## Higher Arithmetic: Or, The Science and Application of Numbers; Combining the Analytic and Synthetic Modes of Instruction ... |

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### Common terms and phrases

acres amount Analysis annexed answer required antecedent Arithmetic avoirdupois bank discount barrels bbls bought bushels called canceling ciphers CIRCULATING DECIMALS common fraction composite number compound numbers consequently contained cost cube currency decimal figures denotes difference Divide the given dividend division dollars dolls Dry Measure duodecimals equal expressed farthings Federal Money gain gallons gals given fractions given number greatest common divisor Hence hhds hundred hundredths improper fraction insured interest of $1 least common denominator least common multiple less miles mills mixed number mixture months multiplicand Multiply number of days Operation partial product payable pence period pound premium present worth prime factors prime number principal proportion quantity quotient rate per cent ratio remainder rods shillings sold subtract thousandths Troy Troy weight units usury weight whole number yard

### Popular passages

Page 369 - 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 237 - ... dividend, as many places to the left as there are ciphers in the divisor.

Page 97 - 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 366 - 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 74 - 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 204 - 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 259 - 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 314 - ... multiplying or dividing both the numerator and denominator by the same number, does not alter the value of the fraction.

Page 48 - Multiplying ly any whole number, is taking the multiplicand as many times, as there are units in the multiplier.

Page 106 - An improper fraction is one whose numerator is equal to, or greater than its denominator ; as, •f , if.