## The Youth's Assistant in Theoretick and Practical ArithmeticD. Watson, 1826 - 164 pages |

### From inside the book

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Page iii

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**examples**has been much in- creased , several new notes have been added , the part on Mental Arithmetick has been enlarged , and a short but comprehensive system of Book - Keeping by Single Entry has been introduced . New rules have also ... Page 14

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**EXAMPLE**. 16423 21230 90418 128071 Exce 7 4 - 1 Here the excess of the first line is 7 , the second 8 , the third 4 , and the sum of the excesses is 19. Then casting the 9's out of 19 , and also out ...**Examples**. 14 SIMPLE ADDITION . Page 15

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**example**, the student will find but little difficulty in working the**examples**which follow . 2 . 16423 5 . 1234567 3 . 4 . 3214 8642 21230 1032 3124 7 6 5 4 3 2 1 90418 35 21 4213 1 2 3 4 5 6 7 1 2 8071 Ans . 11164 8 . 12.8071 Proof . 6 ... Page 17

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**Examples**. 1. From 6485 subtract 4293 . 6485 Minuend . Having placed the numbers as the rule directs , Subtrahend . 4293 begin at the right hand , and say , 3 from 5 there remains 2 , which write down , and proceed to the next figure ... Page 20

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**Examples**. 1. Multiply 376 by 4 . 376 Here 4 times 6 is 24 , 4 which being 2 tens and 4 over , write down the 4 and 1504 say 4 times 7 is 28 and 2 carried , is 30 ; write a ci- 2. Multiply 43 by 25 . OPERATION . 4 3 PROOF . 25 25 4 3 ...### Common terms and phrases

2qrs additions amount annex answer Arithmetick barrel bush bushels called Cash cents ciphers circumference column composite number cube root currency day-book diameter different denominations dimes divide dividend Division divisor dollars DRY MEASURE equal Examples expressed Federal Money feet gallon given number given sum given to find half hence hundred improper fraction inches least common multiple left hand length less measure method of proof miles mills minuend mixed number moidore months multiplicand Multiply nine number of terms payment pence and farthings pound by inspection present worth principal proceed proportion quantity QUESTIONS Reduce remainder right hand rods Rule of Three RULE.-Multiply separatrix shillings side Simon Pond simple interest square root subtract subtrahend sugar supposed tare third term tion trett TROY WEIGHT velocity Vulgar Fraction weight whole number write yards cost

### Popular passages

Page 163 - I am lawfully seized in fee of the premises ; that they are free of all incumbrances ; that I have good right to sell and convey the same to the said David to hold as aforesaid.

Page 164 - He shall not waste the goods of his said Master nor lend them unlawfully to any.

Page 128 - 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 65 - ... second and third places ; observing to increase the second place by 5, if the shillings be odd, and the third place by 1, when the farthings exceed 12, and by 2 when they exceed 37.

Page 162 - I do covenant with the said Elvin Fairface, his heirs and assigns, that I am lawfully seized in fee of the afore granted premises: That they are free of all incumbrances : That I have good right to...

Page 104 - Multiply each payment by its term of credit, and divide the sum of the products by the sum of the payments ; the quotient will be the average term of credit.

Page 55 - To reduce fractions of different denominators to equivalent fractions having a common denominator. RULE.! Multiply each numerator into all the denominators except its own for a new numerator, and all the denominators together for a common denominator.

Page 127 - ... the terms, RULE. Multiply the sum of the extremes by the number of terms, and half the product will be the sum of the terms.

Page 161 - States for the district of , in the full and just sum of dollars, to be paid to the said , his executors, administrators, or assigns, to which payment, well and truly to be made, we bind ourselves, our heirs, executors, and administrators, jointly and severally, by these presents. Signed and sealed this day of , AD 189—.

Page 98 - DISCOUNT. DISCOUNT is an allowance made for the payment of any sum of money before it becomes due ; and is the difference between that sum due some time hence, and its present worth. The present worth of any sum, due some time hence, is such a sum, as, if put to interest, would in that time, and at the rate per cent.