of
figures at a glance, apparently with as much ease as a
good reader grasps the ideas of a sentence. Rapidity and
accuracy characterize all his arithmetical operations. How
is this efficiency acquired ? Evidently by practice. Is it
desirable, and is it possible, for the scholar to acquire this
mastery over the elementary combinations in numbers ?
Most assuredly it is desirable ; for these combinations arc
the foundation of all operations in arithmetic : few persons
in practical life ever go beyond their simplest applica-
tions ; and they are peculijxrly adapted to interest and
develop the mind of the child. And no one can doubt
that a child, even, can become highly efficient in combin-
ing simple numbers, when he reflects that in Addition
less than 07ie hundred different combinations of two fig-
ures each ever occur, and that these are the key to all
arithmetical operations.
And yet there is a radical deficiency with School chil-
dren in the fundamental operations in arithmetic, which
is the fruitful source of many of the numerous errors in
the advanced applications of the science. This deficiency
is universal, — exhibiting itself in all grades of the Gram-
mar and High Schools, as well as in the Primary and
Common Schools.
What is the remedy? Simply practice! To facilitate
this practice, this Key and the accompanying Card, Wal-
ton's Table for Practice in the Fundamental
Operations of Arithmetic, have been prepared, and
are now submitted to the test of teachers generally, in
the confident hope that they will prove as valuable an
aid to them as they have to
The Author.
(3)
COIVTENTS.
Page
On use of Table 5
Advantages of Table, . . ...,,, 6
To USE Table Mentally, ..«•.•• 6
Numeration, • 7
Addition, ...,,,•...8
Subtraction, ..alS
Multiplication, 26
Division, 37
Miscellaneous, , 48
(4)
'v'
ftJIIVEI.
oir
f^iroii
ON IHE USE OF THE TABLE AND KEY.
i^' See ♦* Written Arithmetic," pages 22 and 336 ; also, Walton's
♦« Table for Practice in the Fundamental Operations of Arithmetic."
The Table consists of twenty-one columns of figures,
numbered from right to left, in twenty-five lines, against
which are placed twenty-five letters of the alphabet. By
its use all possible combinations of numbers may be re-
jpeated many times. The Table is designed for the pupil.
The Key contains above two thousand questions upon
the Table, with their answers, arranged in series of from
ten to twenty-five examples in the fundamental opera-
tions. These are prepared for the teacher, to be used as
DICTATION EXERCISES.
Illustration 1. Let all the pupils add column 1, 2, or
3, etc., or a part of column 1, 2, or 3, etc.
Illustration 2. Let the members of a class number
themselves from one to twenty-one ; then let each add
the column corresponding to his number. Where lines
are assigned, as in Addition, Exercise 10, the members
letter themselves from A to Y.
Illustration 3. Let two or more columns, or parts of
columns, be added in the same manner.
It is unnecessary to multiply illustrations. The Key
contains a great variety of examples in Addition, from
the addition of a single column of ten figures to ten col-
umns of twenty-five figures ; the examples in Subtraction,
Multiplication, and Division, are equally varied.
a * F (5)
6 ON THE USE OF THE TABLE AND KEY.
The advantages possessed by the Key and Table over
the ordinary methods of dictating examples are, —
1st. Having the card, the pupil is enabled to perform
an example without writing down the figures — an obvi-
ous saving of time.
2d. The teacher has within a small compass an almost
inexhaustible store of examples, with their answers.
3d. And, most important of all, a separate example
can be assigned to each member of a class as readily as by
tlie ordinary method a single example could be assigned
to the whole.
MENTAL EXERCISES UPON THE TABLE.
Illustration 1. Let the pupils add the digits in col-
umns 1 and 2, right hand, in line A ; thus, 8 + 4 = 12.
in line B ; thus, 3 -f- 7 = 10.
etc. etc.
Illustration 2. Let them find the difierence between
the same in line A ; thus, 8 — 4 = 4.
in line B ; thus, 7 — 3 = 4.
etc. etc.
Let the product be obtained, and the quotient^ in the
same manner. Employ other columns, or lines, for the
same purpose.
The teacher may vary these exercises indefinitely.
SUGGESTION.
"In most of the exercises upon the Table, it will be an
advantage to use paper or the j^f^per slate^ placing it upon
the Table directly under the figures to be operated upon.
DICTATION EXERCISES.
NUMERATION.
1^=" See Table, or <' Written Arithmetic," pages 22 and 336.
Exercise 1.
Leginning with line A, let the pupils read in order the first fou>
figures at the right as thousands, hundreds, tens, and units. Thus : —
First pupil, ** 7,184."
Second pui^il, *♦ 5,337," etc.
Ex. 2.
Let first pupil take line B, second pupil line C, etc., and read as
above the first six figures at the right. Thus : —
First pupil, '< 995,337."
Second pupil, "872,692," etc.
Ex.
3.
Ex.
4.
Ex.
5.
Ex.
6.
Ex.
7.
Ex.
8.
Ex.
9.
Ex.
10.
3. Commencing with C, read as above the first 7 figures.
D,
E,
F,
G,
H,
I,
J,
10
12
13
14
17
19
21
Ex. 11.
First pupil read first period in line A.
Second pupil read second period in line B.
Third pupil read third period in line C, etc.
(7)
8 DICTATION EXEKCISE8.
ADDITION.
fl®=- See Table, or " Written Arithmetic," pages 22 and 336. *
11^^ In the following exercises, when an example embraces several
eolumns, they are to be considered as units, tens, etc., the units occu-
pying the right, as in ordinary numbers.
Thus, in Exercise 3, Example 1, the pupil is to find the siun of 84,
37, 92, etc. ; in example 2, of 18, 33, 69, etc.
Column.
Ans
1
69
2
61
3
51
4
49
5
52
6
58
7
75
Exercise 1.
ADD FROM A TO L.*
Column. Ans.
8 49
9 75
10 58
11 43
12 56
13 65
14 53
column.
15
Alls
59
16
61
17
55
18
65
19
79
20
50
21
84
Column.
Ans.
1
53
2
65
3
69
4
59
5
75
6
58
7
70
Exercise 2.
ADD FROM M TO Y.*
Column. Ans.
9
10
11
12
13
14
70
64
62
80
61
47
63
Column.
15
16
17
18
19
20
21
Ans.
66
73
66
63
63
56
66
Exercise 3.
Columns.
land 2
2 " 3
3
4
5
6
4
5
6
7
Ans.
521
378
413
308
447
512
7 " 8 477 114
ADD FROM A TO H.*
Columns. Ans.
8 and 9
9 «
10 «
11 " 12 388
12 « 13 426
13 " 14 379
583
10 364
11 311
15 414
* Inclusive.
Columns. Ans.
15 and 16 568
16 «
17 "
' 19 582
' 20 404
' 21 565
17 473
18 462
18
19
20
ADDITION.
Exercise 4.
ADD FROM A
TO G.*
Oclumns.
Ans.
Columns.
Ans.
Columns.
Ans.
1 to3*
2828
8 to 10
3389
15 to 17
4596
2-4
3879
9-11
2435
16 - 18
4156
8-5
2684
10 - 12
3039
17 - 19
5111
4 - G
3666
11 - 13
3801
18 - 20
3907
5-7
4463
12 -14
3378
19 - 21
4787
6-8
4344
13 - 15
3935
7-9
' 4931
14 - 16
4990
Exercise 5.
ADD FROM M
TO Y.*
Columns.
Ans.
Columns.
Ans.
Columns.
Ans.
1,2
703
8, 9
710
15,16
796
2,3
755
9, 10
684
16,17
733
3,4
659
10, 11
862
17,18
696
4,5
809
11,12
690
18,19
693
5,6
655
12, 13
531
19,20
623
6,7
758
13,14
677
20,21
716
7,8
770
14,15
723
Exercise 6.
ADD FROM A
TO Y.*
Cotamn.
Z Ans.
Column.
Ans.
Column.
Ans.
1
122
8
119
15
125
2
126
9
139
16
134
8
120
10
120
17
121
4
108
11
123
18
128
5
■ 127
12
117
19
142
C
116
13
112
20
106
7
145
14
116
1 21
150
Columns. Ans.
1 to 7* 27512689
2-8 17751267
3-9 32775124
4-10 24277511
5 - 11 19427749
Exercise 7.
ADD FROM A TO D.*
Columns. Ans.
6 to 12 23942778
7-13 25894275
8-14 21539425
9-15 20153941
10 - 16 27015891
* Inclusive.
Columns. Ans.
11 to 17 23701537
12 - 18 23370152
13 - 19 32337013
14 - 20 24233699
15 - 21 29428368
10
DICTATION EXERCISES.
Exercise 8.
ADD FROM
A TO K.*
Columns.
Ans.
Columns.
Ans.
Columns.
Ans.
1 to3*
5362
8 to 10
5647
15 to 17
5853
2-4
5030
9-11
4760'
16 - 18
6680
3-5
5197
10 - 12
5669
17 - 19
7762
4-6
6015
11 - 13
6162
18 - 20
5571
5-7
7497
12 - 14
• 5312
19 - 21
8251
6-8
5445
13 - 15
5826
7-9
7539
14 - 16
6577
Exercise 9.
ADD FUOM
A TO M.*
Columns.
Ans.
Columns.
Ans.
Columns.
Ans.
1 to3*
6400
8 to 10
7383
15 to 17
6361
2-4
6933
9-11
5833
16 - 18
7330
3-5
6087
10 - 12
6275
17 - 19
9126
4-6
6903
11 - 13
7921
18 - 20
6307
5-7
9085
12 - 14
6487
19 - 21
9824
6-8
6203
13 - 15
6743
7-9
8914
14 - 16
7667
Exercise 10.
ADD FROM I TO 21.*
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
Lines.
ABC
BCD
C D E
D E F
E F G
F G H
G H
I
J
K
L
I
J
K
L
M
H
I
J
K
L M N
M N O
NOP
O P Q
2,572,673,479,086,409,185,213
1,954,887,989,406,362,195,505
1,203,066,961,197,061,636,376
1,412,086,942,845,830,980,040
1,848,822,922,649,657,156,139
2,612,372,31 1,306,028,562,924
2,651,848,091,549,290,818,456
2,798,654,225,314,403,489,328
2,549,008,648,759,663,508,541
2,349,508,987,614,540,391,070
2,241,522,585,025,582,751,244
1,718,519,069,767,592,000,622
1,215,276,794,223,519,843,495
569,656,528,320,245,799,814
1,366,317,931,454,210,564,930
* Inclusive.
ADDITION.
11
Lines. Ans.
16. P, Q, R. 1,036,850,361,475,351,269,938
17. Q, R, S. 2,471,507,700,708,582,175,473
18. R, S, T. 1,853,561,670,308,917,783,400
19. S, T, U. 1,882,014,626,699,822,116,088
20. T, U, V. 1,917,174,573,588,380,107,432
21. U, V, W. 1,702,415,867,410,626,520,780
22. V, W, X. 1,751,134,075,996,025,909,971
23. W,X, Y. 1,426,482,233,164,118,999,263
Columns.
1 to 4*
2-5
3-6
4-7
5 - 8
6-9
Ans."
54779
57471
63741
81369
57132
80708
Exercise 11.
ADD FROM A TO L.*
Columns.
7 to 10
8-11
9-12
10 - 13
11 - 14
12 - 15
Ans.
66065
49599
60955
71088
60103
65006
Columns.
13 to 16
14 - 17
15 - 18
16 - 19
17 - 20
18 - 21
Ans.
67495 .
61743
71169
86111
58605
89855
Columns.
1,2
2, 3
3,4
4, 5
5, 6
C, 7
7,8
Ans.
1382
1326
1200
1378
1287
1566
1335
Exercise 12.
ADD FROM A TO Y.*
Com
mns.
