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A. A. Klaf - Arithmetic Refresher: Improve your working knowledge of arithmetic

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A. A. Klaf Arithmetic Refresher: Improve your working knowledge of arithmetic
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    Arithmetic Refresher: Improve your working knowledge of arithmetic
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The farther we get from our grade school days, the easier it is to forget those operations and nuances of arithmetical computation that keep recurring in our daily lives: interest and discount problems, time-payment calculations, tax problems, and so on.
This handy book is designed to streamline your methods and resharpen your calculation skills for a variety of situations. Starting with the most elementary operations, the book goes on to cover all basic topics and processes of arithmetic: addition, subtraction, multiplication, division, fractions, percentage, interest, ratio and proportion, denominate numbers, averages, etc. The text continues into other useful matters, such as powers and roots, logarithms, positive and negative numbers, harmonic progression, and introductory concepts of algebra.
Entirely practical in approach and using an easy-to-follow question and answer style, this book covers a wide range of common knotty areas: filling and emptying receptacles, scales for models and maps, business and financial calculations (partial payment problems, compound interest, bank and sales discount, profit and loss problems, etc.), angle measurement, mixtures and solutions, graph and chart problems, and the like.
The discussion contains numerous alternate and short-cut methods, such as quick ways to figure compound interest; to square a number from 1 to 100; to divide by 5, 25, 125, 99, etc.; to multiply two 2-digit numbers having the same figure in the tens place; and many more. These valuable tips, together with the huge fund of exercise problems (a total of 809, half of them answered in an appendix), help you to increase your computational proficiency and speed, and make this an extremely useful volume to have on your shelf at home or at work. Anyone who has to do any figuring at all housewife, merchant, student will profit from this refresher. Parents will find it an excellent source of material for helping children in school work.

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Table of Contents BOOKS BY A ALBERT KLAF Calculus Refresher for - photo 1
Table of Contents

BOOKS BY A. ALBERT KLAF

Calculus Refresher for Technical Men
Trigonometry Refresher for Technical Men

APPENDIX A
ANSWERS TO PROBLEMS
Introduction (pp. 10-12)

3, 7, 9 .

1, 9; 3, 7; 4, 6; 7, 2; 9, 6.

7 bundles of hundreds, 6 bundles of tens, 5 bundles of units; 2 bundles of hundreds, 3 bundles of tens, 4 bundles of units; etc.

7 bundles of thousands, 4 bundles of hundreds, 8 bundles of tens, 6 bundles of units; 8 bundles of thousands, 0 bundles of hundreds, 9 bundles of tens, 0 bundles of units; etc.

6 bundles of ten thousands, 0 bundles of thousands, 3 bundles of hundreds, 0 bundles of tens, 8 bundles of units; 4 bundles often thousands, 6 bundles of thousands, 9 bundles of hundreds, 5 bundles of tens, 1 bundle of units; etc.

3 bundles of hundred thousands, 6 bundles of ten thousands, 9 bundles of thousands, 2 bundles of hundreds, 4 bundles of tens, 3 bundles of units; etc.

1 bundle of millions, 7 bundles of hundred thousands, 5 bundles of ten thousands, 3 bundles of thousands, 0 bundles of hundreds, 0 bundles of tens, 2 bundles of units; 75 bundles of millions (may also be called 7 bundles often millions and 5 bundles of millions), 2 bundles of hundred thousands, 0 bundles of ten thousands, 6 bundles of thousands, 0 bundles of hundreds, 0 bundles of tens, 8 bundles of units; etc.

27 bundles of billions (may also be called 2 bundles of ten billions and 7 bundles of billions), 3 bundles of hundred millions, 9 bundles of ten millions, 2 bundles of millions, 4 bundles of hundred thousands, 9 bundles often thousands, 6 bundles of thousands, 0 bundles of hundreds, tens, and units; etc.

  • ( a ) 0.73586
  • ( b ) 8,000.008
  • ( c ) 0.5; 0.3; 2.1
  • ( d ) 7.009; 0.000012
  • ( e ) 0.235; 0.491; 0.0006; 300.03 ( f ) 4.7; 9.2; 0.86; 500.005
  • ( g ) 0.4; 0.9; 0.3; 0.6; 0.01; 0.007; 0.0008
  • ( h ) 0.364575
  • ( i ) 0.908006034
  • ( a ) Sixteen and five thousandths
  • ( b ) Fifty and six hundred seven thousandths ( c ) Two ten-thousandths
  • ( d ) Eighty-seven and nine thousand three hundred seventy-five ten-thousandths
  • ( e ) Thirty-five and two hundred one thousandths
  • ( f ) Eighty-six and five thousand three hundred ninety-two ten-thousandths
  • ( g )Two and three thousand four hundred forty-one ten-thousandths
  • ( h )Two hundred and three thousand four hundred eighty-seven ten-thousandths
  • ( i )Twenty and two thousand seventy-four ten-thousandths
  • ( j )Two hundred six and ten thousand fifty-seven hundred-thousandths
  • ( k )Thirty and five hundred sixty-four thousandths
  • ( l ) Ninety-seven and four thousand three hundred fifty-six ten-thousandths

Three hundred fifty-six dollars thirty-five cents six mills.

