# The science and art of arithmetic, by A. Sonnenschein and H.A. Nesbitt. Answers to the exercises

1870 - 164 pages

### Contents

 VULGAR FRACTIONS 1 CONVERGING FRACTIONS 97 THE METRIC SYSTEM 111 RECURRING DECIMALS 117 PROPERTIES OF DECIMALS 145 DECIMALIZATION OF MONEY 157
 DECIMALIZATION OF WEIGHTS AND MEASURES 165 SQUARE AND CUBE ROOT 200 VARIOUS 218 ARITHMETICAL COMPLEMENTS 232 MISCELLANEOUS EXAMPLES 240

### Popular passages

Page 105 - When a decimal number is to be divided by 10, 100, 1000, &c., remove the decimal point as many places to the left as there are ciphers in the divisor, and if there be not figures enough in the number, prefix ciphers.
Page 103 - 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 47 - Square Measure 144 square inches = 1 square foot 9 square feet = 1 square yard...
Page 104 - Now a product must have as many decimal places as there are in the multiplier and multiplicand both.
Page 88 - If 15 pumps, working 8 hours a day, can raise 1260 tons of water in 7 days, how many pumps, working 12 hours a day, will be required to raise 7560 tons of water in 14 days ? (6) If 24,000 yds.
Page 256 - The mint price of gold is £3. 17s. 10Jd. per oz. standard. Find the smallest exact number of ounces that can be coined into an exact number of sovereigns. (221) Find the weight of a cubical mass of iron whose edge is 2 ft., 5 in., 3 pts., if the iron is 7'157 times as heavy as water, and a cubic foot of water weighs 1000 oz.
Page 208 - ... side. By means of these properties, it follows that two sides of a right.angled triangle being given, the third side can be found. EXAMPLES. 1. How long must a ladder be, to reach to the top of a house 40 feet high, when the foot of it is 30 feet from the house ? In this example, it is obvious that the ladder forms the hypotenuse of a right-angled triangle, whose sides are 30 and 40 feet respectively.
Page 246 - What can he pay in the £, and what will a creditor lose on a debt of £57 ? (108) An estate with a rental of £8790 is sold for £351,600 In order that it may yield the purchaser 3f % for his money, how much % must he raise the rent ? (109) A square court-yard costs £38.
Page 57 - A person sells out his 3 per cent stock at 86 }, and gets \$34,000; he invests one half of this sum in 4 per cent stock at 97, and the remainder in 3J per cent stock at 94. Find the alteration in his income. 5. If 56 cubic feet 1044 cubic inches of timber are required to floor a room 29} feet by 25J feet, what is the thickness of the boards ? 108.
Page 51 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...