Ans.
Columns.
Ans.
8,
9
1509
15, 16
1465
9,
10
1339
16, 17
1344
10,
11
1350
17, 18
1401
11,
12
1293
18, 19
1548
12,
13
1237
19, 20
1202
13,
14,
14
15
1272
1366
20, 21
1606
Columns.
1 to 3*
2-4
3-5
4-6
5-7
6-8
7-9
Ans.
8914
7584
8850
8577
10751
8467
10339
Exercise 13.
ADD FROM A TO Q.*
Columns.
8 to 10
9-11
10 - 12
11 - 13
12 - 14
13 - 15
14 - 16
Ans.
8824
8975
7888
9281
9320
8825
11274
Columns.
15 to 17
16 - 18
17 - 19
18 - 20
19 - 21
Ans.
9219
9514
11241
8416
11333
* Inclusive.
12
DICTATION EXERCISES.
Exercise 14.
ADD FROM A TO E.*
Columns.
Ans.
Columns. Ans.
1 to 11 ^
' 210,852,948,897
7 to 17 304,871,610,850
2-12
261,085,294,887
8-18 330,487,161,082
3-13
316,108,529,486
9-19 303,048,716,106
4-14
271,610,852,947
10 - 20 296,304,871,607
5-15
287,161,085,292
11 - 21 309,630,487,158
6-16
348,716,108,527
Exercise 15.
ADD mOM A TO H.*
Columns.
Ans.
Columns. » Ans.
Ito 7*
51,511,821
9 to 15 41,829,164
2-8
48,151,178
10 - 16 57,182,911
3-9
58,815,113
11 - 17 47,718,288
4-10
36,881,508
12 - 18 46,771,826
5-11
31,688,147
13-19 58,677,179
6-12
39,168,812
14 - 20 40,867,714
7-13
42,916,877
15 - 21 57,086,768
8-14
38,291,683
Exercise 16.
ADD mOM A TO T.*
Columns.
Ans.
Columns. Ans.
Columns. Ans.
lto3*
10314
8 to 10 10714
15 to 17 10835
2-4
8922
9-11 11063
16 - 18 11074
3-5
10682
10 - 12 10195
17-1^ 12596
4-6
10359
11 - 13 9910
18 - 20 9950
5-7
12528
12 - 14 10081
19 - 21 13185
6-8
9643
13 - 15 10499
7-9
12255
14 - 16 12441
Exercise 17.
ADD FROM A TO 0.*
Columns.
Ans.
Columns. Ans.
Columns. Ans.
lto4*
68274
7 to 10 79584
13 to 16 94288
2-5
71820
8-11 71949
14 _ 17 79421
3-6
72174
9-12 73189
15 - 18 83935
4-7
101211
10 - 13 85310
16 - 19 101387
5-8
69115
11 - 14 79524
17 - 20 70130
6-9
95905
12 - 15 72946
18 - 21 102006
*Incl
asive.
ADDITION.
13
Exercise 18.
ADD PROM A TO W.*
Colamns.
Ans.
Columns.
Ans.
Columns.
Ans.
lto3*
12103
8 to 10
12775
15 to 17
11992
2 -
4
10999
9
~ 11
12167
16 - 18
12488
3 -
5
12888
10
- 12
11604
17 - 19
14836
4 -
6
11878
11
- 13
11649
18 - 20
10973
5 -
7
14178
12
- 14
11754
19 - 21
14886
6 -
8
11906
13
- 15
12365
7 -
9
13880
14
- 16
14026
•
Exercise 19.
ADD FROM A TO Y.*
Columns.
Ans.
Columns.
Ans.
Columns.
Ans.
1 to3*
13382
8 to 10
13509
15 to 17
13565
2 -
4
12126
9
- 11
13639
16 - 18
14144
3 -
5
13900
10
- 12
13050
17 - 19
15601
4 -
6
12978
11
- 13
12493
18 - 20
12148
6 -
7
15787
12
- 14
12837
19 - 21
16202
6 -
8
13466
13
- 15
13772
7 -
9
15285
14
- 16
14766
Exercise 20.
Add-
Lines.
Ans.
1.
Ato E
3,096,304,871,610,852,948,897
2.
B - F
2,997,311,395,944,324,848,069
3.
C - G
2,897,922,027,630,143,356,307
4.
D- H
3,136,003,703,830,472,326,608
5.
E - I
3,694,271,498,087,253,471,020
6.
F- J
4,493,509,291,747,485,209,259
7.
G- K
4,272,925,409,744,304,855,109
8.
H- L
4,194,957,563,052,136,705,951
9.
10.
I - M
J - N
4,122,659,566,367,030,397,579
3,339,596,387,962,606,037,275
11.
K-
2,611,580,131,961,253,060,118
12.
13.
14.
L - P
M- Q
N - R
2,143,307,445,927,621,688,852
2,356,405,331,802,276,211,135
2,306,907,907,511,021,578,812
15.
- S
2,890,296,076,868,611,863,703
h
* Inclusive,
14
DICTATION EXEHCISES.
Lines.
16.
17.
18.
19.
20.
21.
P toT
Q - U
R - V
S - W
T - X
U - Y
2,904,600,213,887,074,151,040
3,619,266,005,890,507,895,086
3,447,152,719,002,781,406,205
2,760,255,719,822,949,401,891
2,898,892,381,178,041,630,184
3,020,073,275,857,982,622,068
Columns.
1 to 4*
2-5
3-6
4-7
5-8
6-9
Exercise 21.
ADD FROM A TO U.*
Ans.
94900
110480
106037
134594
106451
127635
Columns.
7 to 10
8-11
9-12
10 - 13
11 - 14
12 - 15
Ans.
114754
119463
104937
103482
108338
112823
Columns.
13 to 16
14 - 17
15 - 18
16 - 19
17 - 20
18 - 21
Ans.
129273
115918
112582
130248
102013
140191
Columns. Ans.
1 to 4* 102119
2-5
3-6
4-7
5-8
6-9
119201
109909
138981
112889
131278
EXEECISE 22.
ADD FROM A TO V.
Columns.
7 to 10
8-11
9-12
10 - 13
11 - 14
12 - 15
Ans.
121118
120099
109000
111888
115178
115507
Columns.
13 to 16
14 - 17
15 - 18
16 - 19
17 - 20
18 - 21
Ans.
135541
117544
116744
139664
108954
147885
Exercise 23.
ADD FROM A TO I.*
Columns. Ans. Columns.
1 to 10 * 41,530,983,709 7 to 16
2-11 38,153,098,366 8-17
3-12 44,815,309,831 9-18
4-13 43,481,530,979 10 - 19
5-14 41,348,153,094 11 - 20
6-15 45,134,815,306 12 - 21
♦ Inclusive.
58,513,481,526
50,851,348,147
56,085,134,810
66,608,513,475
43,660,851,344
66,366,085,131
ADDITION.
16
Exercise 24.
ADD FROM
A TO R.*
Columns.
Ans.
Columns.
Ans.
Ito 6*
9,488,212
9 to 14
9,567,940
2-7
11,248,818
10 - 15
9,656,784
3-8
9,424,872
11 - 16
11,465,670
4-9
10,942,479
12 - 17
9,446,558
5-10
9,494,241
13 - 18
10,244,648
6-11
9,949,416
14 - 19
, 11,824,456
7-12
8,794,988
15 - 20
9,882,487
8-13
9,679,483
16 - 21
12,138,235
EXERC
ISB 25.
ADD FROM
A TO N.*
Columns.
Ans.
Columns.
Ans.
Ito 8*
687,020,984
8 to 15
690,144,404
2-9
913,702,091
9-16
849,014,435
8-10
741,370,202
10 - 17
704,901,435
4-11
644,137,014
11 - 18
820,490,137
5-12
644,413,696
12 - 19
962,049,008
6-18
814,441,364
18 - 20
676,204,895
7-14
701,444,130
14 - 21
997,620,482
EXEEC
isE 26. .
V
ADD raOM
B TO Y.*
Columns.
Ans.
Columns.
Ans.
Ito 6*
1,874,198
10 to 14
1,259,063
2 -• 6
1,267,408
11 - 15
1,375,896
8-7
1,526,729
12 - 16
1,887,578
4-8
1,882,661
18 - 17
1,308,747
5-9
1,488,256
14 - 18
1,370,864
6-10
1,278,818
15 - 19
1,487,075
7-11
1,277,820
16 - 20
1,128,695
8-12
1,207,718
17 - 21
1,522,857
9-18
1,190,760
■ - "
16
DICTATION EXERCISES.
Exercise 27.
ADD FROl
A TO 8.*
Columns.
Ans.
Columns.
Ans.
Ito 7*
118,884,687
9 to 15
99,783,118
2-8
94,888,460
10 - 16
120,978,301
3-9
117,488,836
11 - 17
100,097,821
4-10
102,748,875
12 - 18
105,009,773
5-11
101,274,880
13 - 19
122,500,969
6-12
93,127,479
14 - 20
97,250,088
7-13
98,312,739
15 - 21
128,725,000
8-14
97,831,263
EXERC
iSE 28.
ADD FROM
G TO Y.*
Columns.
Ans.
Columns.
Ans.
1 to 10 *
103,007,826,129
7 to 16
107,363,132,998
2-11
113,300,782,604
8-17
99,736,313,289
3-12
101,330,078,251
9-18
103,973,631,320
4-13
93,133,007,815
10 - 19
111,397,363,122
5-14
96,313,300,774
11 - 20
83,139,736,303
6-15
103,631,380,067
12 - 21
122,313,973,620
EXEEC
iSE 29.
ADD FROM
A TO S.*
Columns.
Ans.
Columns.
Ans.
1 to 10 *
102,748,884,687
7 to 16
120,978,312,739
2-11
101,274,888,460
8-17
100,097,831,263
3-12
93,127,488,836
9 - 18
105,009,783,118
4-13
98,312,748,875
10 - 19
122,500,978,301
5 - 14
97,831,274,880
11 - 20
97,250,097,821
6-15
99,783,127,479
12 - 21
128,725,009,773
ExEEC
ISE 30.
CITE THE SUM
F THE DIGITS
IN
Lines.
Ans. Line
s. Ans.
Lines Ans.
1. A
111]
4. D
108
J. G 94
2. B
124
5. E
99
^
^. H 111
3. C
116
6. F
*Inc
95
lusive.
(
J. I 107
ADDITION.
17
10.
11.
12.
13.
14.
Lines.
J
K
L
M
N
Ans.
106
99
97
101
75
16.
17.
18.
19.
20.
Lines.
P
Q
R
S
T
Ans.
117
97
115
94
96
22.
23.
24.
25.
Lines. Ans.
V 102
w
X
Y
111
130
96
15. O 103 21. U 112
b*
18
DICTATION EXERCISES.
SUBTRA.CTION.
%
J8^ See Table, or " Written Arithmetic,"
pages 22 and 336.
Exercise 1.
Subtract 29385 from 1 to 6 *
in each of the following lines.
Lines.
Ans.
Lines.
Ans.
Lines.
Ans.
1.
A
287799
10.
J
145062
19.
s
367090
2.
B
965952
11.
K
832821
20.
T
455242
3.
C
843307
12.
L
325032
21.
U
206201
4.
D
298091
13.
M
505236
22.
V
357834
5.
E
406823
14.
N
82199
23.
w
868599
6.
F
186971
15.
O
167905
24.
X
595383
7.
G
474190
16.
P
461555
25.
Y
447126
8.
H
813608
17.
Q
847315
9.
I
442503
18.
R
872913
Exercise 2.
Take 58762 from 16 to 21
* in each of the following
D*
Lines.
Ans.
Lines.
Ans.
Lines.
Ans.
1.
A
928687
10.
J
894443
19.
s
675494
2.
