146. Mt. Washington is 9522 feet lower than Mt. Blanc How high is Mt. Washington?

147. How much does Olympus exceed a mile (5280 feet)? 148. How much does Vesuvius fall short of a mile?

149. How much does Pike's Peak exceed 2 miles? 150. If Vesuvius could be put upon Olympus, how much lower would its peak be than that of Mt. Blanc ?

151. Compare Mt. Blanc with Pike's Peak; state which is higher, and how much?

152. Compare also Mt. Olympus and Mt. Blanc.

153. How much higher than Mt. Everest is a balloon at a height of 32,786 feet?

154. The estimated height attained by Glaisher in 1862 was 37,000 feet. How much does this exceed 32,786 feet?

65. Miscellaneous Examples.

155. Out of a barrel of flour, 196 pounds, there were sold 14 pounds, 28 pounds, and 56 pounds. How much remained?

156. Two men start at the same place and ride in opposite directions around a park till they meet, one traveling 598.7 rods and the other 1746.8 rods. How many rods is it around the park?

157. Two vessels sailed from port by the same course at the same time. At the end of four days one had sailed 354 miles and the other 423 miles. How far apart were they?

158. John Adams and Thomas Jefferson died on the fiftieth anniversary of the Declaration of Independence. In what year did they die? Jefferson was born in 1743. How old was he when he died?

159. In 1850 my grandfather was 87 years old. In what year was he born? How old was he when the independence of the United States was declared?

160. A man owing $726.30 paid $93.75 of the debt in cash and $84 by check. How much did he then owe?

161. Having $675 in the bank, Mr. Black drew as follows: $37.50, $18.68, $125.87, and $48.63. How much money was left in the bank ?

162. Previous to a fire, the contents of a store were estimated to be worth $14,500; after the fire to be worth $5485.75; the difference was to be paid by an insurance company. How much was the company to pay?

163. By making part payment of a note, the interest upon it, which had been $125 a year, was reduced to $97.75. How much interest was saved by the payment?

164. A speculator bought a house for $3400, paid $1800 for repairs, and $545 for grading the lot, after which he sold it for $8000. Did he gain or lose, and how much?

165. The polar diameter of the earth is 7898.8809 miles. How much greater is the equatorial diameter, which is 7924.9111 miles?

166. In 1892 Paris contained 2,447,957 inhabitants, and London 1,773,495 more than Paris. How many inhabitants had London ?

167. In 1890 the United States numbered 62,622,250 inhabitants; of these, 5,067,130 males and 4,182,417 females were foreign born. How many were native born?

168. At the World's Fair in Chicago in 1893, the total attendance was 23,529,400; this was 8,824,711 less than the attendance at the Paris Exposition in 1889. What was the attendance at the Paris Exposition?

169. The salaries of clerks at the Chicago Fair amounted to $387,001.88; of officers, $323,685.48; of musicians, $128,674.85; of architects, $133,830.23. What was the

sum of all the salaries?

170. The largest day's attendance at each of three great World's Expositions was as follows: Paris, October 13, 1889, 397,150; Philadelphia, September 28, 1876, 217,526; Chicago, October 9, 1893, 729,203. What was the excess of Chicago's attendance over each of the others?

171. The sum of three numbers is 4875; one of the numbers is 255.6, and another is 25.58. What is the third number?

172. From the sum of 98.39 and 116.7, take their difference.

173. A cubic inch of mercury in a solid form weighs 0.567 of a pound, in liquid form, 0.078 of a pound less. What is the weight of a cubic inch in liquid form?

What is Subtraction? What is the minuend? The subtrahend? The remainder? Take orally 36 from 84. Find the difference between 469 and 5007, and explain. Give the rule; the proof. When the minuend and difference are given, how can you find the subtrahend? When the subtrahend and difference are given, how can you find the minuend?

*Dr. is read "debtor," and means that the sums written beneath are owed.

† Cr. is read "creditor," and means that the sums written beneath have been paid by the debtor or are due from him.

DRILL TABLE No. 2. (See Supplement, Art. 1.)

66. For supplementary practice in subtraction.

5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

178-189. In each line a, b, c, etc., from 100 take

m + n + o.

190-201. From each number in w, take 1728. 202-213. From 9234 take each number in w. 214–225. Take each number in x from 10,300. 226-237. Take each number in y from 1,234,567. 238-243. In w, take b from a; d from c, etc. 244-249. In x, take b from a; d from c, etc.

250-255. In y, take b from a; d from c, etc.

256-267. In each line a, b, c, etc., from x plus y take w.

SECTION IV.

MULTIPLICATION.

67. Illustrative Example. Find the number of days in 6 months of 31 days each.

68. When equal numbers are united by uniting at once the units of the same order, the numbers are said to be multiplied.

69. One of the equal numbers to be united is the multiplicand. The number that shows how many equal numbers are to be united is the multiplier. The result obtained by multiplying is the product.

70. Multiplication is the process of uniting equal numbers to find their product.

71. The multiplicand and multiplier are called factors (makers) of the product. The product is a multiple of the factors making it; thus, 15 is a multiple of 5 and of 3.

NOTE. The units of the product are of the same kind as the units of the multiplicand. Thus, if days are multiplied, the product is a number of days; if tens are multiplied, the product is a number of tens; if tenths are multiplied, the product is a number of tenths.