The Tutor's Assistant: Being a Compendium of Practical Arithmetic, for the Use of Schools Or Private Students ...[Printed and pub. by] H. Mozley, 1833 |
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Page 14
... carry the lens as so many ones to the next row ; proceed thus to the last row , un- der which set down the whole ... carry 1 ; 1 and 5 are 6 , and 7 are 13 , and 5 are 18 , and 7 are 25 , and 1 are 26 , and 7 are 33 , set down 3 and ...
... carry the lens as so many ones to the next row ; proceed thus to the last row , un- der which set down the whole ... carry 1 ; 1 and 5 are 6 , and 7 are 13 , and 5 are 18 , and 7 are 25 , and 1 are 26 , and 7 are 33 , set down 3 and ...
Page 15
... of the above example , say 2 , 3 , 7 , 10 , 15 ; set down 5 and carry 1 , & c . This method will tend both to quickness and precision . amongst them . property ? What was the aggregate amount ASSISTANT . ] 15 ADDITION OF INTEGERS .
... of the above example , say 2 , 3 , 7 , 10 , 15 ; set down 5 and carry 1 , & c . This method will tend both to quickness and precision . amongst them . property ? What was the aggregate amount ASSISTANT . ] 15 ADDITION OF INTEGERS .
Page 16
... carry one to the next figure of the subtrahend for the ten that was borrowed . PROOF . Add the Difference to the Subtrahend , and their sum will be the Minuend . ( 1 ) From 2714754 | ( 4 ) Take 1542725 271508300 | ( 7 ) 1000000000 ...
... carry one to the next figure of the subtrahend for the ten that was borrowed . PROOF . Add the Difference to the Subtrahend , and their sum will be the Minuend . ( 1 ) From 2714754 | ( 4 ) Take 1542725 271508300 | ( 7 ) 1000000000 ...
Page 17
... carry 1. - 1 and 6 are 7 , 7 from 4 I cannot ; borrow 10 , and 4 are 14 , 7 from 14 , 7 ; set down 7 and carry 1. - 1 and 4 are 5 , 5 from 5 , nothing ; set down ( 0 ) nought . - 0 from 6 , 6 ; set down 6.1 from 0 I cannot ; but 1 from ...
... carry 1. - 1 and 6 are 7 , 7 from 4 I cannot ; borrow 10 , and 4 are 14 , 7 from 14 , 7 ; set down 7 and carry 1. - 1 and 4 are 5 , 5 from 5 , nothing ; set down ( 0 ) nought . - 0 from 6 , 6 ; set down 6.1 from 0 I cannot ; but 1 from ...
Page 18
... carry the tens reserved : proceed thus till the whole is multiplied , and set down the last product in full . * 123 ... carry 2 ; 4 times 9 are 36 and 2 are 38 , set down 8 and carry 3 ; 4 times 0 ( nought ) and 3 are 3 , set down 3 ; 4 ...
... carry the tens reserved : proceed thus till the whole is multiplied , and set down the last product in full . * 123 ... carry 2 ; 4 times 9 are 36 and 2 are 38 , set down 8 and carry 3 ; 4 times 0 ( nought ) and 3 are 3 , set down 3 ; 4 ...
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Common terms and phrases
acres aliquot amount angle annuity annum Arithmetical avoirdupois Bernard Mason bill Bought breadth bushels carry Cash chord ciphers Circular Segments circumference Compound Interest crowns cube root debt decimal denominator denote diameter difference discount Divide dividend division divisor dwts equal EXAMPLE farthings feet 6 inches figures find the area fraction gallons given number greater gross guineas half hogsheads hundred Integer lease least common multiple length less London MEASURE miles moidore Mult multiplicand Multiply neat weight number of days number of terms ounce paid payable pence pieces pound sterling pounds present payment present worth principal purchase quantity quart quarters quotient rate per cent Reduce remainder rent shillings side Simple Interest sold square root square yard sterling subtract subtrahend supposed Table tare Theorems third thousand troy TROY WEIGHT Vulgar Fractions whole number yards of cloth yearly
Popular passages
Page 115 - The top of a castle from the ground is 45 yards high, and is surrounded with a ditch 60 yards broad ; what length must a ladder be to reach from the outside of the ditch to the top of the castle ? Ans.
Page 85 - To reduce a mixed number to an improper fraction, — RULE : Multiply the whole number by the denominator of the fraction, to the product add the numerator, and write the result over the denominator.
Page 168 - ... multiply the square of the diameter by ,7854 and the product will be- the area.
Page 124 - Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference.
Page 125 - Divide the difference of the extremes by the common difference, and the quotient increased by 1 is the number of terms.
Page 120 - EXAMPLES. 1. A schoolmaster, being asked how many scholars he had, said, If I had as many, half as many, and one quarter as many more, I should have 264: how many had he?
Page 165 - Multiply the sum of the two parallel sides by the perpendicular distance between them, and half the product will be the area.
Page vii - ... best to tread the old beaten Path, and to sweat at their Business when they may do it with Pleasure, may start an Objection against the Use of this well intended Assistant. Another author writes in more detail and lets us see more of the schoolroom technique and the reason for having printed texts : Having some time ago drawn up a set of rules and proper questions, with their answers annexed, for the use of my own school and divided them into several books, as well for more ease to myself as...
Page 84 - Hence the rule .for finding the greatest common divisor of two numbers : Divide the greater number by the less, and that divisor by the remainder, and so on, always dividing the last divisor by the last remainder, till nothing remain.
Page 176 - As three times three does three. But when ten years and half ten years We man and wife had been, Her age approached as near to mine As eight is to sixteen.