B
847026
11.
K
609109
20.
T
264821
S.
C
620673
12.
L
669669
21.
U
765412
4.
D
310901
13.
M
786457
22.
V
710654
5.
E
95205
14.
N
86106
23.
w
50062
G.
F
829693
15.
166427
24.
X
814130
7.
G
747637
16.
P
140836
25.
Y
386002
8.
H
858755
17.
Q
882767
9.
I
869169
18.
R
736959
Exercise 3.
Subtract 1
to 8 * in the lov
vex from 1 to 9 *
in the
Tipper of the fol-
lowing
J lines.
Lines.
Ans.
Lines.
Ans.
1.
A B
839,321,847
5. E I
488
,219,852
2.
B C
858,122,645
6. F G
1
r
292
,712,781
o
C D
549,545,
216
7. G I
I
647,660,582
4.
B.E
792,891,268
8. II I
897,371,105
* Incl
usive.
9.
10.
11.
12.
13.
14.
15.
16.
Lines.
I J
J K
KL
L M
M N
N O
O P
P Q
SUBTRACTION.
Alls.
642,297,441
800,312,241
180,507,789
476,819,796
833,423,037
161,914,294
378,706,350
494,614,240
17.
18.
19.
20.
21.
22.
23.
24.
Li$cs.
Q R
R S
S T
T U
U V
V W
WX
X Y
OJO
; Alls.
85,974,402
588,505,823
789,911,848
417,249,041
434,848,367
301,489,235
664,273,216
841,148,257
Exercise 4.
Subtract 9 to 20 * in the lower of the following lines from 9 to 21 ^
Lines.
1. A B
2.B C
3. C D
4.D E
5. E F
6.F G
7. G H
8. HI
9. 1 J
10. J K
11. K L
12. L M
in the
Ans.
9,816,601,415,621
8,263,533,157,532
6,097,720,323,648
3,156,956,800,913
655,123,058,952
8,820,560,342,097
7,888,822,712,387
8,895,859,143,083
8,747,256,806,878
8,853,339,815,586
6,394,399,988,987
6,832,124,212,317
upper.
Lines.
13. M N
N O
14.
15. O
16.
P
P Q
17. Q R
18. R S
19. S
20. T
21. U
22. V W
23. WX
24. X Y
T
U
V
8,003,510,960,276
1,196,787,582,848
1,255,904,115,909
1,580,694,269,904
8,458,077,313,976
7,614,655,023,787
7,106,727,906,233
2,994,087,566,071
7,547,585,058,811
7,605,914,436,896
359,318,418,439
8,281,285,572,984
Exercise 5.
Take 1 to 13 * in each of the following
Lines. Ans.
72,421,742,950,157 10.
73,983,782,272,004 11.
69,737,040,394,649 12.
72,101,789,939,865 13.
72,193,082,831,133 14.
78,088,271,050,985 15.
72,297,963,763,766 16.
73,536,711,424,348 17.
77,845,008,795,453 18,
lines from 78,409,658,267,341.
1.
A
2.
B
3.
C
4.
D
5.
E
C.
F
7.
G
8.
H
9.
I
Liftes. Ans.
J 68,532,851,092,894
K 70,091,451,405,135
L 68,990,131,912,924
M 70,221,808,732,720
N 76,249,442,155,757
O 74,534,204,070,051
P 76,125,082,776,401
Q 73,115,477,390,641
R 74,513,063,365,043
* Inclusiva.
20
DICTATION EXERCISES.
Line. Ans.
19. S 76,891,851,870,866
20. T 77,515,141,782,714
21. U 74,122,159,031,755
22. V 70,003,293,880,122
Line. Ans.
23. W 73,692,895,369,357
24. X 75,536,759,642,573
25. Y 72,835,200,790,830
Exercise 6.
Take 9 to 21 * in each of the following from 78,409,658,267,341.
Line. Ans. Lino.
1. A 68,535,168,007,462 14. N
2. B 69,351,769,423,083 15.
3. C 71,615,302,580,615 16. P
4. D 74,713,022,904,263 17. Q
5. E 76,869,979,705,176 18. R
6. F 69,525,102,764,128 19. S
7. G 70,345,663,106,225 20. T
8. H 69,234,485,818,612 21. U
9. 1 69,130,344,961,695 22. V
10. J 68,877,601,768,573 23. W
11. K 71,730,941,584,159 24. X
12. L 71,125,341,573,146 25. Y
13. M 69,957,465,785,463
An 3.
76,960,976,745,739
76,157,764,328,587
76,413,668,444,496
68,994,362,714,400
70,452,440,028,376
71,067,095,052,163
75,173,822,958,396
70,167,910,524,467
70,715,495,583,278
77,321,410,020,174
69,680,728,438,613
73,962,014,011,597
EXEECISE 7.
Take 78,409,658,267,341 from 1 to 15* in each of the following lines.
Line. Ans.
Line. Ans.
1. B 806,016,217,727,996
2. C 490,262,959,605,351
3. D 457,898,210,060,135
4. E 777,806,917,168,867
5. F 471,911,728,949,015
6. G 437,702,036,236,234
7. H 166,463,288,575,652
8. 1 252,154,991,204,547
9. J 571,467,148,907,106
10. K 589,908,548,594,865
11. L 591,009,868,087,076
12. M 169,778,191,267,280
13. N
14. O
15. P
16. Q
17. R
18. S
19. T
20. U
21. V
22. W
23.x
24. Y
73,750,557,844,243
315,465,795,929,949
903,874,917,223,599
476,884,522,609,359
745,486,936,634,957
243,108,148,129,134
452.484,858,217,286
695,877,840,968,245
189,996,706,119,878
746,307,104,630,643
904,463,240,357,427
347,164,799,209,170
* Inclusive.
SUBTRACTION.
21
Exercise 8.
Take 78,409,658,207,341 from 7 to
Line. Ans.
1. A 909,039,367,720,574
2. B 827,379,226,158,534
3. C 601,025,910,405,276
4. D 291,253,878,040,527
5. E 75,558,197,949,234
6. F 810,045,892,054,046
7. G 727,989,857,844,353
8. H 839,107,586,605,605
9. 1 849,521,672,297,308
10. J 874,795,991,609,466
11. K 589,462,010,050,865
12. L 650,022,011,152,185
13. M 766,809,589,920,508
21 * in each of the following lines.
Line. Ans.
14. N 66,458,493,892,875
15. 146,779,735,608,113
16. P 121,189,324,017,234
17. Q 863,119,897,026,839
18. R 717,312,165,629,253
19. S 655,846,663,250,465
20. T 245,173,872,627,175
21. U 745,765,116,020,158
22. V 691,006,610,139,023
23. W 30,415,166,449,421
24. X 794,483,324,605,557
25. Y a66,354,767,307,116
Exercise 9.
Take 1 to 16 * in Y from 1 to 17 in
Line. Ans.
l.^A 44,600,413,457,840,673
2. B 84,458,851,418,518,826
3. C 31,143,098,160,396,181
4.D 59,110,733,410,850,965
5.E 63,430,642,117,959,697
6. F 51,124,746,929,739,845
7. G 95,090,537,237,027,064
8. H 12,819,298,489,366,482
9. 1 26,904,990,191,995,377
10. J 1,224,302,349,697,936
11. K 67,242,743,749,385,695
12. L" 27,243,845,068,877,906
13. M 14,822,613,392,058,110
Line. Ans.
14. N 63,726,585,758,635,073
15.0 84,968,300,996,720,779
16. P 94,556,710,118,014,429
17. Q 25,129,719,723,400,189
18. R 17,398,322,137,425,787
19. S 51,895,943,348,91^,964
20. T 79,105,320,059,008,116
21. U 70,348,713,041,759,075
22. V 11,842,831,906,910,708
23. W20,399,142,305,421,473
24. X 88,557,298,441,148,257
25. Y 60,000,000,000,000,000
Exercise 10.
Take 1 to 20 * in A from 1 to 21 * in
Line. Ans.
1. B 818,339,858,437,960,678,153
2. C 591,986,542,684,702,555,508
* Inclusive.
22 DICTATION EXERCISES.
Lino. Ans.
3. D 282,214,510,319,953,010,292
4. E 66,518,830,228,660,119,024
5. F ' 801,006,524,333,471,899,172
6. G 718,950,490,123,779,186,391
7. H 830,068,218,885,031,525,809
8. I 840,482,304,576,734,154,704
9. J 865,756,623,888,891,857,263
10. K 580,422,642,330,291,545,022
11. L 640,982,643,431,611,037,233
12. M 757,770,222,199,934,217,437
13. N 57,419,126,172,300,794,400
14. O 137,740,367,887,538,880,106
15. P 112,149,956,296,660,173,756
16. Q 854,080,529,306,265,559,516
17. R 708,272,797,908,679,585,114
18. S * 646,807,295,529,891,079,291
19. T 236,134,504,906,601,167,443
20. U 736,725,748,299,583,918,402
21. V 681,967,242,418,449,070,035
22. W 21,375,798,728,847,580,800
23. X 785,443,956,884,983,307,584
24. Y 357,315,399,586,542,159,327
Exercise 11.
Take 1 to 20 * in B from 1 to 21 * in
Line. Ans.
1. A 981,660,141,562,039,321,847
2. C 673,646,684,246,741,877,355
3. D 863,874,651,881,992,332,139
4. E 148,178,971,790,699,440,871
5. F 882,666,665,895,511,221,019
6. G 800,610,631,685,818,508,238
7. H 911,728,360,447,070,847,656
8. I- 922,142,446,138,773,476,551
9. J 947,416,765,450,931,179,110
10. K 662,082,783,892,330,866,869
11. L 722,642,784,993,650,359,080
12. M 839,430,363,761,973,539,284
* Inclusive.
SUBTRACTION.
23
Line, Ans.
13. N 139,079,267,734,340,116,247
14. O 219,400,509,449,578,201,953
15. P 193,810,097,858,699,495,603
16. Q 935,740,670,868,304,881,363
17. R 789,932,939,470,718,906,961
18. S 728,467,437,091,930,401,138
19. T 317,794,646,468,640,489,290
20. U 818,385,889,861,623,240,249
21. V 763,627,383,980,488,301,882
22. W 103,035,940,290,886,902,647
23. X 867,104,098,447,022,629,431
24. Y 438,975,541,148,581,481,174
Exercise 12.
Prom A 4- B, 1 to
Lino. Ans.
1. C 9,741,173,439,829
2. D 10,105,922,985,045
3. E 10,197,215,876,313
4. F 10,092,404,096,165
5. G 10,302,096,808,946
6. H 9,540,844,469,528
7. I 9,849,141,840,633
8 J 9,536,984,138,074
9. K 10,095,584,450,315
10. L 9,994,264,958,104
11. M 10,225,941,777,900
12. N 10,253,575,200,937
13,* take 1 to 12* in
Line. Ans.
13. O 9,538,337,115,231
14. P 10,129,215,821,581
15. Q 10,119,610,435,821
16. R 9,517,196,410,223
17. S 9,895,984,916,046
18. T 0,519,274,827,894
19. U 10,126,292,076,935
20. V 10,007,426,925,302
21. W 9,697,028,414,537
22. X 9,540,892,687,753
23. Y 9,839,333,836,010
Exercise 13.
From A -f B, 8 to 21,* take 8 to 20* in
Ans. Line.
7.
1. C 181,380,234,174,117
2. D 182,357,437,410,592
3. E 183,927,005,419,721
4. F 180,478,236,009,240
5. G 188,683,839,430,209
6. II 187,572,066,554,084
* Inclusive
9.
10.
11.
12.
Ans.
I 186,530,657,984,914
J 184,003,226,053,698
K 182,536,024,209,558
L 186,480,624,099,426
M 184,801,866,222,504
N 184,830,075,825,357
24
DICTATION EXERCISES.
