## University Arithmetic: Embracing the Science of Numbers, and General Rules for Their Application |

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### Common terms and phrases

acres altitude amount ANALYSIS.—The Arithmetic barrels of flour base bill bought bushels called cash cents a pound ciphers common denominator common fraction composite number compound containing continued fraction cords Cube root cubic inches decimal places denoting diameter discount Divide Divide Divide dividend division dollars equal Examples excess of 9's expressed figures foot fractional unit gain gallons greatest common divisor hence hogsheads hundred improper fraction interest least common multiple length longitude measure merchant Metric system miles mixed numbers months multiplicand Multiply number of terms OPERATION ounces paid payment premium prime factors proportional quotient ratio receive reckoned Reduce remainder repetend rods Rule sell share shillings sold specific gravity square root subtract sugar thousand Troy weight weight whole number worth write yards of cloth

### Popular passages

Page 177 - 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 106 - Divide the product of the remaining factors of the dividend by the product of the remaining factors of the divisor, and the result will be the quotient.

Page 145 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.

Page 335 - Take three times the square of the root just found for a divisor, and see how often it is contained in the dividend, and place the quotient for a second figure of the root. Then cube the figures of the root thus found, and if their cube be greater than the first two periods of the given number, diminish the last figure ; but if it be less, subtract it from the first two periods, and to the remainder bring down the first figure of the next period, for a new dividend.

Page 113 - Divide the less number by the remainder, the last divisor by the last remainder, and so on, till nothing remains. The last divisor will be the greatest common divisor sought.

Page 109 - The Least Common Multiple of two or more numbers is the least number which is a multiple of each of them; thus, 12 is the least common multiple of 2, 3, and 4.

Page 326 - 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. 5. Double the whole root already found for a new divisor, and continue the operation as before, until all the periods are brought down.

Page 280 - RULE. Divide the given sum by the amount of $1. for the given rate and time ; and the quotient will be the present worth.