First book of arithmetic for the use of schools. [With] Key

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Σελίδα 82 - 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 83 - To reduce a fraction to its lowest terms. RULE. — Divide the numerator and denominator by any number that will measure them ; that is, that will divide them without a remainder. Do the same with the quotients as long as any number can be found to divide them.
Σελίδα 82 - To reduce an improper fraction to a whole or mixed number, — RULE : Divide the numerator by the denominator ; the quotient will be the whole or mixed number.
Σελίδα 21 - SIMPLE DIVISION. Division is the method of finding how often one number is contained in another. Case I — When the Divisor does not exceed 12. Divide 252 by 6.
Σελίδα 83 - Find a common measure, by dividing the greater term by the less, and this divisor by the remainder, and so on, always dividing the last divisor' by the last remainder, till nothing remains, the last divisor is the common measure.* 2. Divide both of the terms of the fraction by the common measure, and the quotients will make the fraction required. • *Tofmd the greatest common measure...
Σελίδα 98 - Reduce the fraction to its lowest terms, then extract the square root of the numerator for a new numerator, and the square root of the denominator for a new denominator.
Σελίδα 90 - DECIMAL FRACTIONS. A DECIMAL FRACTION is a fraction whose denominator is 10, 100, 1000, &c., or a unit with as many cyphers annexed to it as there are figures in the numerator.
Σελίδα 72 - COMMISSION is an allowance given to an agent or factor, for buying or selling goods, negotiating bills, &c. BROKERAGE is an allowance to a broker for procuring sales, transfers of property, &c. INSURANCE is an allowance, called premium, given to persons who engage to make good the loss of ships, merchandise, houses, &c., that may be lost or damaged by storms, fire, &c.
Σελίδα 83 - Divide the greater term by the less, and the divisor by the remainder, &c., as in finding the greatest common measure. Assume 1 for the numerator, and the first quotient for the denominator of the first approximate value. Multiply the terms of this fraction by the second quotient, and add 1 to the product of the denominator, for the second approximate value. For each...
Σελίδα 91 - Thus ,4-,, -fis^, -p^fa, are decimal fractions, and are usuaiiy written in this manner : -5, -25, -325, the numerators being omitted ; but a point is placed on the left hand to distinguish them from integers. In reading them the first is called 5-tenths, the second 25-hundredths, and the third 325-thousandths. When there are not so many figures in the numerator as there are cyphers in the denominator, as many cyphers as are necessary must be prefixed : thus y^—03 and ^=-003.

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