Lino. Ans.
13. O 186,804,851,653,833
14. P 179,363,892,812,921
15. Q 185,170,835,511,960
16. R 179,751,608,651,719
17. S 185,898,158,889,598
18 T 186,965,437,951,927
Line. Ans.
19. U 186,906,313,612,629
20. V 182,382,164,200,742
21. W 188,441,308,569,702
22. X 182,034,492,754,089
23. Y 184,847,348,483,933
Exercise 14.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
From B -f- C,
Lines.
C + D
D-l-E
E.
F
G + H
H
I
J +K
K
L
M
N
O
P
Q
R
S .
T
IT
W
F
G
L
M
N
O
P
Q
R
S
T
U
V
v + w
X
X+Y
1 to 17,* take 1 to 16 * of
Ans.
115,348,118,007,667,861
113,060,574,050,104,345
111,046,560,531,215,465
109,386,665,412,148,098
107,692,113,852,521,461
115,877,660,897,553,148
117,472,657,037,221,694
117,134,903,479,831,376
121,115,360,760,651,406
113,535,491,117,978,991
107,052,750,428,221,824
106,907,062,823,559,155
106,076,938,464,179,799
105,915,519,737,500,389
113,073,907,718,089,031
116,307,684,092,569,256
114,600,686,170,986,927
116,147,916,478,147,816
113,410,404,630,245,224
113,359,975,366,582,826
116,645,508,832,345,277
117,044,651,137,766,750
Exercise 15.
From A + B, 5 to 21,* subtract 5 to 20* of
Lines. Ans.
174,413,880,543,330,511
176,960,651,788,934,755
175,081,450,387,582,866
* Inclusive.
1.
CH
h D
2.
D-
- E
3.
E -
- F
SUBTBACTION.
25
4,
¥-]
-G
5.
G-
-H
6.
H-
L-I
7.
I -
-J-
8.
J -
-K
9.
K-
hl^
10.
L-
-M
11.
M-
-N
12.
N-
-0
13.
OH
-P
14.
P-
-Q
15.
Q-
-R
16.
R-
-S
17.
S -
-T
18.
T-
-U
19.
U-
-V
20.
V-
-W
21.
W-
-X
22.
X-
-Y
Ans.
179,838,284,398,070,959
186,932,114,942,914,996
184,778,933,497,619,499
181,210,092,997,233,466
177,216,059,221,877,727
179,693,457,267,605,809
181,958,699,280,641,542
180,315,051,006,572,566
182,318,036,437,812,100
176,844,953,425,376,162
175,210,937,283,503,494
175,598,653,122,301,553
176,325,976,499,939,001
183,539,805,800,146,843
184,547,960,523,177,559
179,964,686,771,992,769
181,499,081,729,066,403
181,152,010,282,412,979
177,558,050,196,643,521
26
DICTATION EXERCISES.
MULTIPLICATION,
je^ See Table, or " Written Arithmetic," pages 22 and 336.
ExEECISE 1
Multiply by 2,
from 1 to 10.*
Line.
Ang.
Line.
Ans.
1.
A
15,830,634,368
14.
N
432,223,168
2.
B
11,751,990,674
15.
10,908,394,580
3.
C
5,235,745,384
16.
P
9,150,981,880
4.
D
15,736,654,952
17.
Q
8,361,753,400
5,
E
13,150,872,416
18.
R
13,189,804,596
6.
F
2,774,432,712
19.
S
15,612,792,950
7.
G
3,389,007,150
20.
T
9,032,969,254
8.
H
5,89.3,685,986
21.
U
14,998,471,172
9.
I
9,298,943,776
22.
V
12,728,774,438
10.
J
13,614,348,894
23.
W
13,525,795,968
11.
K
16,413,724,412
24.
X
5,797,249,536
12.
L
19,052,708,834
25.
Y
8,914,953,022
13.
M
15,699,069,242
EXEEC
IS3S 2
Multiply by
4, 1 to 10.*
Line.
Ans.
Line.
Ans.
1.
A
31,661,268,736
14.
N
864,446,336
2.
B
23,503,981,348
15.
21,816,789,160
3.
C
10,471,490,768
16.
P
18,301,963,760
4.
D
31,473,309,904
17.
Q
16,723,506,800
5.
E
26,301,744,832
18.
R
26,379,609,192
6.
F
5,548,865,424
19.
S
31,225,585,900
7.
G
6,778,014,300
20.
T
18,065,938,508
8.
H
11,787,371,972
21.
U
29,996,942,344
9.
I
18,597,887,552
22.
V
25,457,548,876
10.
J
27,228,697,788
23.
w
27,051,591,936
11.
K
32,827,448,824
24.
X
11,594,499,072
12.
L
38,105,417,668
25.
Y
17,829,906,044
13.
M
31,398,138,484
*Incl
usivc.
MULTIPLICATION.
27
EXEECISE
3.
Multiply by
3, 11 to21.»
line.
Ans.
Line.
Ans.
1.
A
296,234,707,794
14.
N
43,460,445,648
2.
B
271,736,665,326
15.
67,556,818,161
3.
C
203,830,670,601
16.
p
59,879,694,684
4.
D
110,899,060,890
17.
Q
282,458,866,587
5.
E
46,190,356,863
18.
R
238,716,547,167
6.
F
266,536,665,096
19.
S
220,276,896,453
7.
G
241,919,854,833
20.
T
97,075,059,267
8.
H
275,255,173,461
21.
U
247,252,432,284
9.
I
278,379,399,168
22.
V
230,824,880,520
10.
J
285,961,694,961
23.
w
32,647,447,413
11.
K
200,361,500,493
24.
X
261,867,894,801
12.
L
218,529,500,823
25.
Y
133,429,327,671
13,
M
253,565,774,454
EXERC
ISE
4.
Multiply by
5, 11 to 21.*
Line.
Ans. *
Lino.
Ans.
1.
A
493,724,512,990
14.
N
72,434,076,080
2.
B
452,894,442,210
15.
O
112,594,696,935
3.
C
339,717,784,335
16.
P
99,799,491,140
4.
D
184,831,768,150
17.
Q
470,764,777,645
5.
E
76,983,928,105
18.
R
397,860,911,945
6.
F
444,227,775,160
19.
S
367,128,160,755
7.
G
403,199,758,055
20.
T
161,791,765,445
8.
H
458,758,622,435
21.
U
412,087,387,140
9.
I
463,965,665,280
22.
V
384,708,134,200
10.
J
476,602,824,935
23.
w
54,412,412,355
11.
K
333,935,834,155
24.
X
436,446,491,435
12.
L
■ 364,215,834,705
25.
Y
222,382,212,785
18.
M
422,609,624,090
EXEKC
ISE .
5.
Multiply by
6, 1 to 10.*
Line.
Ans.
Line.
^ Ans. '
1.
A
47,491,903,104
4.
D
47,209,964,856
2.
B
35;255,972,022
5.
E
39,452,617,248
3.
C
15,707,236,152
♦Incl
6.
usive.
P
8,323,298,136
28
DICTATION EXERCISES.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
Line.
G
H
I
J
K
L
M
N
O
P
Ans.
10,167,021,450
17,681,057,958
27,896,831,328
40,843,046,682
49,241,173,236
57,158,126,502
47,097,207,726
1,296,669,504
32,725,183,740
27,452,945,640
17.
18.
19.
20.
21.
22.
23.
24.
25.
Lln«
Q
R
S
T
U
V
W
X
Y
Ans.
25,085,260,200
39,569,413,788
46,838,378,850
27,098,907,762
44,995,413,516
38,186,323,314
40,577,387,904
17,391,748,608
26,744,859,066
Exercise 6.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
Line.
A
B
c
D
E
F
G
H
I
J
K
L
M
Multiply by
Ans.
63,322,537,472
47,007,962,696
20,942,981,536
62,946,619,808
52,603,489,664
11,097,730,848
13,556,028,600
23,574,743,944
37,195,775,104
54,457,395,576
65,654,897,648
76,210,835,336
62,796,276,968
8, 1 to 10.*
Line.
N
O
P
Q
R
S
T
U
V
w
X
Y
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
Ans.
1,728,892,672
43,633,578,320
36,603,927,520
33,447,013,600
52,759,218,384
62,451,171,800
36,131,877,016
59,993,884,688
50,915,097,752
54,103,183,872
23,188,998,144
35,659,812,088
1.
2.
3.
4.
5.
6.
7.
Line.
A
B
c
D
E
F
G
EXEECISE 7.
Multiply by 7, 11 to 21.*
Line.
S. H
Ans.
691,214,318,186
634,052,219,094
475,604,898,069
258,764,475,410
107,777,499,347
621,918,885,224
564479,661,277
9.
10.
11.
12.
13.
14.
I
J
K
L
M
N
Ans.
642,262,071,409
649,551,931,392
667,243,954,909
467,510,167,817
509,902,168,587
.591,653,473,726
101,407,706,512
* Inclusive.
MULTIPLICATION.
29
Lino.
Ans.
Line
Ans.
,15,
o
157,632,575,709
21.
U
576,922,341,996
16.
p
139,719,287,596
22.
V
538,591,387,880
17.
Q
659,070,688,703
23.
w
76,177,377,297
18.
R
557,005,276,723
24.
X
611,025,088,009
19.
S
513,979,425,057
25.
Y
811,335,097,899
20.
T
226,508,471,623
Exercise 8
Multiply by
9, H to 21.»
Line.
Ans.
LInv
Ans.
1.
A
888,704,123,382
14.
N
130,381,336,944
2.
B
815,209,995,978
15.
O
202,670,454,483
3.
c
611,492,011,803
16.
P
179,639,084,052
4.
D
332,697,182,670
17.
Q
847,376,599,761
5.
E
138,571,070,589
18.
R
716,149,641,501
G.
F
799,609,995,288
19.
S
660,830,689,359
7.
G
725,759,564,499
20.
T
291,225,177,801
8.
11
825,765,520,383
21.
U
741,757,296,852
9.
I
835,138,197,504
22.
V
692,474,641,560
10.
J
857,885,084,883
23.
w
97,942,342,239
11.
K
601,084,501,479
24.
X
785,603,684,583
12.
L
655,588,502,469
25.
Y
400,287,983,013
13.
M
760,697,323,362
EXERC
ISE 9
Multiply by 1
11, 10 to 2l.»
Line.
Ans. 1
Line.
Ans.
1.
A 10,861,939,285,857
14.
N
1,593,549,673,760
2,
B
9,963,677,728,675
15.
o
2,477,083,332,625
3.
C
7,473,791,255,392
16.
p
2,195,588,805,124
4.
D
4,066,298,899,377
17.
Q
10,356,825,108,234
5.
E
1,693,646,418,376
18.
R
8,752,940,062,856
6.
F
9,773,011,053,531
19.
S
8,076,819,536,687
7.
G
8,870,394,677,221
20.
T
3,559,418,839,834
8.
H 10,092,689,698,592
21.
U
9,065,922,517,157
9.
I
10,207,244,636,204
22.
V
8,463,578,952,466
10.
J
10,485,262,148,636
23.
W
1,197,073,071,876
11.
K
7,346,588,351,498
24.
X
9,601,822,811,592
12.
L
8,012,748,363,609
25.
Y
4,892,408,681,314
13.
M
9,297,411^730,057
• Incl
usive.
[
30
DICTATION? EXERCISES.
Exercise 10.
Multiply by
12, n to 21.«
•
Line.
Ans.
Line,
Ans.
1.
A
1,184,938,831,176
14.
N
173,841,782,592
2.
B
1,086,946,661,304
15.
O
270,227,272,644
3.
C
815,322,682,404
16.
P
239,518,778,736
4.
D
443,596,243,560
17.
