# An Elementary Arithmetic Serving as an Introduction to the Higher Arithmetic

H. H. Hawley & Company, 1850 - Arithmetic - 347 pages
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### Contents

 Numeration 9 Subtraction of Simple Numbers 27 Proof of Multiplication 42 Proof of Division 56 Reduction of Vulgar Fractions 69 Least Common Multiple 83 Reciprocals of Numbers 97 Federal Money 111
 Compound Proportion 214 Percentage 222 Interest by Aliquot Parts 228 Interest when time is Estimated in Days 234 Discount 246 Banking 250 Insurance 257 Double Fellowship 264

### Popular passages

Page 70 - Then multiply all the numerators together for a new numerator, and all the denominators together for a new denominator...
Page 103 - When a decimal number is to be divided by 10, 100, 1000, &c., remove the decimal point as many places to the left as there are ciphers in the divisor, and if there be not figures enough in the number, prefix ciphers.
Page 99 - To multiply a decimal by 10, 100, 1000, &c., remove the decimal point as many places to the right as there are ciphers in the multiplier ; and if there be not places enough in the number, annex ciphers.
Page 228 - The rule for casting interest, when partial payments have been made, is to apply the payment, in the first place, to the discharge of the interest then due. If the payment exceeds the interest, the surplus goes towards discharging the principal, and the subsequent interest is to be computed on the balance of principal remaining due. If the payment be less than the interest, the surplus of interest must not be taken to augment the principal; but interest continues on the former principal until the...
Page 320 - To find the area of a trapezoid. RULE. Multiply half the sum of the two parallel sides by the perpendicular distance between them : the product will be the area.
Page 273 - That is, the square of the sum of two numbers is equal to the square of the first number, plus twice the product of the two numbers, plus the square of the second number.
Page 332 - A can do a piece of work in 3 days, B in 4 days, and C in 5 days, how many...
Page 100 - Divide as in whole numbers ; give as many decimal places in the quotient as those in the dividend exceed those in the divisor ; if there are not as many, supply the deficiency by prefixing ciphers.
Page 99 - In multiplication of decimals, we know that the number of decimal places in the product is equal to the sum of those in both the factors.
Page 44 - DIVISION we find how many times one number is contained in another. The number to be divided, is called the DIVIDEND ; the number by which to divide is called the DIVISOR; the number of times the dividend contains the divisor is called the QUOTIENT.