  • ( a ) $0.66
  • ( b ) $0.80
  • ( c ) $0.47
  • ( d ) $0.10
  • ( e ) $1.20
  • ( f ) $7.12
  • ( a ) 475
  • ( b ) 5,621
  • ( c ) 22
  • ( d ) 10,540
  • ( e ) 1,076.5
  • ( f ) 255.5
  • ( g ) 100
  • ( h ) 444.4
  • ( a ) XII
  • ( b ) XVIII
  • ( c ) XIX
  • ( d ) XLIII
  • ( e ) XXXIII
  • ( f ) XXVIII
  • ( g )LVI
  • ( h )LXXXII
  • ( i ) LXXVI
  • ( j ) XCVII
  • ( k ) CXVII
  • ( l ) CCCLXXXV
  • ( m ) CCXL
  • ( n ) DXII
  • ( o ) CDLXX
  • ( p ) DCCXLII
  • ( q ) CDXXII
  • ( r ) CMXLII
  • ( s ) MCDXXVI
  • ( t ) MDCCCLXXIV
  • ( u ) VDCCCLXXII
  • ( v ) XXIVDCCLXIV
  • ( w ) CCLVIIDCCCXLVI
  • ( x ) MCDLDCCXXIX
  • ( y ) MMMMDCCCXLV ( z ) MMMMMMMMMMDLXIICMXLII
Chapter I (pp. 21-23)

3, 6, 9, 12...

6, 12, 18, 24...

3, 5, 7, 9...; 3, 7, 11, 15...; 3, 9, 15, 21...; 3, 11, 19,27...

9, 13, 17, 21...; 9, 16, 23, 30...; 9, 18, 27, 36...; 9, 11, 13, 15...

1,997

$203.265

60

95

21

90

  • ( a ) 255
  • ( b ) 244
  • ( c ) 209 ( d ) 263
  • ( e ) 270
  • ( f ) 250
  • ( a ) 169
  • ( b ) 155
  • ( c ) 140
  • ( d ) 141
  • ( e ) 1,879
  • ( f ) 1,457
  • ( g ) 1,667
  • ( h ) 2,039

907 gallons

1,039 miles

$525

  • ( a ) 280,778 ( b ) 295,263
  • ( c ) 292,690
  • ( d ) 242,893

.

  • ( a ) 195,564
  • ( b ) 293,220
  • ( c ) 208,675
  • ( d ) 142,415
Chapter II (pp. 34-36)

22, 42, 19, 22, 25, 61, 24, 25

633, 432, 392, 134, 320, 372

1,522, 942, 1,505, 981, 1,720

4 steps to the left or 4

4 lat.

$24

  • ( a ) 124,959
  • ( b ) 151,833
  • ( c ) 74,296
  • ( d ) 161,574
  • ( e ) $3,059.07
  • ( f ) $8,738.83
  • ( g ) $388,492.54
  • ( h ) $605,791.79
  • ( a ) 25,697
  • ( b ) 49,779
  • ( c ) 92,922
  • ( d ) $220,152.50
  • ( e ) $1,000,350.90
  • ( f ) $913,578.18
  • ( a ) 4,228
  • ( b ) 4,214
  • ( c ) 4,319 ( d ) 5,659
  • ( e ) 3,357
  • ( f )2,165
  • ( a ) 2,443,393
  • ( b ) 888
  • ( c ) 1,669
  • ( d ) 178,556

.

  • ( a ) 1,421
  • ( b ) 41,135

$407.46

1,548,576

  • ( a ) 53, 51, 49, 47 ...; 53, 49, 45, 41...; 53, 47, 41, 35...; 53, 45, 37, 29...
  • ( b ) 89, 86, 83, 80...; 89, 84, 79, 74...; 89, 82, 75, 68...; 89, 80, 71, 62...
  • ( c ) 74, 69, 64, 59...; 74, 67, 60, 53...; 74, 71, 68, 65...; 74, 65, 56, 47...
Chapter III (pp. 54-56)

540; 5,400; 54,000

17,620; 176,200; 1,762,000

1,800; 18,000; 180,000; 18,000,000

1,917,000

  • ( a ) 28,428
  • ( b ) 7,136
  • ( c ) 63,851
  • ( d ) 54,008
  • ( e ) 43,362
  • ( f ) 55,859
  • ( g ) 43,776
  • ( h ) 2,700,578
  • ( i ) 443,772
  • ( j ) 7,589,594 ( k ) 3,050,260 ( l ) 3,794,186
  • ( m ) 3,157,596
  • ( n ) 2,615,057
  • ( o ) 2,893,230
  • ( p ) 28,201,925
  • ( q ) 3,047,385 ( r ) 75,874,332
  • ( s ) 18,083,583
  • ( t ) 75,490,868
  • ( u ) 3,571,632
  • ( v ) 9,602,484
  • ( w ) 428,505 ( x ) 4,346,136
  • ( y ) 3,455,412
  • ( z ) 7,346,628

$144.25; $634.70 $1,886

1,742,4001b. $420

  • ( a ) 238
  • ( b ) 272
  • ( c ) 306
  • ( d ) 304
  • ( a ) 7,395
  • ( b ) 2,352
  • ( c ) 3,074
  • ( d ) 1,184
  • ( e ) 4,355
  • ( f ) 9,306
  • ( g ) 5,328
  • ( h ) 728
  • ( i ) 306
  • ( a ) 945
  • ( b ) 8,295
  • ( c ) 6,435
  • ( d ) 630
  • ( e ) 4,005
  • ( a ) 2,709
  • ( b ) 2,625
  • ( c ) 1,316
  • ( d ) 3,149
  • ( e ) 3,364
  • ( f ) 2,016
  • ( g ) 2,236
  • ( a ) 4,275
  • ( b ) 4,875
  • ( c ) 5,525
  • ( d ) 1,925
  • ( e ) 3,325
  • ( f ) 4,125
  • ( g ) 1,225
  • ( h ) 6,375
  • ( i ) 9,425
  • ( j ) $60.75
  • ( k ) $123.75 ( l ) $204.25
  • ( a ) Picture 2
  • ( b ) Picture 3
  • ( c ) Picture 4
  • ( d ) Picture 5
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