When the Multiplier is not the exact product of any two figures in the multiplication table, work by the following Rule. 1. Multiply by the two figures in the multiplication table the product of which comes nearest to, but less than, the given multiplier. 2. Multiply the given sum by the difference between the product of the figures by which you multiplied and the given multiplier. 3. Add the two products together. Questions, When the multiplier is not the exact product of any of the figures in the multiplication table, what is first to be done? When you have multiplied by the two figures which come nearest to the given multiplier what is then to be done? How do you complete the operation? product of any two When the multiplier exceeds the figures in the multiplication table the operation must be performed by the following Rule. 1. Multiply the given sum by ten as many times less one as there are figures in the multiplier. 2. Multiply that product by the left hand figure of the multiplier. 3. Multiply the given sum by the unit figure of the multiplier, the product of the first 10 by the ten figure of the multiplier, the second 10 by the second figure of the multiplier, and so on until you have multiplied by all the figures, (except the left hand one.) 4. Add all the products together Questions. How do you first proceed when the given multiplier exceeds the product of any two figures in the multiplication table? After you have multiplied by 10 as many times as there are figures in the multiplier, by what do you then multiply? After having multiplied that product by the left hand figure of the multiplier what is to by done with the products? 1. Sold 5 Cut. of tobacco at $12,50 per the whole amount to? I Cut. what will Ans. $62,50 yard, what must Ans. $9,63 3. When 1 cord of wood costs $5,624 what will be the price of twelve cords at the same rate? Ans. $67,47. 4. Bought 24 bushels of wheat at $1,123 per bushel, what is the product?. Ans. $27. 5. What is the value of a bag of coffee weighing 63 pounds, at 2s. 2d. per pound. Ans. 61. 16s. 6d. 2. If I buy 9 yards of muslin at $1,7 per pay for it? 6. A merchant bought 2 pieces of cloth, the one containing 38 yards, and the other 26 yards, what is the amount of the two pieces at $3,874 per yard? Ans. $248. 7. What cost a box of sugar weighing 106 pounds at 151 cents per pound? Ans. $16,164. 8. What must be paid for a quantity of cheese weighing 132 pounds, at 1s. 3d. per pound? Ans. 81. 5. 9. If a man's income be $9,10 per day, what will he receive a year? Ans. $3321,50. 10. If I hold 325 acres of land at a yearly rent of 9s. 6d. per acre, what does my rent amount to? Ans. 1541. 7s. 6d. 11. Bought 217 gallons of brandy at $1,184 per gallon, and sold it for $1,374 per gallon, what was the amount paid for the whole, the sum it sold for, and the gain? Ans. Prime cost $257,68 COMPOUND SUBTRACTION. Compound Subtraction is used when numbers of different denominations are to be subtracted. Rule. 1. Set down the larger number and under it the smaller, observing that the denominations of the smaller number are placed under like denominations of the larger number. 2. Begin at the right hand denomination and subtract the lower from the upper if the upper denomination is larger than the lower, and set down the remainder. 3. But if the upper denomination is less than the lower add to the upper denomination as many as make one of the next greater denomination, then subtract the lower denomination from the amount and set down the remainder until all the denominations have been subtracted. Proof. The same as in Simple Subtraction. Questions. When is Compound Subtraction used? How do you set down sums in Compound Subtraction › How do you proceed after having properly set down the two numbers and the upper denomination is greater than the lower?· How do you proceed if the upper denomination is less than the lower? How is Compound Subtraction proved? |