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
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Page xi
... Mixed Numbers , and the reverse , To reduce a Fraction to its lowest terms , General Rule for the Multiplication and Division of Fractions by Whole Numbers -- Whole Num- bers by Fractions -- Fractions by Fractions , · Multiplication of ...
... Mixed Numbers , and the reverse , To reduce a Fraction to its lowest terms , General Rule for the Multiplication and Division of Fractions by Whole Numbers -- Whole Num- bers by Fractions -- Fractions by Fractions , · Multiplication of ...
Page 46
... mixed number : Thus 153 is a mixed number . To prove this last question , we multiply the quotient into the divisor , and add to the product the numerator of the fraction , or the remainder , thus : 15 8 123 16. What is the quotient of ...
... mixed number : Thus 153 is a mixed number . To prove this last question , we multiply the quotient into the divisor , and add to the product the numerator of the fraction , or the remainder , thus : 15 8 123 16. What is the quotient of ...
Page 60
... mixed . QUESTIONS . 12. Fractions are of how many kinds , and what are they ? 13. In what do they differ ? 14. How is the unit divided in Decimal Fractions ? 15. What is always the denominator ? 16. In Vulgar Fractions , how is the ...
... mixed . QUESTIONS . 12. Fractions are of how many kinds , and what are they ? 13. In what do they differ ? 14. How is the unit divided in Decimal Fractions ? 15. What is always the denominator ? 16. In Vulgar Fractions , how is the ...
Page 61
... Mixed Fraction is one which has a fraction either in its numerator or denominator , or in both of them , thus : 61 ... mixed number ? 23. What is a mixed frac- tion ? 24. What is a common divisor , or common measure of two numbers ? 25 ...
... Mixed Fraction is one which has a fraction either in its numerator or denominator , or in both of them , thus : 61 ... mixed number ? 23. What is a mixed frac- tion ? 24. What is a common divisor , or common measure of two numbers ? 25 ...
Page 63
... Mixed Numbers , and Mixed EXERCISES IN FRACTIONS . 63 Common, or Vulgar Fractions, To reduce a Whole Number to Equivalent Fraction, having given denominator,
... Mixed Numbers , and Mixed EXERCISES IN FRACTIONS . 63 Common, or Vulgar Fractions, To reduce a Whole Number to Equivalent Fraction, having given denominator,
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.