LESSON VII. 1. What is a dime? Answer. A dime is a ten cent piece. Ten dimes? Ans. One hundred cents or ONE DOLLAR. 3. A boy has one ten cent piece, or dime, and receives one more; how many dimes and how many cents does it make? Ans. Two ten cent pieces, or dimes, which are 20 cents. 4. John buys a quire of paper for two dimes, and quills for ten cents; how many dimes has he to pay, and how many cents is it? Ans. 3 dimes, which are 30 cents. 5. How many are 20 and ten? 6. How many dimes and how many cents are 1 dime and 3 dimes? 1 dime and 4 dimes? 1 dime and 5? 1 dime and 6? 1 dime and 7? 1 dime and 8? 1 dime and 9? 7. How much are 10 and 30? 10 and 60? 10 and 70? 50? 90? 10 and 40? 10 and 10 and 80? 10 and 8. A quire of paper cost 24 cents, and a bunch of quills 8 cents; how much for both? *Mentally. 24 cents are 2 dimes and 4 cents; 4 cents added to 8 cents are 12 cents (that is 1 dime and 2 cents); and now 1 dime added to the first 2 dimes make 3 dimes; in all, 3 dimes and 2 cents, or 32 cents for the answer. Otherwise and better. 8 and 4 are twelve (which are 10 and 2 over), and 10 added to 20 are 30; so that the answer is 30 and 2, or 32. 9. The same on the slate or black-board. Write 8 under 24, placing it exactly under OPERATION. 4, and then draw a line below both, and say: 8 and 4 are 12; set down 2 below 8, and 1 to carry: and then 1 and 2 are 3; which you set down on the left of 2, making the answer 32. 10. How is a single figure to be added to any number composed of two figures? RULE. Mentally. I. The single figure is added to the last figure of the number, and, if the sum does not exceed 9, the first figure of the number remains the same. II. But if it do exceed 9, one is added to the first figure. In writing. III. Set the single figure under the last of the number, draw a line beneath; and then add in the same way; setting down the figures of the result exactly under the corresponding ones of the two numbers you have added. EXERCISES. 1. A lady bought linen for 67 cents, and thread for 9 cents; how much had she to pay? 7 and 9 are 16; and 1 and 6 are 7. Answer, 76. 2. A boy had 39 marbles, and won 6 at play; how many has he? 3. I have 98 eggs left after having broken 2; how many had I at first? 4. Mary spends 88 cents, and has 5 left; how many cents had she before? 5. How many are 2 and 19? 2 and 28? 62 and 2? 2 and 59? 3 and 18? 25 and 3? 37 and 3? 3 and 79? 3 and 68? 4 and 16? 17 and 4? 25 and 4? 49 and 4? 58 and 4? 5 and 17? 5 and 35? 6 and 18? 22 and 6? 7 and 22? 7 and 38? 5 and 47? 69 and 5? 76 and 5? 36 and 6? 48 and 6? 59 and 6? 53 and 7? 63 and 7? 79 and 7? 8 and 17? 8 and 29? 33 and 8? 44 and 8? 59 and 8? 9 and 10? 9 and 22? 9 and 39? 9 and 76? 9 and 78? LESSON VIII. 1. Peter bought two books, one for two ten cent pieces or dimes, the other for three pieces; how many dimes did he pay for them; and how many cents does it make? He paid 5 dimes, and 5 dimes are 50 cents. How many are 20 and 30? 2. I had 40 cents, and received 30 more; how much have I got? 40 cents are 4 dimes; 30 cents are 3 dimes; the whole therefore is 7 dimes or 70 cents. 30 and 40 are how many? 3. How many are 30 and 50? 40 and 20? 70 and 10? 20 and 60? 80 and 20? 30 and 60? 40 and 40? 4. If I pay 54 cents to one man, and 20 to another, how much do I pay in all? You pay 5 dimes and 2 dimes, making 7 dimes, and 4 cents besides; in all 74 cents. How many are 54 and 20? 5. If I had paid 54 cents and 27, how many would it have been? Ans. 4 cents and 7 cents are 11, that is, one dime and 1 cent; and 5 dimes added to 2 dimes, and 1 more, are in all 8 dimes; so that the whole is 8 dimes and 1 cent, or 81 cents. 6. A man paid 29 cents for sugar, and 65 for coffee; how much did he spend? Mentally. 9 cents and 5 cents are 14 cents, which are 1 dime and 4 cents over; and now, the cents being added, we must add the dimes: 2 dimes and 6 and one more are 9 dimes, or 90 cents, which with 4 cents make in all 94 cents. 65 and 29 are how many? 7. How would you add the same on the slate or blackboard? 65 29 Ans. Write the numbers under each other; OPERATION. then add 5 and 9, which gives you 14, that is 1 dime and 4 cents. Set down 4; and then carry 1 to the two left hand figures, 6 and 2, which gives you 9; and the answer is 9 dimes and 4 cents, or 94 cents. 94 cents. 8. Repeat the rule for adding two numbers, each containing two figures. RULE. I. Write the numbers to be added exactly under each other, and draw a line beneath. II. Then add the two right hand figures; and set down the right hand figure of this sum; and, if it has a left hand figure, add it to the other left hand figures, and set the amount to the left of the figure already set down. EXERCISES. 9. How many are 3 and 5 and 7 and 25? 10. How many are 6 and 7 and 9 and 12? 11. How many are 10 and 6 and 9 and 8? 12. How many are 11 and 7 and 3 and 9 and 15? 13. How many are 23 and 8 and 1 and 4 and 23 and 2? 14. How many are 14 and 6 and 4 and 8 and 35 and 1? For the slate or black-board: and other like examples, provided the sum do not exceed one hundred. LESSON IX. INTRODUCTION TO SUBTRACTION 1. Mary had 8 cents, and lost 3; how many has she left? 2. John has 12 marbles, and Thomas 6; how many more has John? 3. A man owes 18 dollars, and pays 12; how many more does he owe? 4. I bought a book for 15 cents, and sold it for 20; how much did I make? 5. A man bought a barrel of sugar for 16 dollars, and sold it for 18; how much more would he have made if he had sold it for 23 dollars? 6. Bill has 17 apples, and Henry 15; Henry gives 7 of his apples to Bill. How many more then has Bill than Henry? 7. How much more is eleven than six? 25 than 18? 36 than 27? 54 than 48 ? 8. James has to go 20 miles; he travels 12 miles the first day; how far has he to travel the second day? 9. Ellen had fifteen cents, her father gives her 10 cents more, and her mother 8; she buys cakes for 12 cents; how much has she left? 10. Lucy had 6 cents, she found 20 one day, but lost 9 the next; how many had she left? 11. A man living 10 miles from New York went through that place and 15 miles farther; he returned the same day 6 miles on his way back; how far was he then from New York? 12. It takes 3 yards of cloth for a coat, 3 for pantaloons, 1 yard for a vest, out of a piece of 22 yards; how many yards are left in the piece? 13. How much must be added to 15 to make 23? to 21 to make 29? to 25 to make 34? to 19 to make 26? to 37 to make 40? to 45 to make 51? &c., &c. 14. A woman having company bakes 20 cakes, and buys besides 16 more; she pays, however, for only 12; how many cakes does she owe for? 15. General Washington was born on the 22d of February; how many days older would a man have been who had been born on the 22d of January of the same year; January having 31 days, and February 28? 16. Ellen lost her purse containing 9 dollars, her father then gave her 15 dollars, out of which she spent 4 dollars; how many dollars had she left? 17. I had a house 25 feet high; my neighbour's house was 32 feet high; I raised mine 12 feet, and he then |