A New System of Arithmetic, on the Cancelling Plan: Embracing the Rules of the Three, Single and Double, Direct and Inverse; Barter; Loss and Gain; Reduction; Multiplication and Division of Fractions; Exchange of Currencies; Interest; and All Proportional Questions in One Rule Applicable to the Whole. The Process Greatly Simplified and Abridged |
From inside the book
Results 1-5 of 60
Page v
... bushels by pecks . To multiply the dividend by 4 reduces it to fourths , and multiplying the denominator by 3 divides the fraction It will be perceived that this process corresponds with the ordi- nary process of inverting divisors . By ...
... bushels by pecks . To multiply the dividend by 4 reduces it to fourths , and multiplying the denominator by 3 divides the fraction It will be perceived that this process corresponds with the ordi- nary process of inverting divisors . By ...
Page 26
... bushels of grain in 3 boxes ; in the first , 200 bushels ; in the second , 50 ; in the third , 2 . He sells to A 100 bushels ; to B 60 ; to C 1. How many has he left ? 252 = 200 + 50 + 2 He may take one bushel from 161 = 100 + 60 + 1 ...
... bushels of grain in 3 boxes ; in the first , 200 bushels ; in the second , 50 ; in the third , 2 . He sells to A 100 bushels ; to B 60 ; to C 1. How many has he left ? 252 = 200 + 50 + 2 He may take one bushel from 161 = 100 + 60 + 1 ...
Page 27
... bushels from the largest box , there remains but 100 ; therefore , 100 from 100 , or 1 from 1 , and nothing remains . Whenever , therefore , the lower figure exceeds the upper , we take 1 from the next left hand column of the upper line ...
... bushels from the largest box , there remains but 100 ; therefore , 100 from 100 , or 1 from 1 , and nothing remains . Whenever , therefore , the lower figure exceeds the upper , we take 1 from the next left hand column of the upper line ...
Page 31
... bushel of wheat cost 2 dollars , how many dol- lars will 8 bushels cost ? how many will 9 EXAMPLES IN MULTIPLICATION . 31 Subtraction of Fractions,
... bushel of wheat cost 2 dollars , how many dol- lars will 8 bushels cost ? how many will 9 EXAMPLES IN MULTIPLICATION . 31 Subtraction of Fractions,
Page 32
... bushel of potatoes cost 32 cents , what will 3 bushels cost ? what will 4 ? what will 6 ? 12. If a steam - boat sail 8 miles in one hour , how many will she sail in 12 hours ? The scholar should commit to memory the following TABLE ...
... bushel of potatoes cost 32 cents , what will 3 bushels cost ? what will 4 ? what will 6 ? 12. If a steam - boat sail 8 miles in one hour , how many will she sail in 12 hours ? The scholar should commit to memory the following TABLE ...
Common terms and phrases
12 hours long 12 rods acres amount Answer barrel barter bought bushels called cancelling ciphers circumference cloth cost column common difference compound interest contained cords cube root currency decimal fraction denominator diameter discount divided dividend Division divisor dollars dominical letter equal EXAMPLES factors farthings federal money feet foot frac gain gallons given number guineas horse hundred hundredths improper fraction inches least common multiple length less merator miles mixed number months multiplicand multiply New-England NOTE number of terms Operation paid pence perpendicular pound present worth PROB produced term Proportion quantity QUESTIONS quotient ratio receive Reduce remainder right hand rods shillings side sold solid square root subtract tens tenths thousandths tion Troy Weight unit's place units vulgar fraction weight whole number write yard cost yards of cloth
Popular passages
Page 103 - 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 41 - The number to be divided is called the dividend. The number by which we divide is called the divisor.
Page 221 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 208 - Multiply each payment by the time at which it is due; then divide the sum of the products by the sum of the payments, and the quotient will be the equated time, nearly.
Page 97 - TABLE. 10 Mills =1 Cent. 10 Cents =1 Dime. 10 Dimes =1 Dollar. 10 Dollars =1 Eagle.
Page 307 - America, to be paid to the said or his certain attorney, executors, administrators, or assigns: to which payment well and truly to be made, I bind myself, my heirs, executors, and administrators, firmly by these presents.
Page 270 - ... above the upper deck ; the breadth thereof at the broadest part above the main wales, half of which breadth shall be accounted the depth of such vessel, and...
Page 85 - Divide by any number that will divide two or more of the given numbers without a remainder, and set the quotients, together with the undivided numbers, in a line beneath.
Page 251 - 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 223 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.