Q
1,129,835,466,348
5.
E
184,761,427,452
18.
R
954,866,188,668
6.
F
1,066,146,660,384
19.
S
881,107,585,812
7.
G
967,679,419,332
20.
T
388,300,237,068
8.
H
1,101,020,693,844
21.
U
989,009,729,136
9.
I
1,113,517,596,672
22.
V
923,299,522,080
10.
J
1,143,846,779,844
23.
W
130,589,789,652
11.
K
801,446,001,972
24.
X
1,047,471,579,444
12.
L
874,118,003,292
25.
Y
533,717,310,684
13.
M
1,014,263,097,816
EXEEC
ISE
11.
Multiply by
13, 1 to 12.»
Line
Ans.
Lino.
Ana.
1.
A
12,842,899,123,392
14.
N
2,082,809,450,592
2.
B
5,536,387,939,381
15.
O
11,380,904,564,770
3.
C
8,744,032,344,996
16.
P
3,699,481,382,220
4.
D
4,002,288,257,188
17.
Q
3,824,351,397,100
5.
E
2,815,480,670,704
18.
R 11,655,733,729,874
6.
F
4,178,033,812,628
19.
S
6,731,483,154,175
7.
G
1,452,028,546,475
20.
T
11,628,714,300,151
8.
H
11,348,308,958,909
21.
U
3,737,490,062,618
9.
I
7,340,443,134,544
22.
V
5,282,737,033,847
10.
J
11,398,493,267,811
23.
w
9,317,917,673,792
11.
K
4,136,689,208,678
24.
X 11,347,682,121,984
12.
L
5,453,842,607,421
25.
Y
7,467,947,194,643
13.
M
2,442,043,950,073
Exercise 12.
Multiply by 31, 1 to 10.
Line. Ans.
1. A 245,374,832,704
2. B 182,155,855,447
* Inclusive.
3.
Line.
C
Ans.
81,154,053,452
4.
p
243,918,151,756
MULTn>LICATICK.
31
Line.
Ans.
Line.
Ans.
5.
E
203,838,522,448
16.
P
141,840,219,140
6.
F
43,003,707,036
17.
Q
129,607,177,700
7.
G
52,529,610,825
18.
R
204,441,971,238
8.
H
91,352,132,783
19.
S
241,998,290,725
9.
I
144,133,628,528
20.
T
140,011,028,487
10.
J
211,022,407,857
21.
U
232,476,303,166
11.
K
254,412,728,386
22.
V
197,296,003,789
12.
L
295,316,986,927
23.
W
209,649,837,504
13.
M
243,335,573,251
24.
X
89,857,367,808
14.
N
6,699,459,104
25.
Y
188,181,771,841
15.
169,080,115,990
ExEKC
ISE 13.
Multiply by
57, 1 to 10.»
Line.
Ans.
Lino.
Ans.
1.
A
451,173,079,488
14.
N
12,818,360,288
2.
B
834,931,734,209
15.
O
810,889,245,530
3.
C
149,218,743,444
16.
P
260,802,983,580
4.
D
448,494,666,132
17.
Q
238,309,971,900
5.
E
374,799,863,856
18.
R
375,909,430,986
C.
P
79,071,332,292
19.
S
444,964,599,075
7.
G
96,586,703,775
20.
T
257,439,623,739
8.
H
167,970,050,601
21.
U
427,456,428,402
9.
I
265,019,897,616
22.,
V
362,770,071,483
10.
J
388,008,943,479
23.
w
385,485,185,088
11.
K
467,791,145,742
24.
X
165,221,611,776
12.
L
543,002,201,769
25.
Y
254,076,161,127
13.
M
447,423,473,897
EXERC
ISE 14.
Multiply by
24, 11 to 21.*
Line.
Alls.
Line.
Ans.
1.
A
2,369,877,662,352
7.
G
1,935,858,888,664
2.
B
2,173,893,322,608
8.
H
2,202,041,387,688
3.
c
1,630,645,364,808
9.
I
2,227,035,193,344
4.
D
887,192,487,120
10.
J
2,287,693,559,688
5.
E
369,522,854,904
11.
K
1,602,892,003,944
C.
F
2,132,293,320,768
* Inc]
12.
usive.
L
1,748,286,006,584
DICTATION EXERCISES.
13.
Line.
M
Ans.
2,028,526,195,632
20.
Line.
T
Ans.
776,600,474,136
14.
N
347,683,565,184
21.
u
1,978,019,458,272
15.
O
540,454,545,288
22.
V
1,846,599,044,160
16.
P
479,037,557,472
23.
W
261,179,579,304
17.
Q
2,259,670,932,696
24.
X
2,094,943,158,888
18.
R
1,909,732,377,336
25.
Y
1,067,434,621,368
19.
S
1,762,215,171,624
Exercise 15.
Multiply by 68, 11 to 21.*
Line.
Ans.
Line.
Ans.
1.
A
6,714,653,376,664
14.
N
985,103,434,688
2.
B
6,159,364,414,056
15.
O
1,631,287,878,316
3.
C
4,620,161,866,956
16.
P
1,357,273,079,504
4.
D
2,513,712,046,840
17.
Q
6,402,400,975,972
5.
E
1,046,981,422,228
18.
R
5,410,908,402,452
6.
F
6,041,497,742,176
19.
S
1,992,942,986,268
7.
G
5,483,516,709,548
20.
T
2,200,368,010,052
8.
H
6,239,117,265,116
21.
U
5,604,388,465,104
9.
I
6,309,933,047,808
22.
V
5,232,030,625,120
10.
J
6,481,798,419,116
23.
W
740,008,808,028
11.
K
4,541,527,344,508
24.
X
5,935,672,283,516
12.
L
4,953,335,351,988
25.
Y
3,024,398,093,876
13.
M
5,747,490,887,624
EXEEC
ISE 16.
MiUtiply by
97, 1 to 10.*
Line.
Ans.
Line.
Ans.
1.
A
767,785,766,848
11.
K
796,065,633,982
2.
B
569,971,547,689
12.
L
924,056,378,449
3.
C
253,933,651,124
13.
M
761,404,858,237
4.
D
763,227,765,172
14.
N
20,962,823,648
5.
E
637,817,312,176
15.
O
529,057,137,130
6.
F
134,559,986,532
16.
P
443,822,621,180
7.
G
164,366,846,775
17.
Q
405,545,039,900
8.
H
285,843,770,321
18.
R
639,705,522,906
9.
I
450,998,773,136
19.
s
757,220,458,075
10.
J
660,295,921,359
* Inc
20.
lusive.
T
438,099,008,819
MULTlrLICATION.
33
Line.
Ans.
Line.
Ans.
21,
u
727,425,851,842
24.
X
281,166,602,490
22.
V
617,345,560,243
25.
Y
432,375,221,56?
23.
w
656,001,104,448
Exercise 17
Multiply by
238, 1 to 8.*
Lino.
Ans.
Line.
Ans.
1.
A
3,645,489,792
14.
N
8,834,556,992
2.
B
18,086,890,206
15.
o
12,898,955,020
S.
C
4,253,700,696
16.
p
17,966,843,720
4
D
16,261,939,288
17.
Q
19,248,654,600
5.
E
17,953,817,504
18.
R
22,586,746,924
6.
P
20,757,492,728
19.
S
1,522,361,050
7.
G
22,491,850,850
20.
T
3,923,341,226
8.
II
11,148,632,334
21.
U
23,618,069,468
9.
I
11,774,309,344
22.
V
15,324,158,122
10.
J
1,707,518,386
23.
w
14,969,720,192
11.
K
1,633,205,028
24.
X
23,472,694,784
12.
L
6,272,351,246
-25.
Y
13,679,409,618
13.
M
11,789,239,798
•
EXEEC]
[SE 18
.
Multiply by £
1645, 1 to 8.*
Line.
Ans.
Line.
Ans.
1.
A
147,734,239,680
14.
N
155,896,227,680
2.
B
732,975,025,365
15.
O
522,732,862,050
3.
C
172,382,114,340
16.
P
728,110,116,300
4.
D
659,018,506,020
17.
Q
780,055,771,500
5.
E
727,582,226,160
18.
R
915,332,664,210
6.
P
841,201,753,620
19.
S
61,694,001,375
7.
G
911,486,980,875
20.
T
158,994,227,415
8.
H
451,800,667,485
21.
U
957,127,226,970
9.
I
477,156,359,760
22.
V
621,014,727,255
10.
J
69,197,541,315
23.
w
606,651,055,680
11.
K
66,185,976,870
24.
X
951,235,887,360
12.
L
254,188,351,965
25.
Y
554,360,948,595
13.
M
477,761,419,545
*Incl
usive.
H'
34
DICTATION EXERCISES.
Exercise 19.
Multiply from 1
Line. Ans.
1. A 1,195,291,770,624
2. B 5,930,372,118,132
3. C 1,394,713,392,912
4. D 5,332,002,917,136
5. E 5,886,739,927,488
6. F 6,806,015,556,816
7. G 7,374,680,978,700
8. H 3,655,439,801,748
9. I 3,860,588,251,968
10. J 559,865,146,092
11. K 535,499,107,416
12. L 2,056,593,285,012
13. M 3,865,483,684,356
to 8 * by 78036.
Line. Ans.
14. N 1,257,283,569,024
15. O 4,229,339,722,440
16. P 5,891,010,993,840
17. Q 6,311,294,161,200
18. R 7,405,795,726,728
19. S 499,155,323,100
20. T 1,286,394,352,572
21. U 7,743,948,189,096
22. V 5,024,521,021,884
23. W 4,908,307,079,424
24. X 7,696,282,395,648
25. Y 4,485,237,012,396
Line.
1.
A
2.
B
3.
C
4.
D
5.
E
6.
F
7.
G
8.
H
9.
I
10.
J
11.
K
12.
L
13.
M
Exercise 20.
Multiply by 5000908 from 1
Ans.
26,590,748,003,072
29,982,128,765,996
39,370,608,404,336
41,644,941,348,208
27,185,976,076,864
36,088,332,451,248
22,521,964,246,100
34,221,178,437,644
47,368,040,474,304
35,878,749,397,876
34,317,260,883,048
31,777,854,810,636
47,681,762,435,868
Lino.
14.
N
15.
16.
P
17.
Q
18.
R
19.
S
20.
T
21.
U
22.
V
23.
w
24.
X
25.
Y
to 7.*
Ans.
30,563,469,318,272
20,990,261,139,320
27,459,685,773,520
4,384,296,043,600
24,515,941,286,584
31,988,182,999,300
32,429,023,041,316
46,186,315,912,088
21,940,078,594,852
14,492,551,369,472
43,131,671,289,344
37,389,343,671,988
Exercise 21.
Line.
1. A 9,323,569,900,800
2. B 46,258,361,631,900
Multiply by 608700,
Ans.
3.
1 to 8.*
Line. Ans.
C 10,879,107,620,400
D 41,590,934,641,200
* Inclusive.
MULTirLICATION.
35
Line. Anf?.
5. E 45,918,019,809,600
0. F 63,088,595,897,200
7. • G 57,524,326,102,500
8. H 28,513,329,839,100
9. I 80,113,538,225,600
10. J 4,367,085,888,900
11. K 4,177,024,792,200
12. L 16,041,933,627,900
13. M 80,151,723,802,700
14. N 9,807,121,180,800
15. O 82,989,890,423,000
Lino. Ans.
16. P 45,951,335,178,000
17. Q 49,229,647,290,000
18. R 57,767,028,792,600
19. S 8,893,534,332,500
20. T 10,034,192,454,900
21. U 60,404,701,198,200
22. V 89,192,500,205,300
23. W 88,286,002,860,800
24. X 60,032,896,281,600
25. Y 84,985,952,245,700
Line.
