The Common School Arithmetic: Combining Analysis and Synthesis ; Adapted to the Best Mode of Instruction in the Elements of Written Arithmetic |
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Page 4
... Key , containing the Answers not given in this book , is published for the use of Teachers . PHILLIPS ACADEMY , ANDOVER , April 19 , 1862 . } CONTENTS . SIMPLE NUMBERS . 13 Multiplication 14 Division REDUCTION iv PREFACE .
... Key , containing the Answers not given in this book , is published for the use of Teachers . PHILLIPS ACADEMY , ANDOVER , April 19 , 1862 . } CONTENTS . SIMPLE NUMBERS . 13 Multiplication 14 Division REDUCTION iv PREFACE .
Page 5
... Reduce a Fraction of a Higher Denomination to one of a Lower 111 To Reduce a Fraction of a Lower Denomination to one of a Higher 112 To Reduce a Fraction of a Higher Denomination to Whole Num- bers of Lower Denominations To Reduce Whole ...
... Reduce a Fraction of a Higher Denomination to one of a Lower 111 To Reduce a Fraction of a Lower Denomination to one of a Higher 112 To Reduce a Fraction of a Higher Denomination to Whole Num- bers of Lower Denominations To Reduce Whole ...
Page 6
... reduced to Dec- imals Integers of Lower Denominations Reduced to the Decimal of a Higher Denomination 140 Multiplication Division Circulating Decimals Definitions and Table Reduction 144 Division 134 136 • • 137 A Decimal of a Higher ...
... reduced to Dec- imals Integers of Lower Denominations Reduced to the Decimal of a Higher Denomination 140 Multiplication Division Circulating Decimals Definitions and Table Reduction 144 Division 134 136 • • 137 A Decimal of a Higher ...
Page 58
... REDUCTION . 86. All numbers are simple or compound . A SIMPLE NUMBER consists of but one kind or denomina- tion ; as 2 , $ 4 , 8 books , 5 men , 6 days , 10 miles . A COMPOUND NUMBER is composed of two or more denom- inations ; as 4 ...
... REDUCTION . 86. All numbers are simple or compound . A SIMPLE NUMBER consists of but one kind or denomina- tion ; as 2 , $ 4 , 8 books , 5 men , 6 days , 10 miles . A COMPOUND NUMBER is composed of two or more denom- inations ; as 4 ...
Page 59
... REDUCTION DESCENDING is performed by multiplica- tion ; thus , to reduce 15 £ to shillings , we multiply 15 by 20 , because there will be 20 times as many shillings as pounds . So to reduce 15 £ and 12s . to shillings , we multiply 15 ...
... REDUCTION DESCENDING is performed by multiplica- tion ; thus , to reduce 15 £ to shillings , we multiply 15 by 20 , because there will be 20 times as many shillings as pounds . So to reduce 15 £ and 12s . to shillings , we multiply 15 ...
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Common terms and phrases
acres of land amount annex bank bill bought bushels called ciphers common fraction composite number compound interest compound numbers computing interest contains cost cube cubic debts decimal fraction decimal places difference discount Divide dividend divisible dollars equal equated example Explain Ex farthings feet figure find the interest gain gallons given number greatest common divisor Hence higher denominations hundred improper fraction inches interest of $1 July least common multiple longitude lower denomination marked price measure miles mills minuend mixed number months multiplicand Multiply NOTE OPERATION payment pounds premium present worth prime factors principal PROBLEM Proof quarts quotient ratio Reduce rods Rule for finding shillings sold square root subtract subtrahend TABLE tens term of credit thousand Troy Weight units weight whole number wide yards of cloth
Popular passages
Page 283 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Page 42 - Division is the process of finding how many times one number is contained in another, or of finding one of the equal parts of a number.
Page 76 - Thirty days hath September, April, June, and November ; All the rest have thirty-one, Except the second month alone, Which has but twenty-eight, in fine, Till leap year gives it twenty-nine.
Page 10 - How does moving a figure towards the left ntluct its vniu«' make one ten, ten tens make one hundred, ten hundreds make one thousand, and, in short, ten units of any order make one unit of the next higher order.
Page 294 - Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference.
Page 76 - TABLE. 60 Seconds (sec.) . make 1 Minute, m. 60 Minutes " 1 Hour, h. 24 Hours
Page 74 - LIQUID MEASURE 4 gills (gi.) = 1 pint (pt.) 2 pints = 1 quart (qt...
Page 294 - Given the first term, last term, and common difference, to find the number of terms. RULE. — Divide the difference of the extremes by the common difference, and the quotient increased by 1 is the number of terms.
Page 36 - RULE. Annex as many ciphers to the multiplicand as there are ciphers in the multiplier, and the number so formed will be the •product.
Page 130 - Therefore, multiplying both terms of a fraction by the same number does not alter its value.