## 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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### Common terms and phrases

acres amount Analysis.—Since annex answer required Arithmetic barrels bbls bought bushels called cancel ciphers common fraction composite number compound numbers contained cost cubic denotes difference discount Divide the given dividend division dollars dolls duodecimal equal expressed f of f Federal Money feet Find the least gallons gals given fractions given number greater greatest common divisor Hence hundred hundredths improper fraction inches insured interest least common denominator least common multiple less number lowest terms measure miles mills mixed number months multiplicand Multiply notation number of terms numerator and denominator odd number Operation partial product payable pence period pound present worth prime factors prime number principle proportion quantity quotient radix ratio Reduce f remainder rods rule shillings simple fraction sold subtract third thousandths Troy weight units weight whole number 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 113 - To reduce an improper fraction to a whole, or mixed number. Divide the numerator by the denominator, and the quotient will be the whole, or mixed number required.

Page 113 - To reduce a mixed number to an improper fraction. Multiply the whole number by the denominator of the fraction, and to the product add the given numerator.

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 261 - 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.

Page 263 - Compute the interest to the time of the first payment ; if that be one year or more from the time the interest commenced, add it to the principal, and deduct the payment from the sum total. If there be after payments made, compute the interest on the balance due to the next payment, and then deduct the payment as above; and in like manner from one payment to another, till all the payments are absorbed; provided the time between one payment and another be one year or more.

Page 66 - The number to be divided is called the dividend. The number by which we divide is called the divisor.

Page 270 - Finally, subtract the given principal from the last amount, and the remainder will be the compound interest.

Page 394 - These are usually accounted six in number, viz. the Lever, the Wheel and Axle, the Pulley, the Inclined Plane, the Wedge, and the Screw.

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.