1.
A
2.
B
3.
C
4.
D
5.
E
6.
F
7.
G
8.
H
9.
I
10.
J
11.
K
12.
L
13.
M
Exercise
Multiply by 235987,
Ans.
23,302,513,188,274 14.
21,875,440,042,456 15,
16,033,795,949,772 16.
8,723,578,745,411 17,
8,633,441,101,795 18.
20,966,395,987,785 19.
19,029,980,116,637 20.
21,652,214,091,588 21.
21,897,973,077,271 22.
22,494,413,936,668 23,
15,760,902,942,842 24,
17,190,040,214,842 25,
19,946,075,278,988
22.
14 to 21.
Line.
, N
, O
. P
. Q
. R
. S
. T
. U
. Y
. W
. X
. Y
Ans.
8,418,700,011,405
5,814,176,857,793
4,710,276,449,326
22,218,873,891,585
18,778,000,518,684
17,327,494,618,784
7,636,150,649,411
19,449,453,144,799
18,157,223,494,862
2,568,124,279,784
20,599,189,567,126
10,495,862,118,254
1.
2.
8.
4.
5.
6.
Exercise 23.
Multiply by 67894, 1 to 14.*
Line.
A
B
C
D
E
F
1,764,423,522,544,890,496
5,732,010,424,827,410,278
4,662,458,717,848,550,648
2,465,086,412,225,655,544
eS,816,768,172,665,905,952
3,416,520,203,607,274,264
* Inclusive.
UYh
oar
^^/FOUli
86 DICTATION EXERCISES.
7.
G
8.
H-
9.
I
10.
J
11.
K
12.
L
13.
M
14.
N
15.
O
16.
P
17.
Q
18.
R
19.
S
20.
T
21.
U
22.
V
23.
w
24.
X
25.
J
Ans.
1,093,887,386,625,721,050
3,046,603,852,958,166,742
2,075,156,311,244,363,872
3,386,335,946,301,904,618
4,638,396,336,702,614,164
4,713,169,322,306,787,798
3,271,665,856,303,558,174
3,541,365,712,679,884,096
6,373,580,087,270,807,260
5,586,628,968,381,880,360
3,754,143,116,442,669,800
1,622,435,414,296,620,412
1,460,929,947,482,273,650
2,097,552,302,207,265,538
5,043,675,473,100,875,884
4,644,381,703,705,846,786
1,678,119,900,195,725,696
5,626,572,579,229,998,592
1,736,352,215,910,237,834
DIVISION.
37
DIVISION.
as- See Table, or " Written Arithmetic,'
'pages
22 and 336.
Exercise 1.
Divide by 2,
from 1 to 8.*
Un«.
Ans. Bern.
Line.
Ans. Rem.
1.
A
7,658,592
14.
N
8,055,792
2.
B
37,997,668-1
15.
O
27,098,645
3.
C
8,936,346
16.
P
37,745,470
4.
D
34,163,738
17.
Q
40,438,350
5.
E
37,718,104
18.
R
47,451,149
6.
F
43,608,178
19.
S
3,198,237-1
7.
G
47,251,787-1
20.
T
8,242,313-1
8.
H
23,421,496-1
21.
U
49,617,793
9.
I
24,735,944
22.
V
32,193,609-1
10.
J
3,587,223-1
23.
w
31,448,992
11.
K
3,431,103
24.
X
49,312,384
12.
L
13,177,208-1
25.
Y
28,738,255-1
13.
M
24,767,310-1
EXERC
'ISE 2.
Divide by
3, 1 to 8.<
i
Line.
Ans. Rem.
Line.
Ans. Rem.
1.
A
5,105,728
14.
N
5,370,528
2.
B
25,831,779
15.
o
18,065,763-1
3.
C
5,957,564
16.
p
25,163,646-2
4.
D
22,775,825-1
17.
Q
26,958,900
5.
E
25,145,402-2
18.
R
31,634,099-1
6.
F
29,072,118-2
19.
S
2,182,158-1
7.
G
31,501,191-2
20.
T
5,494,875-2
8.
H
15,614,831
21.
U
33,078,528-2
9.
I
16,490,629-1
22.
V
21,462,406-1
10.
J
2,391,482-1
23.
w
20,965,994-2
11.
K
2,287,402
24.
X
32,874,922-2
12.
L
8,784,805-2
25.
Y
19,158,837
13.
M
16,511,540-1
* Incl
usivc.
38
DICTATION EXERCISES.
EXEHCISE 3.
Divide by
4, 1 to 9.
*
Line.
Ans. Ecm.
Line.
Ans. Rmii.
1.
A
228,829,296
14.
N
54,027,896
2.
B
218,998,834-1
15.
o
113,549,322-2
3.
C
154,468,173
16.
p
143,872,735
4.
D
217,081,869
17.
Q
45,219,175
5.
E
143,859,052
18.
R
148,725,574-2
6.
P
96,804,089
19.
S
201,599,118-3
7.
G
173,625,893-3
20.
T
129,121,156-3
8.
H
236,710,748-1
21.
U
124,808,896-2
9.
I
162,867,972
22.
V
91,096,804-3
10.
J
201,793,611-3
23.
w
190,724,496
11.
K
51,715,551-2
24.
X
224,656,192
12.
L
131,588,604-1
25.
Y
114,369,127-3
13.
M
212,388,655-1
EXEEC
ISE 4.
Divide by
6, 1 to 9.
»
Line.
Ans. Rem.
Line.
Ans. Eem.
1.
A
183,063,436-4
14.
N
43,222,316-4
2.
B
175,199,067-2
15.
O
90,839,458
8.
C
123,574,538-2
16.
P
115,098,188
4.
D
173,665,495-1
17.
Q
36,175,340
5.
E
115,087,241-3
18.
E
118,980,459-3
6.
F
77,443,271-1
19.
S
161,279,295
7.
G
138,900,715
20.
T
103,296,925-2
8.
H
189,368,598-3
21.
U
99,847,117-1
9.
I
129,894,377-3
22.
V
72,877,443-4
10.
J
161,434,889-2
23.
w
152,579,596-4
11.
K
41,372,441-1
24.
X
179,724,953-3
12.
L
105,270,883-2
25.
Y
91,495,302-1
13.
M
169,906,924-1
EXERC
ISE 5.
Divide by (
i, 1 to 10.
*
Line.
Ans. Kem.
Line.
Ans. Rem.
1.
A
1,819,219,530-4
3.
c
436,312,115-2
2.
B
979,332,556-1
* Iiicl
4.
asive.
D
1,311,387,912-4
DIVISION.
39
6.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
Mno.
E
Ans. Rom.
1,095,906,034-4
16.
F
231,202,726
17
G
282,417,262-3
18.
H
491,140,498-5
19.
I
774,911,981-2
20
J
1,134,529,074-3
21,
K
1,367,810,367-4
22.
L
1,587,725,736-1
23.
M
1,308,255,770-1
24.
N
36,018,597-2
25.
909,032,881-4
Lino.
p
Q
R
S
T
U
V
W
X
Y
Ans. Rem.
762,581,823-2
696,812,783-2
1,099,150,383
1,301,066,079-1
752,747,437-5
1,249,872,597-4
1,060,731,203-1
1,127,149,664
483,104,128
742,912,751-5
Exercise 6.
Divide by 7, 1 to 10.*
Line. Ans. Rem. Line. Ans. Rem.
1. A 1,130,759,597-5 14. N 80,873,083-3
2. B 839,427,905-2 15. O 779,171,041-3
3. C 373,981,813-1 16. P 653,641,562-6
4. D 1,124,046,782-2 17. Q 597,268,100
5. E 939,348,029-5 18. R 942,128,899-5
6. F 198,173,765-1 19. S 1,115,199,496-3
7. G 242,071,939-2 20. T 645,212,089-4
8. H 420,977,570-3 21. U 1,071,319,369-3
9. I 664,210,269-5 22. V 909,198,174-1
10. J 972,453,492-3 23. W 966,128,283-3
11. K 1,172,408,886-4 24. X 414,089,252-4
12. L 1,360,907,773-6 25. Y 636,782,358-5
13. M 1,121,362,088-5
Exercise 7.
Divide by 8, 1 to 11.
Line. Ans. Rem.
1. A 10,989,414,648
2. B 3,234,499,417-1
3. C 9,077,234,086-4
4. D 983,540,934-4
5. E 2,071,929,526
6. F 2,673,402,044-4
7. G 1,461,812,946-7
9.
10.
11.
12.
13.
14.
Line. Ans. Rem.
H 9,118,355,374-1
I 8,081,183,986
J 9,600,896,805-7
' K 2,275,857,775-6
L 2,440,794,802-1
M 10,981,191,827-5
K 7,527,013,948
* Inclusive.
40
DICTATION EXERCISES.
Line. Ans. Rem.
15. O 9,431,774,GGl-2
16. P 10,571,936,367-4
17. Q 11,772,609,587-4
18. R 12,074,362,787-2
19. S 2,225,799,559-3
20. T 11,814,560,578-3
Line. Ans. Rem.
21. U 10,937,404,448-2
22. V 795,548,402-3
23. W 2,095,362,248
24. X 9,112,328,096
25. Y 9,307,184,563-7
Exercise 8.
Divide by 9, 1 to 11.
1.
Line.
A
Ans. Rem.
9,768,368,576
14.
2.
B
2,875,110,593
15.
3.
C
8,068,652,521-3
16.
4.
D
874,258,608-4
17.
5.
E
1,841,715,134-2
18.
6.
F
2,376,357,372-8
19.
7.
G
1,299,389,286-1
20.
8.
H
8,105,204,777
21.
9.
I
7,183,274,654-2
22.
10.
J
8,534,130,494-1
23.
11.
K
2,022,984,689-5
24.
12.
L
2,169,594,935-2
25,
13.
M
9,761,059,402-3
Line. Ans. Rem.
N 6,690,679,064-8
O 8,383,799,698-8
P 9,397,276,771-1
Q 10,464,541,855-5
R 10,732,766,922
S 1,978,488,497-2
T 10,501,831,625-2
U 9,722,137,287-3
V 707,154,135-4
W 1,862,544,220-4
X 8,099,847,196-4
Y 8,273,052,945-6
Exercise 9.
Divide by 7, from 1 to 21.*
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
Line.
A
B
C
D
E
F
G
H
I
J
K
L
141,064,146,569,702,188,169-1
129,398,412,060,839,427,905-2
97,062,224,096,088,267,527-3
52,809,076,615,409,761,068
21,995,408,030,939,348,029-5
126,922,221,474,483,888,050-6
115,199,930,873,099,214,796-3
131,073,892,124,706,691,856-1
132,561,618,652,092,781,698-2
136,172,235,696,686,739,206-5
95,410,238,331,172,408,886-4
104,061,667,059,932,336,345-2
Inclusive.
DIVISION. 41
Line. Ang. Kem.
13. M 120,745,606,883,978,504,945-6
14. N 20,695,450,308,602,301,654-6
15. O 32,169,913,410,779,171,041-3
16. P 28,514,140,326,367,927,277-1
17. Q 134,504,222,184,882,982,385-5
18. R 113,674,546,270,942,128,899-5
19. S 104,893,760,216,829,485,210-5
20. T 46,226,218,699,216,640,661
21. U 117,739,253,469,642,747,940-6
22. V 109,916,609,772,337,769,602-5
23. W 15,546,403,530,966,128,283-3
24. X 124,698,997,553,271,232,109-5
25. Y 63,537,775,082,065,353,787-2
Exercise 10.
Divide by 8, 1 to 21.*
Line. Ans. Rem.
