## Practical Arithmetic, by Induction and Analysis, Book 3 |

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acres amount annexed apples Arithmetic barrels bought bushels cancel ciphers cloth common fraction composite number Compound Numbers contained cost cube root cubic denominator denotes diameter difference discount dividend dollars Dry Measure equal exactly divide expressed feet figure find the Int find the interest gain gallons Give examples given number greatest common divisor Hence hundred hundredths improper fraction inches least common multiple lowest terms mills mixed number multiplicand multiply number of terms operation oranges payment pecks pints pounds prime factors principal proper fraction proportion quarts quotient rate per cent ratio reduce remainder Rule side simple fraction Simple Numbers sold solid contents Solution.—Since square root subtract tens tenths third thousand thousandths TROY WEIGHT U. S. Money weight whole number write yards

### Popular passages

Page 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,

Page 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.

Page 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.

Page 198 - In any proportion, the product of the means is equal to the product of the extremes.

Page 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.

Page 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.

Page 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...

Page 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.

Page 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.

Page 146 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.