# Practical Arithmetic, by Induction and Analysis, Βιβλίο 3

Winthrop B. Smith & Company, 1857 - 320 σελίδες

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### Περιεχόμενα

 Notation and Numeration 9 Compound Numbers 70 Factoring page 120 Greatest Common Divisor 126 Common Fractions 134 Reduction of Fractional Compound Numbers 171 Decimal Fractions 177 Ratio 195
 Percentage and its applications 212 Interest 220 Partnership 253 Equation op Payments 259 Exchange op Currencies 273 Arithmetical Progression 293 Permutation 299 Promiscuous Questions 314

### Δημοφιλή αποσπάσματα

Σελίδα 34 - It shows that the numbers between which it is placed, are to be multiplied together. Thus the expression 9x6, signifies that 9 and 6 are to be multiplied together, and is read, " 9 multiplied by 6," or, simply,
Σελίδα 187 - 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.
Σελίδα 145 - To reduce a mixed number to an improper fraction, — RULE : Multiply the whole number by the denominator of the fraction, to the product add the numerator, and write the result over the denominator.
Σελίδα 198 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 229 - 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.
Σελίδα 232 - 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.
Σελίδα 229 - 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, and then the surplus is to be applied...
Σελίδα 239 - The Present Worth of a debt, payable at a future time without interest, is such a sum as, being put at legal interest, will amount to the given debt when it becomes due.
Σελίδα 129 - Divide the greater number by the less, and that divisor by the remainder, and so on, always dividing the last divisor by the last remainder, till nothing remain.
Σελίδα 146 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.