1. A 123,431,128,248,489,414,648
2. B 113,223,610,553,234,499,417-1
3. C 84,929,446,084,077,234,086-4
4. D 46,207,942,038,483,540,934^
5. E 19,245,982,027,071,929,526
6. F 111,056,943,790,173,402,044-4
7. G 100,799,939,513,961,812,946-7
8. H 114,689,655,609,118,355,374-1
9. I 115,991,416,320,581,183,986
10. J 119,150,706,234,600,896,805-7
11. K 83,483,958,539,775,857,775-6
12. L 91,053,958,677,440,794,302-1
13. . M 105,652,406,023,481,191,827-5
14. N 18,108,519,020,027,013,948
15. O 28,148,674,234,431,774,661-2
16. P 24,949,872,785,571,936,367-4
17. Q 117,691,194,411,772,609,587-4
18. R 99,465,227,987,074,362,787-2
19. S 91,782,040,189,725,799,559-3
20. T 40,447,941,361,814,560,578-3
21. U 103,021,846,785,937,404,448-2
22. V 96,177,033,550,795,548,402-3
* Inclusive. - .
c?*
I
42
DICTATION EXERCISES.
23.
24.
25.
Line.
w
X
Y
Ans. Rem.
13,603,103,089,595,362,248
109,111,622,859,112,328,096
55,595,553,196,807,184,563-7
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
1,
2.
3.
EXEECISE 11.
Divide by 9, 1 to 21.*
Line. Ans. Rem.
A 109,716,558,443,101,701,909-3
B 100,643,209,380,652,888,370-7
C 75,492,840,963,624,208,076-8
D 41,073,726,256,429,814,164
E 17,107,539,579,619,492,912
F 98,717,283,369,043,024,039-5
G 89,599,946,234,632,722,619-4
H 101,946,360,541,438,538,110-3
I 103,103,481,173,849,941,320-8
J 105,911,738,875,200,797,160-7
K 74,207,963,146,467,429,134
L 80,936,852,157,725,150,490-7
M 93,913,249,798,649,948,291-2
N 16,096,461,351,135,123,509-3
O 25,021,043,763,939,355,254-4
P 22,177,664,698,286,165,660
Q 104,614,395,032,686,764,077-7
, R 88,413,535,988,510,544,699-7
S . 81,584,035,724,200,710,719-4
T 35,953,725,654,946,276,069-6
U 91,574,974,920,833,248,398-4
V 85,490,696,489,596,043,024-3
W 12,091,647,190,751,433,109-3
X 96,988,109,208,099,847,196-4
Y 49,418,269,508,273,052,945-6
Exercise 12.
Divide by 11, 11 to 21.*
Line. Ans. Rem. Line,
A 8,976,809,327-1 4. T>
B 8,234,444,403-9 5. E
C 6,176,686,987-10 6. F
* Inclusive.
Ans. Rem
3,360,577,602-8
1,399,707,783-8
8,076,868,639-3
DIVISION.
43
Lino.
An9. Rem.
Line.
Ans. Rem.
7.
G
7,330,904,691-10
17.
Q
8,559,359,593-6
8.
H
8,841,065,862-5
18.
R
7,233,834,762-7
9.
I
8,435,739,868-8
19.
S
6,675,057,468-3
10.
J
8,665,505,907-10
20.
T
2,941,668,462-7
11.
K
6,071,560,621
21.
U
7,492,497,948
12.
L
6,622,106,085-6
22.
V
6,994,693,349-1
13.
M
7,683,811,347-1
23.
w
989,316,588-3
14.
N
1,316,983,201-5
24.
X
7,935,390,753-4
15.
O
2,047,176,307-10
25.
Y
4,043,312,959-8
16.
P
1,814,536,202-6
Exercise 18.
Divide by 12, i
rom 11 to 21
,♦
line.
Ans. Rem.
Line.
Ans. Rem.
1.
A
8,228,741,883-2
14.
N
1,207,234,601-4
2.
B
7,548,240,703-6
15.
o
1,876,578,282-3
3.
C
5,661,963,072-3
16.
p
1,663,324,852-4
4.
D
3,080,529,469-2
17.
Q
7,846,079,627-5
5.
E
1,283,065,468-5
18.
R
6,631,015,199-1
6.
P
7,403,796,252-8
19.
S
6,118,802,679-3
7.
G
6,719,995,967-7
20.
T
2,696,529,424-1
8.
H
7,645,977,040-7
21.
U
6,868,123,119
9.
I
7,732,761,088
22.
V
6,411,802,236-8
10.
,J
7,943,380,415-7
23.
W
906,873,589-3
11.
K
5,565,597,235-11
24.
X
7,274,108,190-7
12.
L
6,070,263,911-9
25.
Y
3,706,370,218-1
13.
M
7,043,493,734-10
EXEEC
ISE 14.
Divide by S
3, 1 to 12.*
Line.
Ans. Rem.
Line.
Ans. Rem.
1.
A
18,639,911,644-52
8.
H
16,470,695,150-43
2.
B
8,035,396,138-23
9.
I
10,653,763,620-28
3.
12,690,903,258-18
10.
J
16,543,531,593-18
4.
D
5,808,836,367-25
11.
K
6,008,908,060-26
5.
E
4,086,328,985-3
12.
L
7,915,591,592-41
6.
F
6,063,909,742-30
13.
M
3,544,330,841-48
7.
G
2,107,443,463-36
• Inc
14.
lusive.
N
8,022,945,501-31
44
DICTATION EXERCISES.
15.
O
16.
P
17.
Q
18.
R
19.
S
20.
T
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
1.
2.
^3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
Line. Ans. Rem.
O 16,518,003,722-24
" 5,369,348,885-35
5,550,582,579-13
16,916,884,949-1
9,769,932,008-51
16,877,669,521-14
I^ine. Ans. YJem.
21. U 5,424,513,878-52
22. V 7,667,252,589-2
23. W 13,523,828,263-45
24. X 16,469,785,372-52
25. Y 10,838,820,311-28
Exercise 15.
Divide by 45, 1 to 12.*
Line. Ans. Kem.
A 21,953,673,715-9
B 9,463,911,007-22
C 14,947,063,837-27
D 6,841,518,388-16
E 4,812,787,471-13
F 7,141,938,141-11
G 2,482,100,079-20
H 19,398,818,733-8
I 12,547,766,041-43
J 19,484,603,876-27
K 7,071,263,604-26
L 9,322,807,875-42
M 4,174,434,102-31
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
Line.
N
O
P
Q
R
S
T
U
V
W
X
Y
ExEECISE 16.
Divide by 680, 1 to 12.*
Line. Ans. Rem. Lino.
A 1,452,816,642-624 14. N
B 626,288,228-297 15. O
C 989,143,930-292 16. P
D 452,747,540-276 17. Q
E 318,493,288-368 18. R
F 472,628,259-236 19. S
G 164,256,622-615 20. T
II 1,283,745,357-233 21. U
I 830,366,870-288 22. Y
J 1,289,422,315-247 23. W
K 467,951,267-646 24. X
L 616,950,521-137 25. Y
M 276,249,315-421
* Inclusive.
Ans. Rem.
3,560,358,035-9
19,454,537,717-25
6,323,899,798-30
6,537,352,815-25
19,924,331,162-8
11,506,808,810-25
19,878,144,102-37
6,388,871,901-41
9,030,319,715-44
15,928,064,399-29
19,397,747,217-3
12,765,721,700-11
Ans. Kem.
235,611,928-544
1,287,432,643-50
418,493,369-20
432,618,936-220
1,318,521,915-98
761,479,994-555
1,315,465,418-387
422,792,993-346
597,594,687-59
1,054,063,085-184
1,283,674,448-128
844,790,406^31
DIVISION.
4«
EXEECISE 17.
Divide by 7
90, 1 to 12.*
Une.
Ans. Rem.
Line. Ans. Rem.
1.
A
1,250,525,717-754
14.
N
202,805,204-424
2.
B
539,083,538-317
15.
O
1,108,169,869-780
3.
C
851,415,028-572
16.
P
360,222,140-340
4.
D
389,706,743-506
17.
Q
372,380,856-460
5.
E
274,146,121-618
18.
R
1,134,930,256-58
6.
P
406,819,261-166
19.
S
655,451,134-615
7,
G
141,385,447-445
20.
T
1,132,299,347-497
8.
H
1,104,996,003-623
21.
U
363,923,083-16
9.
I
714,746,166-748
22.
V
514,385,300-219
10.
J
1,109,882,499-237
23.
W
907,294,807-454
11.
K
402,793,496-366
24.
X
1,104,934,968-48
12.
L
531,046,018-197
25.
Y
727,161,362-531
13.
M
237,784,221-31
EXERC
ISE IJ
?.
Divide by 80
42, 1 to 12.*
Line.
Ans. Rem.
Lino
Ans. Rem,
1.
A
122,844,481-982
14.
N
19,922,421-1902
2.
B
52,956,477-7303
15.
108,860,258-2454
3.
C
83,638,133-7106
16.
p
35,386,159-262
4.
D
38,282,557-4082
17.
Q
36,580,561-5138
5.
E
26,930,544-1360
18.
R
111,489,045-2408
6.
F
39,963,598-1450
19.
S
64,387,763-6429
7.
G
13,888,896-1943
20.
T
111,230,599-7469
8.
H
108,548,475-7043
21.
U
35,749,718-3430
9.
I
70,212,568-32
22.
V
50,530,264-4131
10.
J
109,028,497-1573
23.
w
89,127,443-1378
11.
K
39,568,125-956
24.
X
108,542,480-608
12.
L
52,166,917-7903
25.
y
71,432,165-5581
13.
M
23,358,559-3143
Exercise 10.
Divide by 93701, 1 to 14.*
Lino. Ans. Rem.
1. A 277,349,391-31093
2. B 901,013,607-5830
Lino. Ans. Rem.
3. C 732,890,981-62011
4. D 387,486,465-7521
^ Inclusive.
46
DICTATION EXERCISES.
Unc.
5.
E
6.
F
7.
G
8.
H
9.
I
10.
J
11.
K
12.
L
13.
M
14.
N
15.
Ans. Rem.
599,957,048-81560
537,042,157-63299
171,947,946-15429
478,895,068-76325
326,193,418-11870
532,297,490-63957
729,108,620-59586
740,862,171-69546
514,272,521-44400
556,666,589-55695
O 1,001,861,817-82573
Line. Ans. Rem.
16. P 878,161,124-11016
17. Q 590,113,028-40072
18. R 255,030,308-12390
19. S 229,643,295-11680
20. T 329,713,839-56488
21. U 792,814,369-45917
22. V 730,049,459-29460
23. W 263,783,341-62943
24. X 884,439,852-52516
25. Y 272,936,868-8043
Exercise 20.
Divide by 28970, 1
Line. Ans. Rem.
1. A 897,063,007-4394 14.
2. B 2,914,251,846-16717 15.
3. C 2,370,473,519-27262 16.
4. D 1,253,291,968-14516 17.
5. E 1,940,510,025-11958 18.
6. F 1,737,017,163-4246 19.
7. G 556,151,001-4605 20.
8. H 1,548,945,351-24523 21.
9. I 1,055,044,855-22538 22.
10. J 1,721,670,941-13677 23.
11. K 2,358,239,795-1056 24.
12. L 2,396,255,656-97 25.
13. M 1,663,370,712-7981
to 14.»
Line. Ang. Rem.
N 1,800,490,718-11124
O 3,240,436,803-14380
P 2,840,337,434-27960
Q 1,908,670,378-26040
R 824,873,831-18228
S 742,761,698-5415
T 1,066,431,359-14397
U 2,564,290,619-3156
y 2,361,282,857-19929
W 853,184,773-24174
X 2,860,645,447-25178
Y 882,791,076-4791
Exercise 21.
Divide by 1700986, 1 to 16.*
Line. Ans. Rem. Line. Ans. Rem.
