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 ?

When the multiplier exceeds the product of any two figures in the multiplication table, the operation must be performed by the following Rule:

1. Multiply the given sum by 10, 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 yeu 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 less one 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 be done with the products?

1. Sold 5cwt. of tobacco, at $12,50 per cut.: what will the whole amount to?

Ans. $62,50.

2. If I buy 9 yards of muslin at $1,07 per yard, what

Ans. $9,63.

must I pay for it? 3. When 1 cord of wood costs $5,621, what will be the price of 12 cords at the same rate? 4. Bought 24 bushels of wheat, at what is the amount?

Ans. $67,47. $1,121 per bushel: Ans. $27. 5. What is the value of a bag of coffee, weighing 63 pounds, at 2s. 2d. per pound? Ans. £6 16s. 6d.

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 $3,87 per yard? Ans. $248. 7. What cost a box of sugar, weighing 106 pounds, at 15 cts. per pound? Ans. $16,16

8. What must be paid for a quantity of cheese, weighing 132 pounds, at 1s. 3d. per peund? Ans. £8 5s. 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. £154 7s. 6d.

11. Bought 217 gallons of brandy, at $1,183 per gallon, and sold it for $1,371 per gallon; what was the amount paid for the whole, the sum it sold for, and the gain? Ans. Prime cost $257,683; sold for $298,371; gain $40,682.

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?

9. Take $1011 12cts. 5m. from $4010 14cts. 4m.

Ans. $2999 1ct. 9m. 10. Lent a man $400 he now returns $211 124cts.: how much is still unpaid?

Ans. $188 871cts.

4. Subtract £200 9s. from £1000 11s. 113d.

Ans. £800 2s. 113d.

5. I have a purse of money containing £1000 2s. 41d.: if I take out £60 7s. 83d., what sum will be left? Ans. £939 14s. 73d.

4. From 147. 10cwt. 2qr. 167b. subtract 117b.

Ans. 147. 10cwt. 2qr. 5lb.

5. Bought 400cwt. of sugar; sold 2cwt. 3qr. 14lb.: what quantity is left? Ans. 397cwt. Oqr. 14lb.

4. Subtract 14lb. 6oz. 11dwt. from 22lb. 12dwt. 6gr.

Ans. 7lb. 6oz. 1dwt. 6gr.

5. From 16b. take 12lb. 11oz. 10dwt. 11gr.

Ans. 3lb. Ooz. 9dwt. 13gr.