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

### From inside the book

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**annex**a cipher ( 40 , ) and it is forty ; another cipher ( 400 , ) and it is four hundred . Hence figures have a local as well as simple value ; and the local value depends on the distance of the figure from the right hand , or place of ... Page 21

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**annex**four ciphers , the number neglected in the two factors . 2. Multiply 461200 by 72000 . 4 6 1 2 7 2 3. Multiply 5036000 by 70300 . 5536 703 Prod . 3 3 2 0 6 4 0 0 0 0 0 Prod . 3 5 4 0 3 0 8 0 0 0 0 0 is plain that 3 times 6 are the ... Page 22

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**Annex**as many ciphers to the multiplicand as there are nines in the multiplier , and from the sum thus produced , subtract the multi- plicand , the remainder will be the product . 1. Multiply 478 by 99 . 478 00 EXAMPLES . 2. Multiply ... Page 24

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**annex**as many ciphers as there are places in the dividend , at the right hand of the part employed in obtaining that quotient figure ; but as a figure is added to the quotient for each figure brought down in the dividend , at the last ... Page 64

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**Annex**a cipher to the numerator , and divide it by the denominator ;**annex**a cipher to the remainder , and divide as before , and so on ; the quotient will be the decimal required . * 1. Reduce to a decimal . 4 ) 3.0 ( .75 Ans . 28 ...### 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

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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.

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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.