2. Add together 7 cwt. 2 qrs. 15 lbs. ; 33 cwt. Oqrs. 25 lbs.; 19 cwt. 3 qrs. cwt. qrs. lbs. 0 25 33 II. TO EXPRESS IN POSITIVE TERMS THE SUM OF SEVERAL FRACTIONS OF CONCRETE QUANTITIES. Rule 1. Express them all in the same denomination, add them, and express the sum in positive terms. Rule 2. Express each fraction in positive terms, and add. EXAMPLES. 1. Express in positive terms įgui. + Śs. 7 2 147 2 8 3 금 3 : 2. Express in positive terms į mile + 4 yd. + } ft. 2 1 fur. = 5-fur. 3 1 = 13– po. 3 1 11 5 3 2 1 2 x zyds=lo yds. = 27tt. 3 I 4 1 ft. X 36 ins.= 9 ins. 2 - mile + 3 yd. + 1 .ft. = 5 fur. 13 p. 1 yd. 2 ft. 6 ins. 2 2 ft. 9 ins. 6 ins. 5 fur. 13 p. 2 yd. 2 ft. 9 ins. ++ll 3. Find the value of .75 sq. yd. +.56 sq. ft. .75 sq. yd. +.56 sq. ft. = 6.75 sq. ft. +.56 sq. ft. £= 4. Find the value of .72 of £1 : 3:4+.5 of £1:11:4. 72 7 28 .72 of £1: 3: 45- of £=- £. 99 6 33 5 47 47 5 of £1:11:4=- of £. 9 30 54 ... 72 of £1 : 3:4+.5 of £1:11: 4 28 47 £ + £. £. £=1-. £. 594 594 112 s. = 14- S. 594 297 297 d. =4d. S. IV. COMPOUND SUBTRACTION. 1. TO SUBTRACT ONE COMPOUND QUANTITY FROM ANOTHER OF THE SAME KIND. Rule-1. Write the less quantity under the greater, placing those of the same unit in the same column. 2. Subtract the lower number in the column of the lowest denomination from the upper, if possible, but if not, 3. Add to the upper number as many units of the denomination of the column as make one of the next higher; and then subtract the lower number. 4. Set down the remainder under the column. 5. Proceed in the same manner with the next column, adding 1 to the lower number, if the upper number of the last column has been increased. 6. Continue this process till each number in the lower line has been subtracted. 48 2 11 Ans. sq. po. yds. ft. 5500 104 7 Ans. = 5500 11 01 3. Bought 508 qrs. 3 bush. 1 pk. of grain, of which 300 qrs. 4 bush. 2 pks. was wheat, the remainder oats, find the quantity of oats. qrs. bus. pk. II. TO EXPRESS IN POSITIVE TERMS THE DIFFERENCE OF TWO FRACTIONS OF CONCRETE QUANTITIES. Rule 1. Express them in the same denomination, subtract, and express the result in positive terms. Rule 2. Express each fraction in positive terms, and then subtract. EXAMPLES. Find the value of 1 moidore - h of half a guinea. 11 7 11 7 21 – moidore half gu. = x 27s. - XI - 11 2 S. 15 22 38 30 44 S. 2. Find the value of .085 of a ton .875 of a qr. .085 ton = 7 qrs. :7 qrs. — .875 qrs. - .875 qr. V. COMPOUND MULTIPLICATION AND DIVISION. 1. TO MULTIPLY BY ANY NUMBER A GIVEN COMPOUND QUANTITY. Rule 1. If the multiplier be not greater than 12, write the multiplier under the number of the lowest denomination in the multiplicand, and multiply this by the multiplier. Convert the product into units of the next higher denomination ; set down the remainder, if any, and carry the higher units to the next denomination. Multiply the number of the next denomination by the multiplier, and to the product add the units carried from the former product. Proceed in this way, till all the numbers in the multiplicand have been multiplied ; write the last product in full. Rule 2. If the multiplier be greater than 12, and capable of being resolved into factors not greater than 12, multiply by any one of the factors, this product by another, this by a third, and so on. till all the factors have been used. Rule 3. If the multiplier be greater than 12, and not capable of being resolved into factors less than 12, take the next smaller or greater number than the multiplier, which is capable of being resolved into factors not greater than 12. Multiply by this, by last Rule; and multiply the multiplicand by the difference between the multiplier used and the given one. Add, or subtract, this product to or from the former one, according as the multiplier used was too small or too large. Or~Multiply by 10's in succession, a number of times less by one than the number of figures in the multiplier. Multiply the multiplicand by the units' figure in the multiplier ; the 1st product by the tens' figure; the 2nd by the hundreds' figure, and so on. Add these last products together: the sum is the product required. EXAMPLES 1. Multiply £7413 : 10:11: by 11. £. d. 7413 10 111 11 |