When the multiplier is exactly equal to any two figures in the multiplication table. RULE: Multiply first by one of those figures, and that product by the other, and the last product will be the answer. To multiply by 10, 100, 1000, &c., annex to the multiplicand all the ciphers in the multiplier, and it will be the product required. 96. John was employed by a gentleman 67 days, for which he received 18 cents a day; how many cents did his wages amount to? Ans. 1206. 97. A man has 4 horses, each horse has 4 shoes, and each shoe has 8 nails; how many nails are there in all their shoes? Ans. 128. 98. If 32 quarts make 1 bushel, how many quarts are there in 15 bushels? Ans. 480. 99. If 112 pounds make one hundred weight (gross), how , many pounds would there be in 17 hundred weight? Ans. 1904. 100. If 60 minutes make an hour, how many minutes are there in 1124 hours? Ans. 67440. 101. If a man should travel 247 days, at the rate of 38 miles a day, how many miles would he travel in that space of time? Ans. 9386. 102. If a company of 98 men should receive 46D. each, as their wages, how much would they all receive? Ans. 4508D. 103. What is the product of 8505×64? Ans. 544320. 104. What sum of money must be divided among 500 men, so that each man may receive 20D.? Ans. 10000D. 105. If it requires 5768 shingles for the roof of a house, how many would it require for 16 houses? Ans. 92288. 106. If it takes 3242 bricks to build a house, how many will it take for 240 houses? Ans. 778080. 107. There are 4 houses, each house has 22 windows, and each window has 16 panes of glass; how many panes of glass in the 4 houses? Ans. 1408. 108. In a certain town there are 572 houses, in each house 6 rooms, and in each room 7 persons; required the number of persons. Ans. 24024. 109. What is the product of 47865378×13402? Ans. 641491795956. ADDITION AND MULTIPLICATION. 110. A drover purchased 84 oxen for 54D. each, and 147 cows for 27D. each; how many cattle had he, and how much did they cost? Ans. 231 cattle, cost 8505D. 111. Multiply 46 by 11; 71×18; 36×42; add their sev. eral products together, and tell their amount. Ans. 3296. 112. A merchant purchased 7 pieces of carpeting, each piece containing 27 yards; and 4 pieces, each piece containing 18 yards; how many yards in all ? Ans. 261. SUBTRACTION AND MULTIPLICATION., 113. Multiply 617 by 45, from that product subtract 6784. Ans. 20981. 114. A man purchased 9 bags of salt, each bag weighed 231 pounds, and the sacks without the salt weighed 46 pounds; required the weight of salt without the sacks. Ans. 2033. 115. Multiply 47 by 16; 24 by 32; from their sum subtract Ans. 978. 542. 116. If there be 16 ounces in one pound, how many ounces in 3 pounds? in 5 pounds? in 8 pounds? in 11 pounds? in 129 pounds? 117. If 12 inches make 1 foot, how many inches in 13 feet? in 29? in 1700? 118. If 1 yard of riband cost 42 cents, how many cents will 17 yards cost? 24 yards? 66 yards? 114 yards? 750 yards? 119. If 24 hours make 1 day, how many hours in 4 days? in 1 week? 120. If 60 minutes make an hour, how many in 6 hours? in 96 hours? in 789 hours ? 121. At 42 cents a bushel, what will 315 bushels of corn cost? Ans. 13230. 122. If 63 gallons make a hogshead, how many gallons in 24 hogsheads? in 38? in 1974 ? 123. If you can earn 66 cents in a day, how much in 97 days? in 159? in 428? 124. If the velocity of a car on a railroad is 18 miles an hour, required the number of miles in 24 hours; 76 hours; 84 hours; 497 hours. REVIEW. What What is multiplication? What is the number to be multiplied called? What is the number to multiply by called? number is written down first? How must the multiplier be set under the multiplicand? What is the result or answer called? How many times larger is the product than the multiplicand? Where do you begin to multiply? Why do you begin to multiply at the right hand figure? How do you place the first product figure of each line? What rule does multiplication shorten? How many numbers are given in multiplication? How many numbers are required? By what name are multiplier and multiplicand together called? Repeat the rule when the multiplier does not exceed 12. When the multiplier exceeds 12, what is the rule? How do you prove multiplication? Repeat the multiplication table. 125. If 250 men can do a piece of work in 218 days, how many days will it require for 1 man to do the same? Ans. 54500 126. What will 100 bushels of corn cost at 95 cents a bushel? Ans. 9500 cts. 127. What will 1000 bushels of apples cost at 50 cents a bushel ? 128. Multiply 62123 by 13. 129. 4078945 × 16= 130. Multiply 9876543210 by 970845. SHORT DIVISION. Ans. 50000 cts. Ans. 807599 Ans. 65263120, DIVISION teaches to divide a larger number, by a less, into equal parts, and is a short method of performing a number of subtractions; thus, if we wished to divide 25D. between 5 men, instead of subtracting 5 from 25 five times, we would divide 25 by 5, which would give 5D. for the answer, being the share of each man, because 5 is contained in 25 just 5 times, and 5X5=25. There are four parts in Division that require attention, namely Dividend, Divisor, Quotient, and Remainder. 1. Dividend. The number given to be divided, which is always more than the divisor. 2. Divisor. The number given by which the dividend is to be divided. 3. Quotient. That which gives the number of times the divisor is contained in the dividend, which is also the answer. 4. Remainder. That which remains after all the figures have been brought down from the dividend, and the last subtraction performed (if any remain) will be of the same denomination with the dividend, and always less than the divisor. When the divisor does not exceed 12. RULE. 1. Write down the dividend, and draw a curve line at the left hand side, and a straight line under the dividend, and place the divisor at the left hand of it; thus: Divisor 9)81 dividend. 9 quotient. 2. Consider how many times the divisor is contained in the first figure or figures of the dividend, and set down the result, observing whether there be any remainder, and, if any, carry it to the left of the next figure, and consider it placed there as so many tens, into which divide as before, &c.; but if no remainder, see how many times the divisor is contained in the next figure. Proof.-Multiply the quotient by the divisor, and add in the remainder, if any, and the product will agree with the dividend, if the operation has been correctly performed. |