The Progressive Practical Arithmetic: Containing the Theory of Numbers, in Connection with Concise Analytic and Synthetic Methods of Solution, and Designed as a Complete Text-book on this Science : for Common Schools and Academies |
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Page 8
... derived ? What are used to express numbers in the Roman notation ? What is the value of each ? What is the first principle of combination ? Second ? Third ? 4th . If a letter of any value be placed 8 SIMPLE NUMBERS .
... derived ? What are used to express numbers in the Roman notation ? What is the value of each ? What is the first principle of combination ? Second ? Third ? 4th . If a letter of any value be placed 8 SIMPLE NUMBERS .
Page 14
... third place , 0 in the second place , ( because there are no tens , ) and 3 in the place of units ; thus , 3 The greatest number that can be expressed by five figures is 99999 ; and by six figures , 999999 . EXAMPLES FOR PRACTICE ...
... third place , 0 in the second place , ( because there are no tens , ) and 3 in the place of units ; thus , 3 The greatest number that can be expressed by five figures is 99999 ; and by six figures , 999999 . EXAMPLES FOR PRACTICE ...
Page 15
... third second first period . period . period . period . period . period . period , period . period . How may figures be pointed off ? One million , how expressed ? Next period above millions , what ? Give the name of each successive ...
... third second first period . period . period . period . period . period . period , period . period . How may figures be pointed off ? One million , how expressed ? Next period above millions , what ? Give the name of each successive ...
Page 16
... third 66 " fourth 66 66 66 66 " fifth 66 Tens of thousands " 66 and so on . Thus , 452 contains 4 units of the third order , 5 units of the second order , and 2 units of the first order . 1,030,600 contains 1 unit of the seventh order ...
... third 66 " fourth 66 66 66 66 " fifth 66 Tens of thousands " 66 and so on . Thus , 452 contains 4 units of the third order , 5 units of the second order , and 2 units of the first order . 1,030,600 contains 1 unit of the seventh order ...
Page 17
... third place , hundreds ; in the fourth place , thou- sands ; and so on . 3d . As 10 units make 1 ten , 10 tens 1 hundred , 10 hun- dreds 1 thousand , and 10 units of any order , or in any place , make one unit of the next higher order ...
... third place , hundreds ; in the fourth place , thou- sands ; and so on . 3d . As 10 units make 1 ten , 10 tens 1 hundred , 10 hun- dreds 1 thousand , and 10 units of any order , or in any place , make one unit of the next higher order ...
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The Progressive Practical Arithmetic, Containing The Theory Of Numbers, In ... Horatio Nelson Robinson No preview available - 2019 |
Common terms and phrases
amount annex barrels of flour bought bushels of corn bushels of wheat cents a pound ciphers column common denominator common fraction composite number compound numbers contained cords of wood cost cube cubic discount Divide dividend and divisor division dollars dry measure equal exact divisor EXAMPLES FOR PRACTICE expressed feet following numbers following RULE fourths gain gallons Give explanation given numbers greatest common divisor Hence the following horses hundred improper fraction inches integers interest least common multiple less lowest terms merchant miles minuend mixed number months multiplicand Multiply notation NOTE obtain OPERATION paid payment prime factors principal proper fraction quotient rate per cent ratio receive Reduce rods root simple numbers sold square subtract subtrahend tens third thousand thousandths tons Troy weight units whole number worth write yards of cloth
Popular passages
Page 46 - The dividend is the number to be divided. The divisor is the number by which we divide.
Page 167 - 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 71 - The Greatest Common Divisor of two or more numbers is the greatest number that will exactly divide each of them. Numbers prime to each other are such as have no common divisor. NOTE. A common divisor is sometimes called a Common Measure; and the greatest common divisor, the Greatest Common Measure.
Page 50 - If any partial dividend will not contain the divisor, place a cipher in the quotient, and bring down the next figure of the dividend, and divide as before.
Page 93 - To reduce fractions to the least common denominator. The Least Common Denominator of two or more fractions is the least denominator to which they can all be reduced, and it must be the least common multiple of the lowest denominators.
Page 191 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Page 38 - RULE. I. Write the multiplier under the multiplicand, placing units of the same order under each other. II. Multiply the multiplicand by each figure of the multiplier successively, beginning with the unit figure, and write the first figure of each partial product under the figure of the multiplier used, writing down and carrying as in addition. III. If there are partial products, add them, and their sum will be the product required.
Page 165 - Pendulum vibrating Seconds of Mean Time in the Latitude of London in a Vacuum at the Level of the Sea is in the proportion of Thirty-Six Inches to Thirty-Nine Inches and one thousand three hundred and ninety-three ten-thousandth Parts of an Inch...
Page 66 - Divide the given number by any prime factor ; divide the quotient in the same manner, and so continue the division until the quotient is a prime number. The several divisors and the last quotient will be the prime factors required.
Page 193 - To find the difference of longitude between two places, when the difference of time is known. 1. If the difference of time between New York and Cincinnati be 41 min. 32 sec., what is the difference of longitude ? OPERATION. ANALYSIS. Since 4 minutes of time min. sec. make a difference of 1°...