## Higher Arithmetic: Or, The Science and Application of Numbers: Combining the Analytic and Synthetic Modes of Instruction ; Designed for Advanced Classes in Schools and Academies |

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acres added amount Analysis annexed answer assessed bank bill bought bushels called carry cent ciphers commission common fraction compound consequently contains cost cube cubic decimal denominator difference discount Divide dividend division divisor dollars dolls duty equal example expressed factors Federal Money feet figure gain gallons gals given number greater hand Hence hundred hundredths inches insured interest length less loss lower manner mean measure method miles mills mixed mixture months multiplicand Multiply Operation paid payable pence period pound present principal proceed proportion quantity quotient ratio reason received Reduce remainder rods root rule selling shillings sides simple sold square subtract term third thousandths units weight whole number wine worth Write yard

### Popular passages

Page 371 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.

Page 239 - ... dividend, as many places to the left as there are ciphers in the divisor.

Page 99 - The greatest common divisor of two or more numbers, is the greatest number which will divide them without a remainder. Thus 6 is the greatest common divisor of 12, 18, 24, and 30.

Page 368 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.

Page 76 - In the same manner it may be shown, that removing two ciphers from the right of a number, divides it by 100; removing three, divides it by 1000 ; removing four, divides it by 10000, &c.

Page 206 - RULE. Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.

Page 261 - 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 period when the payments, taken together, exceed the interest due...

Page 316 - ... multiplying or dividing both the numerator and denominator by the same number, does not alter the value of the fraction.

Page 50 - Multiplying ly any whole number, is taking the multiplicand as many times, as there are units in the multiplier.

Page 108 - An improper fraction is one whose numerator is equal to, or greater than its denominator ; as, •f , if.