COMPOUND ADDITION. MONEY. Place pounds under pounds, shillings under shillings, pence under pence, and farthings under farthings. Carry at every four in the farthings, at every twelve in the pence, at every twenty in the shillings, and at every ten in the pounds. When adding farthings, divide their sum total by 4, set the remainder in place of farthings, and carry the quotient to the pence. When adding pence, divide their sum total by 12, set the remainder in place of pence, and carry the quotient to the shillings. When adding shillings, divide their sum total by 20, set the remainder in place of shillings, and carry the quotient to the pounds. £. s. d. 72 13 4 89 16 3 21 17 4 32 1 8 61 6 3 £277 14 10 KEY TO CARD No. 13. LESSON 1. Place the figures regularly on your slates as represented by the card. Then begin at the lowermost 3 in the column of Pence, and say, 3 and 8 are 11, and 4 are 15, and 3 are 18, and 4 are 22; how many times 12 in 22 ? once, and 10 over; set down 10, and carry 1 to the shillings. Shillings, One that I carry to 6 makes 7, and 1 is 8, and 17 are 25, and 16 are 41, and 13 are 54; how many times 20 in 54 ? twice, and 14 over; set down 14, and carry 2 to the pounds. Pounds, first column. Two that I carry and 1 makes 3, and 2 are 5, and 1 is 6, 1 and 9 are 15, and 2 are 17-7 and carry 1. KEY TO CARD No. 13. Pounds, second column. One that I carry to 6 makes 7, and 3 are 10, and 2 are 12, and 8 are 20, and 7 are 27-set down 27. Answer in words, Two hundred and seventy-seven pounds fourteen shillings and ten pence. Prove addition by beginning at the top, and reckoning downwards. Two that I carry to 6 make 8, and 5 are 13, and 9 are 22, and 3 are 25, and 4 are 29; how many times 12 in 29?-2 times and 5 over: set down 5, and carry 2 to the shillings. Shillings. Two to 10 are 12, and 11 are 23, and 18 are 41, and 7 are 48, and 19 are 67; how many times 20 in 67 ?—3 times, and 7 over; set down 7, and carry 3 to the pounds. Pounds, first column. Three to 1 is 4, and 1 is five, and 6 are 11, and 1 is 12 2 and carry 1. Pounds, second column. One that I carry to 2 is 3, and 7 are 10, and 3 are 13, and 4 are 17, and 8 are 25-5 and carry 2. Pounds, third column. Two that I carry to 3 is 5, and 1 is 6; set down 6. Answer in words, Six hundred and fifty-two pounds. seven shillings and five pence half-penny. KEY TO CARD No. 13. LECTURE. Why do we divide farthings by 4? Because 4 farthings make 1 penny; and whatever number of pennies or pence there are, must be added in the pence column. Why do we divide pence by 12? Because 12 pence make one shilling; and whatever number of shillings there are, must be added in the column of shillings. Why do we divide shillings by 20? Because 20 shillings make one pound; and whatever number of pounds there are, must be added to the pounds. Let the Teacher or a senior Monitor lecture the classes in this way or with other pertinent observations when occasion shall require. We will now endeavour to manage the shillings by a method. more easy RULE. Carry the half to the pounds, that is, divide the hundreds and tens by 2; carry the quotient to the pounds: if any remainder happen, it will always be a 1, set that 1 in the place of tens, on the left side of the units of shillings. · Here I say, 2 in 5—2 times and 1 over; set the 1 by the 4, makes 14 shillings, and the 2, being the quotient, goes to the place of pounds. Farthings. Three and 3 are 6, and 1 is 7, and 2 are 9-4 in 9, twice and 1 over; set down 1 and carry 2 to the pence. KEY TO CARD No. 13. Pence. Two that I carry to 11 are 13, and 9 are 22, and 7 are 29, and 4 are 33, and 3 are 36-12 in 36-3 times, and nothing over; set down 0, and carry 3 to the shillings. Shillings. Three that I carry to 9 are 12, and 8 are 20, and 10 are 30, and 6 are 36, and 4 are 40-the half of 4 is 2; set down 0 and carry 2 to the pounds. Pounds, first column. Two that I carry to 1 make 3, and 8 are 11, and 9 are 20, and 8 are 28; set down 8 and carry 2. Pounds, second column. Two that I carry to 6 are 8, and 4 are 12, and 5 are 17-set down 7 and carry 1. Pounds, third column. One I carry to 1 is 2, and 1 is 3, and 2 are 5, and one is 6; set down 6. Answer in words, Six hundred and seventy-eight pounds one farthing. LESSON 4. Now take the most easy mode to reckon the shillingsgo up with the units first, then count the tens downward. One that I carry to 9 makes 10, and 7 are 17, and 4 are 21, and 5 are 26, and 3 are 29, and 6 are 35, and 10 are KEY TO CARD No. 13. 45, and 10 are 55, and 10 are 65, and 10 are 75; the half of 7 is 3, and 1 over; set the 1 on the left side of the 5 in the place of shillings, which will make 15 shillings, and carry the 3 to the pounds. Pounds, first column. Three that I carry to 5 make 8, and 8 are 16, and 5 are 21, and 2 are 23, and 4 are 27, and 1 is 28-8 and carry 2. Pounds, second column. Two that I carry to 5 make 7, and 7 are 14, and 3 are 17, and 6 are 23, and 5 are 28, and 2 are 30; 0, and carry 3 to the third column;-3 that I carry, and 1, makes 4. Sum total in words, Four hundred and eight pounds, fifteen shillings and one farthing. Six and 7 are 13, and 4 are 17, and 6 are 23; how many times 12 in 23? 1 time and 11 over; set down 11, and carry 1 to the shillings. Shillings. One to 4 makes 5, and 3 are 8, and 6 are 14, and 4 are 18, and 10 are 28, and 10 are 38, and 10 are 48; the half of 4, is 2; set down 8, and carry 2 to the pounds. Pounds, first column. Two that I carry to 5 are 7, and 9 are 16, and 1 is 17, and 8 are 25-5 and carry 2. Pounds, second column. Two I carry to 8 make 10, and 4 are 14, and 6 are 20, and 4 are 24-4 and carry 2. |