MULTIPLICATION TABLE. I times 0 is, 0 4 times 0 are 017 times 0 are I times i is 1 4 times '1 are 47 times 1 are 7 1 times. 2 is 2. 4 times 2 are 817 times "2 aré 14 1 times 3 is: 34 times 3 are 12 7 times 3 are 21 1 times 4 is 4 4 times 4 are 167 times 4 are 28 1 times 5 is 5 4 times 5 are 20 7 times 5 are 35 1 times 6 is 6 4 times 6 are 24 7 times 6 are 42 1 times 7 is 74 times 7 are 28 7 times 7 are 49 1 times 8 is 8 4. times 8 are 32 7 times 8 are 56 1 times 9 is 9 4 times 9. are 36 7 times 9 are 63 1 times 10 is 101 4 times 10 are 407 times 10 are 70 1 times 11 is 11 4 times 11 are 441 7 times 11 are 77 1 times 12 is '12 4 times 12 are 4817 times 12 are 84 2 times 0 are 05.times 0 are 0 8 times 0 are 0 2 times 1 are 2 5 times I are 5 8 times 1 are 8 2 times 2 are 41 5 times 2 are 108 times 2 are 16 2 times 3 are 6 5 times 3 are 15 8 times 3 are 24 2 times 4 are 85. times 4 are 20 8 times 4 are 32 2 times 5 are 105 tinies 5 are 25 8 times 5 are 40 2 times 6'are 12 5 times 6 are 30 8 times 6 are 48 2 times 7 are 145 times 7 are 35 8 times 7 are 56 2 times 8 are 165 times 8 are 408 times 8 are 64 2 times 9 are 18 5 times 9 are 45 8 times 9 are 72 2 times 10 are 20 5 times 10 are 50! 8 times 10 are 80 2 times 11 are 22 5 times 11 are 55 8 times 11 are 88 2 times 12 are 24 5 times 12 are 60 8 times 12 are 96 3 times ( are 0 6 times 0 are 0 9 times, 0 are 0 3 times 1 are 36 times - 1 are 6 9 times I are 9 3 times 2 are 6 6 times' 2 are 12 9 times ? are 18 3 times 3 are 9 6 times 3 are 18 9 times 3 are 27 3 times 4 are 126 times 4 áre 24 9 times 4 are 36 3 times 5 are 15 6 times 5 are 30 9 times -5 are 45 3 times 6 are 18 6 times 6 are 36 9 times 6 are 54 3 times 7 are 21 6 times 7 are 42 9 times 7 are 63 3 times 8 are 24 6 times 8 are 48 9 times 8 are 72 3 times 9. are 27 6-times 9 are 54 9 times 9 are 81 3 times 10 are 30 6 times 10 are 601 9 times 10. are 90 3 times 11 are 33.6 times 11 are 66 9 times 11 are 99 3 times 12 are 36 6 times 1:2 are 72 9 times 12 are 108 10 times 0 are 0.11 times 0 are 0 12 times 0 are 0 10 times. 1 are 10 11 times 1 are 1112 times 1 are 12 10 times 2 are 2011 times 2 are 2212 times 2 are. 24 10 times. 3 are 30 11 times 3 are 33 12 times 3 are 36 10 times. 4 are 40'11 times 4 are 44 12 times 4 are 48 10 times 5 are 50 11 times 5 are 55 12 times 5 are 60 10 times 6 are 60 11 times 6 are 6612 times 6 are 72 10 times 7 arę 70'11 times 7 are 77 12 times, 7 are 84 10 times 8 are 80.11 times 8 are 88.12 times 8 are 96 10 times 9 are 90 11 times 9 are 99.12 times 9 are 108 10 times 10 are 100 11 times 10 are 110/12 times 10 are 120 10 times 11 are 11011 times 11 are 121 12 times 11 are 132 10 times 12 are 120 11 times 12 are 132 12 times 12 are 144 QUESTIONS SHOWING THE USE OF THE TABLE. many many ? 1X2 x 3= how many ? 1x6x9= how many ? 1x4 x 5= how many ? 1x9x12= how many ? 2x6x 5= how many ' ? 5x2x11= how many ? 3X4 9= how many ? 7x1x12= how many ? 4x3x11= how many ? 9X1 X 9= how many ? 5x2x 9= how many ? 11x1x 7= how many ? 6X2 X 5= how many ?. 12x1x 5= how many ? 1. What is the cost of 7 pounds of butter at 12 cents a pound? 2. What is the cost of 12 pounds of tea at 6 shillings a pound? 3. What is the cost of 12 pounds of coffee at 9 cents a pound? 14. What is the cost of 11 yards of cloth at 6 dollars a yard? 5. What is the cost of 9 books, at 11 cents each? 6. What is the cost of 12 pencils at 8 cents apiece ? 7. What is the cost of 10 pairs of shoes at 2 dollars a pair ? 8. What is the cost of 12 pairs of stockings at 3 shil. lings a pair? 9. What is the cost of 11 hens at 12 cents apiece ? 10. What is the cost of 12 inkstands at 12 cents apiece? 11. What is the cost of 9 pairs of shoes at 10 shillings a pair ? 12. What is the cost of 9 chairs at 6 dollars apiece ? 13. What is the cost of 7 yards of cloth at 8 dollars a yard ? а 14. What is the cost of 9 handkerchiefs at 7 shillings apiéce ? 15. How many dollars must I pay for 9 yards of cloth at 8 dollars a yard ? 16. If 5 bushels of wheat make one barrel of flour, how many bushels will it take to make 8 barrels 17. There are nine rows of apple-trees in a field, and 11 apple-trees in each row: how many apple-trees are there in the field ? 