# First book of arithmetic for the use of schools

William Collins, Sons, & Company, 1850 - Arithmetic - 143 pages
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### Contents

 Section 1 15 Section 2 45 Section 3 79
 Section 4 88 Section 5 97 Section 6 115

### Popular passages

Page 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.
Page 7 - Thirty days hath September, April, June, and November ; All the rest have thirty-one, Except the second month alone, Which has but twenty-eight, in fine, Till leap year gives it twenty-nine.
Page 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.
Page 6 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
Page 94 - Case I. — To reduce a vulgar fraction to a decimal. RULE — Divide the numerator by the denominator ; annexing as many cyphers to the numerator as may be necessary. Point off' as many decimal places in the quotient, as there were cyphers annexed to the numerator.
Page 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...
Page 6 - LIQUID MEASURE 4 gills (gi.) = 1 pint (pt.) 2 pints = 1 quart (qt...
Page 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.
Page 26 - Ireland is about eight millions, and there are about 30,000 square miles of surface ; how many persons to each mile? 98. The earth is about 95 millions of miles distant from the sun; how many days would a horse take in reaching the sun, supposing he went at the rate of 45 miles per day ? 99. The rays of light come from the sun to the earth in 8£ minutes, or 495 seconds ; at what rate does light move per second, the distance from the sun to the earth being 851 73000 miles?
Page 84 - ... multiply each numerator by all the denominators, except its own, for a new numerator, and under it write the common denominator.