### Contents

 Notation or Numeration 11 Multiplication 17 Division 23 Compound 30 Subtraction 44 Reduction 54 Division 68 Measures 89
 Single Rule of S Direct 104 Interest 124 Barter 141 Discount 169 Exchange 175 Alligation Alternate 197 Measuring 206 Miscellaneous Questions 235

### Popular passages

Page 210 - 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 3 - Swett of the said district has deposited in this office the title of a book, the right whereof he claims as author, in the words following, to wit : Historical and topographical Sketch of Bunker Hill Battle, with a Plan. By S. Swett. In conformity to the Act of the Congress of the United States...
Page 233 - Find the first figure in the root, by the table of powers, which subtract from the given number. 3. Bring down the first figure in the next point to the remainder, and call it the dividend. 4. Involve the root into the next inferior power to that which is given ; multiply it by the given power, and call it the divisor. 5. Find...
Page 209 - Multiply each numerator into all the denominators but its own for a new numerator. 2. Multiply all the denominators for a new denominator.
Page 212 - To г-educe the fraction of one denomination, to the fraction of another, but greater, retaining the same value. RULE 1.
Page 216 - To reduce any given quantity to the fraction of any greater denomination of the same kind. RULE. Reduce the given quantity to...
Page 212 - Reduce the giveji fraction to such a compound one, as will express the value of the given fraction^ by comparing it with all the denominations: between it and that denomination you would reduce it to ; lastly, reduce this compound fraction to -a single one, by Case V.
Page 21 - Multiply the whole number by the numerator of the fraction, and divide the product by the denominator ; or divide the whole number by the denominator of the fraction, and multiply the quotient by the numerator.
Page 213 - To reduce fractions from one denomination to another* of the same value, having the numerator of the required fraction given ; . RULE. As the numerator of the given fraction Is to the denominator; So is the numerator of the intended fraction To its denominator. i * Note. As the t...
Page 44 - ... as before. 3. Proceed in the same manner through all the denominations to the highest ; and the quotient last found, together with the several remainders...