A 5,306,326,986-708988 G 5,594,467,970-85155
B 5,223,103,468-375889 H 4,259,219,621-596687
C 3,273,790,976-770356 I 782,231,393-1218390
D 2,078,975,293-588578 J 3,321,530,457-1243845
E 4,618,625,065-622118 K 980,794,790-199266
F 3,263,002,392-457844 L 981,442,249-996903
* Inclusive.
DIVISION.
47
Lino. Ans. Rem.
M 5,436,957,004-1069517
N 4,792,608,649-083670
O 5,522,605,979-401996
P 5,280,634,041-626514
Q 5,617,503,131-89534
R 1,072,258,440-80458
S 3,716,384,383-294837
Line. Ans. Rem.
T 2,075,792,814-970023
U 2,806,776,480-1626306
V 3,085,160,468-565771
W 2,836,423,558-669796
X 1,753,614,020-1201048
Y 2,601,770,065-1692421
Exercise 22.
Divide by 28709600, 1
Line. Ans. Rem.
A 314,389,190-26093184
*B 309,458,365-191337
C 193,965,524-10042292
D 123,175,100-17367476
E 273,644,236-17570608
F 193,326,322-13125156
G 331,460,964-2449175
H 252,350,187-18147793
I 40,345,635-6875888
J 196,793,992-14451247
K 58,110,116-20548606
L 58,148,477-11075217
M 322,128,760-1438621
Line.
N
O
P
Q
R
S
T
U
V
w
X
Y
to le.*
Ans. Rem.
283,952,413-19846784
327,203,285-23161290
312,866,935-18414940
332,825,750-28676700
03,529,153-23933498
220,188,292-18393275
122,986,545-4152627
166,295,855-20527586
218,338,338-15742419
168,052,385-10501984
103,898,100-6864768
154,149,638-10351711
* Inclusive.
48
DICTATION EXERCISES.
MISCELLANEOUS.
JBSg* See Table, or " Written Arithmetic," pages 22 and 336.
Exercise 1.
Take 1 to 14 * of A from 1 to 14 * of
Ans.
127,110,578,550,845
78,992,570,882,984
66,536,528,446,500
80,550,047,335,380
40,445,166,402,747
34,996,726,029,384
49,449,680,997,697
54,453,541,329,151
92,207,098,719,469
111,749,817,899,439
91,619,460,571,854
74,360,150,329,021
120,047,754,991,690
150,172,114,371,046
111,590,841,050,456
53,202,860,461,814
19,426,485,981,589
26,424,407,563,918
79,194,100,403,029
116,705,948,305,621
67,135,211,968,019
81,601,746,205,568
82,459,440,784,095
1.
IjUI
-C
2.
C-
-D
3.
D-
-E
4.
E-
-F
5.
F-
-G
6.
G-
hH
7.
H-
-I
8.
I -
-J
9.
J -
-K
10.
K-
-L
11.
L -
-M
12.
M-
-N
13.
N-
-O
14.
O-
-P
15.
P-
-Q
16.
Q-
-R
17.
R-
-S
18.
S -
-T
19.
T-
-U
20.
U-
-V
21.
V-
-w
22.
w-
-X
23.
X-
-Y
Exercise 2.
Take 1 to 14 * of Y from 1 to 14 * of
Lines. Ans.
1. A + B 84,839,333,836,010
2. B 4- C 127,524,036,391,518
8. C + D 79,406,028,723,657
* Inclusive.
MISCELLANEOUS.
49
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
D
E
F
G -4- H
H
I
J
K
L
M
O
P
E
F
G
I
J
K
L
M
N"
O
P
Q
Q + R
E -f S
S + T
T + U
U+ Y
Y -f W
W+ X
66,949,986,287,173
80,963,505,176,063
40,858,624,243,420
35,410,183,870,057
49,863,138,838,370
54,866,999,169,824
92,620,556,560,142
112,163,275,740,112
92,032,918,412,527
74,773,608,169,694
120,461,212,832,363
150,585,572,211,719
112,004,298,891,129
53,616,318,302,487
19,839,943,822,262
26,837,865,404,591
79,607,558,243,702
117,119,406,146,294
67,548,669,808,692
82,015,204,046,241
Exercise 3.
Multiply the difference between the following lines, from 14 to 21,*
by 756.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
Lines.
A B
B C
C D
D E
E F
F G
G H
H
I
J
K
L
Products.
6,173,506,584
17,112,310,992
23,418,765,468
16,306,593,408
55,527,270,120
6,203,436,624
8,400,500,388
787,305,204
1,910,737,836
21,571,248,888
4,578,336,000
8,829,141,048
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
Lines.
M N"
N O
O P
P Q
Q R
R S
S T
T U
UY
Y W
WX
X Y
Products.
52,946,542,404
6,072,285,744
1,934,634,996
56,089,951,092
11,023,064,388
4,646,791,800
31,046,862,924
37,844,697,744
4,139,743,356
49,940,712,864
57,763,552,896
32,366,519,136
* Inclusive.
50
DICTATION EXERCISES.
Exercise 4.
Divide the difference between the following lines, from 1 to 12,* by
964.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10."
11.
12.
Lines.
A B
B C
C D
D E
E F
F G
G H
H I
I J
J K
K L
L M
Ans. Rem.
583,028,342-159
255,956,304-299
378,370,897-508
94,702,169-352
108,725,913-16
217,523,560-941
789,680,850-18
319,810,550-905
323,815,044-143
579,460,904-785
105,103,207-663
240,328,651-232
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
Lines.
M N"
N O
O P
P Q
Q R
R S
S T
T U
UV
V w
wx
X Y
Ans. Eem.
28,665,376-573
741,948,221-662
612,944,716-126
9,964,093-108
624,910,814-902
392,934,134-647
390,778,099-716
629,685,942-953
123,304,099-197
321,990,156-381
161,966,521-540
309,586,253-365
Exercise 5.
Divide the
Lines.
1.
A
B
2.
B
C
3.
C
D
4.
D
E
5.
E
F
6.
F
G
7.
G
H
8.
H I
9.
I
J
10.
J
K
11.
K L
12.
L
M
13.
M
N
14.
isr o
15.
o
P
16.
p
Q
product of the sum
from 17
17. Q R
Sum.
189,322
Dif.
8,166
158,521
22,635
104,909
30,977
52,362
21,570
104,241
73,449
169,484
8,206
172,390
11,112
184,544
1,042
188,113
2,527
162,107
28,533
139,630
6,056
157,364
11,678
99,007
70,035
37,004
8,032
42,477
2,559
114,111
74,193
173,724
14,580
and difference of
to 21,* by 760.
Prod.
1,546,003,452
3,588,122,835
3,249,766,093
1,129,448,340
7,656,397,209
1,390,785,704
1,915,597,680
192,294,848
475,361,551
4,625,399,031
845,599,280
1,837,696,792
6,933,955,245
297,216,128
108,698,643
8,466,237,423
2,532,895,920
* Inclusive.
the following lines,
Quo. Rem.
2,034,215-52
4,721,214-195
4,276,008-13
1,486,116-180
10,074,206-649
1,829,981-144
2,520,523-200
253,019-408
625,475-551
6,086,051-271
1,112,630-480
2,418,022-72
9,123,625-245
391,073-648
143,024-403
11,139,786-63
3,332,757-600
MISCELLANEOUS.
51
Lines. Sum.
18. R S 152,997
19. S T 105,783
20. T U 114,775
21. U V 159,358
22. V W 87,823
23. WX 98,171
24. X Y 131,765
Dif.
6,147
41,067
50,059
5,476
66,059
76,407
42,813
Trod.
940,472,559
4,344,190,461
5,745,521,725
872,644,408
5,801,499,557
7,500,951,597
5,641,254,945
Quo. Rem.
1,237,463-679
5,716,040-61
7,559,897-5
1,148,216-248
7,633,552-37
9,869,673-117
7,422,703-665
Exercise 6.
Divide the product of the sum
from 11
Lines. Sum. Dif.
1. A B 91,040 85,844
2.B C 145,309 31,575
3. C D 110,497 3,237
4. D E 139,251 31,991
5. E F 140,653 30,589
6. F G 106,643 3,421
7. G H 76,098 27,124
8. H I 57,543 8,569
9. 1 J 98,043 31,931
10. J K 131,818 1,844
11. KL 133,772 110
12. L M 91,759 42,123
13. MIST 40,034 9,602
14. NO 54,603 24,171
15. O P 137,615 58,841
16. P Q 153,757 42,699
17. Q R 137,918 26,860
18. R S 114,540 50,238
19. S T 85,240 20,938
20. T U 130,517 24,339
21. U Y 104,268 50,588
22. YW 109,311 55,631
23. WX 180,758 15,816
24. X Y 140,844 1 55,730
and difference of the following lines,
to 15,* by 890.
Prod.
7,815,237,760
4,588,131,675
357,678,789
4,454,778,741
4,302,434,617
364,825,703
2,064,082,152
493,085,967
3,130,611,033
243,072,392
14,714,920
3,865,164,357
384,406,468
1,319,809,113
8,097,404,215
6,565,270,143
3,704,477,480
5,754,260,520
1,784,755,120
3,176,653,263
5,274,709,584
6,081,080,241
2,858,868,528
7,849,236,120
Quo. Rem.
8,781,166-20
5,155,204-115
401,886-249
5,005,369-331
4,834,196-177
409,916-463
2,319,193-382
554,029-157
3,517,540-433
273,115-42
16,533-550
4,342,881-267
431,917-338
1,482,931-523
9,098,206-875
7,376,708-23
4,162,334-220
6,465,461-230
2,005,342-740
3,569,273-293
5,926,639-874
6,832,674-381
3,212,211-738
8,819,366-380
♦ Inclusive.
THE FOLLOWING
SHOWS THE RESITLTS OP THE SUCCESSIVE ADDITIONS OF THE COLUMNS,
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V-Jr
YB 17442
.-i^KaB*''*?^^"
UNIVERSITY OF CALIFORNIA UBRARY
"vrra-^^
WALTON'S SERIES OF ARITHMETICS
CONSISTS OF
I. Walton's Pictorial Primary Arithmetic.
II. Walton's Intellectual Arithmetic.
III. Walton's Written Arithmetic.
Tlie Pictorial I^i'imary A^ritliiiietic,
On the plan of Object-Lcssons, is appropriately illustrated, and presents the
elementary combinations of numbers in a series of simple and progressive
lessons, calculated to interest and develop the mind of the young learner.
Tlie Intellectxial j^'itliiiietic
Forms a connecting link between the Primary and Written Arithmetics^
reviewing the former, and illustrating with small numbers nearly ail the
principles applied in the latter. This book contains also An Introduction
to Written Arithmi:- ':, and is well adn- ted to meet the wants of the
large class of students who can devote but little time to the study of arith-
metic. Tlio ^W^rittcn jVritlmaetic,
For Common and Higher t jI. '>ls,ip t thoroughly analytical and progres-
sive work ; it presents the science of numbers in a philosophical manner,
and affords a more full and varied practice than any other book of its
class. Its original and thoroiigh system of reviews commends it to
every practical teacher. A distinguishing featm'c of this Arithmetic is its
adaptation to the present wants of business life.
Walton's Dictation Exercises
Comprise a Card, on which are arranged figures for arithmetical opera-
tions, and two Keys, containing more than seven thousand examples, to
be perforaied in connection with the Card. These examples embrace all
the practical applications of arithmetic, from Notation to Cube Root, and.
arc so aiTanged that the teacher may assign a separate example to each
pupil of a class of twenty-lvc at a single dictation. These exercises are
especially designed for iiEviiiws and test examples, and may be used
in connection with, and supplementary to, any series of Arithmetics.
L-
P I ' B L I S H E R S ,
131 Wasliini^^toTi Street, Boston.