18. If I can earn 5 dollars in one month, how much can I earn in 3 months? In 4? In 5 ? In 9 ? In 11 ? In 12 ? 19. If a father gathers 12 bushels of corn in a day, and his son' 8, how much would'each gather in 3 days ? In 5 ? In 7 ? In 9 ? In 10 ? In 12 ? 20. A man hires a horse and sleigh ; he pays 12 cents a mile for the "horse, and 7 cents for the sleigh : after riding 12 miles how much must he pay for them both ? 21. If a man eats 11 ounces of bread in a day, and his wife 9, how much will each eat in 11 days ? How much will they both eat in that time? 22. Jane bought 12 yards. of riband at 8 cents a yard, and Mary 11 yards at 7 cents a yard: how much did each pay, and how much was paid by both of them ? 23. A. merchant bought 7 pieces of cloth, each con 7 taining 12 yards; and 9 other pieces, each containing 11 yards; how many yards in each lot, and how many yards in all? 24. What is the product of 3 tens multiplied by 5 ? Of 6 tens multiplied by 2 ? 25. What is the product of one unit of the third order multiplied by 2? By 3 ? By 4? 26. A man buys 12 sheep at 3 dollars apiece, and sells them at 2 dollars apiece : how much does he lose ? 27. John bought 6 tops at 8 cents apiece, 3 knives at 30 cents each, and 11 quills at a penny a piece: what did he pay for all ? 28. A merchant bought 8 packages of penknives, each package containing 12 knives; 9 other packages, each containing 11 knives, and 7 other packages, each containing 5 knives: how many knives in each package, and how many in all of them? EXAMPLES ILLUSTRATING-PRINCIPLES. 22. Let it be required to multiply 4 by 3, and also to multiply 5 by 3. OPERATION. OPERATION. From these examples we see, that the product of 4 multiplied. by 3 is. 12, the number which arises from adding three 4's together; and that the product of 5 by 3 is equal to 15, the number which arises from adding three 5's together. We see from, the above examples, that any product may be found by setting down the multiplicand as many times as there are units in the multiplier, and adding all the numbers together. MULTIPLICATION is therefore a short method of addition. 22. How may any product be found? How then may multipli. cation be considered ? 12' tens. 23. Let it be required to multiply 236 by 4, It is required to take 236, 4 times. Now 236 is made up of 6. units, 3 tens, and 2 hundreds, and the units of each order must be taken 4 times. First, set down the 236; then writé OPERATION. the 4 under the units' place and draw 236 a line beneath it. Next, multiply the 4 6 by 4:--the product is 24 units; set 24 units. them down. Then multiply the 3 tens by 4: the product is 12 tens; set down 8 hundreds the 2 in the tens” place, leaving the 1 to the left, in the place of hundreds. 944 Product. Next multiply the 2 by 4: the product is 8, which being hundreds, is set down under the 1. The sum of these numbers, 944, is the entire product. The product can also be found thus : say 4 times 6 are 24 : set down the 4, OPERATION, and then say, 4 times 3 are 12 and 2 236 to carry are 14: set down the 4, and 4 then say, 4. times 2 are 8 and 1 to 944 carry are 9. Set down the 9, and the product is 944 as before. Hence, we see that, if units of any order be multiplied by simple units, the unit of the product will be of the same order as that expressed by the figure of the multiplicand. 24. Let it be required to multiply 506 by 302. In this example, we say, 2 times 6 OPERATION. are 12: then set down the 2, and say, 506 2 times 0 are 0 and 1 to carry make 1. 302 Then say, 2 times 5 are 10. Then beginning with the 0, we say, 0 times 1012 6 is 0 : set down the 0. Then say, 000 0 times 0 is 0, and 0 times 5 is 0. 1518 Then multiply by the 3 hundreds, and 152812 set down the first figure 8- in the place of hundreds, and place the other figures to the left. 23. If the number 236 be multiplied by 4, how many times is it to be taken? How many times is each order of units to be taken? If units of any order be multiplied by simple units, what is the order of the units of the prodact ? |