Watson's Tutor's assistant; or, Complete school arithmetic
Simpkin, Marshall,, 1845 - 12 pages
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18 inches 2qrs 3qrs acres added amount answer base Bought breadth broad called cent chord circle circumference cloth common COMPOUND contains cost cube root cubic cyphers decimal denominator describe diameter difference discount distance Divide dividend division divisor equal EXAMPLES EXERCISES farthings feet field figure Find the area Find the interest foot gain gallons girt given gives greater guineas half hand height hour inches interest length less lowest mean MEASURE method miles months Multiply pence perpendicular person piece pounds principal PROBLEM proportion quantity quarters quotient radius ratio Reduce remainder right angled RULE RULE.-Multiply segment selling shillings side sine sold square root subtract surface third triangle units vulgar fraction weeks whole worth yards
Page 97 - To reduce a mixed number to an improper fraction. RULE. Multiply the whole number by the denominator of the fraction, and to the product add the numerator for a new numerator, and place it over the denominator. 1. Reduce 127 T \ to an improper fraction.
Page 97 - RULE. Multiply all the numerators together for a new numerator, and all the denominators for a new denominator: then reduce the new fraction to its lowest terms.
Page 53 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.
Page 7 - Three lines are in harmonical proportion, when the first is to the third, as the difference between the first and second, is to the difference between the second and third ; and the second is called a harmonic mean between the first and third. The expression 'harmonical proportion...
Page 60 - ... but if the blank fall under the first or second term, the proportion is inverse ; then multiply the third and fourth terms together for a divisor, and the other three for a dividend, and the quotient will be the answer. EXAMPLES.
Page 14 - FOR ADDITION. I. Write the numbers to be added, under each other ; so that units may stand under units, tens under tens, &c.
Page 121 - RULE. 1. Separate the given number into periods of three figures each, beginning at the units place.
Page 22 - Multiply the integer of the quotient by the divisor, and to the product add the remainder, if any ; and the result will equal the dividend, if the work is right.
Page 155 - From three times the diameter of the sphere, take double the height of the segment ; then multiply the remainder by the square of the height, and...
Page 96 - 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.