Add by repeating the numbers, 25. 2, 3, 4, 2, 3, 4, 2, 3, 4, till the sum = 63. 26. 3, 4, 5, 3, 4, 5, 3, 4, 5, till the sum = 84. 27. 2, 4, 6, 2, 4, 6, 2, 4, 6, till the sum = 96. Add alternately, 28. 5, 6, 5, 6, 5, 6, 5, 6, till the sum = 88. 29. 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, till the sum = 100. 30. 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, till the sum = 120. 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, till the sum = 119. 31. 32. What is the sum of 46 and 27 ? ANALYSIS.-46 is 4 tens and 6 units, and 27 is 2 tens and 7 units; 4 tens and 2 tens, are 6 tens, and 6 units and 7 units are 13 units, or 1 ten and 3 units, which added to 6 tens make 7 tens and 3 units, 35. 41. 72+25=? 63+54= ? 65+40=? 38. 38+37=? 42. James earned 44 cents one day, and 52 cents the next. How many cents did he earn in both days? 43. Bought a pound of coffee for 35 cents, a pound of butter for 28 cents, and a pound of sugar for 12 cents. What was the cost of the whole ? 44. A lady bought a silk dress for $28, a shawl for $16, and had $14 left. How much money had she at first? 79. When the sum of the units of any order equals or exceeds 10. 1. What is the sum of 467, 536, 84, and 705 ? OPERATION. 467 536 84 705 1792 Sum. ANALYSIS.-Arranging the numbers as before, begin at the right hand and add the column of units; thus, 5, 9, 15, 22 units, equal to 2 tens and 2 units. Write the 2 units in the units' place, and reserve the 2 tens to add to the next column. Next, adding the 2 tens reserved, to the column of tens, say, 2, 10, 13, 19 tens, equal to 1 hundred and 9 tens. Write the 9 tens in the tens' place, and reserve the 1 hundred to add to the next column. Lastly, adding the 1 hundred reserved, say 1, 8, 13, 17 hundreds, equal to 1 thousand, and 7 hundreds, which write in hundreds' and thousands' places. Hence the sum is 1792. In like manner, copy, add, and prove, (2.) (5.) 6. Find the sum of $370.21, $2.49, $3.07, and $.94. 7. Find the sum of 2008, 1400, 706, 300, and 77. 8. If 4 loads of coal weigh respectively 1922, 1609, 2100, and 1873 pounds, what is the entire weight? RULE.-I. Write the numbers so that figures of the same order stand in the same column. II. Beginning at the right, add each column separately, and write the sum, if expressed by one figure, under the column added. III. If the sum of any column consists of two or more figures, write the unit figure under that column, and add the remaining figure or figures to the next column PROOF.-Add each column in the reverse direction. the results agree, the work is probably correct. If 9. The Duke of Wellington's army at Waterloo consisted of 26661 infantry, 8735 cavalry, 6877 artillery, and 33413 allies. What was the whole number of his army? 10. Napoleon's army at Waterloo was composed of infantry 48950, cavalry 15765, and artillery 7732. What was the whole number of his army? ? 11. Gave $325 for a horse, $275.50 for a carriage, $75.75 for a harness, and $20.62 for a robe. What was the cost of the whole? 12. Bought a pair of boots for $8.50, an umbrella for $3.62, a pair of gloves for $1.25, some collars for $.75, and a hat for $4. What was the whole cost? 13. A lady gave $48.50 for silk for a dress, $16.75 for the trimmings, and $15.62 for making. What was the cost of the dress? 20. What is the sum of 5736 dollars and 45 cents, 1000 dollars and 80 cents, 405 dollars and 15 cents, 50 dollars and 9 cents, and 79 cents? 21. Find the sum of twenty-five hundred dollars, 420 dollars and 47 cents, $23 and fifty cents, $600, and ten dollars and eight cents. 22. 1 million 400 thousand and 50 + 15 hundred + 25 thousand+120 thousand 6 hundred and 14 = ? 23. Paid $3456 for a house, $426.75 for painting it, $2809.48 for furniture. What was the cost of the whole? 24. North America has an area of 8825537 square miles, South America 6954131 square miles, and the West Indies 93810 square miles. What is the area of the entire American Continent? 25. A man owns farms valued at $62500, city lots worth $10260, a house worth $21300, and other property to the amount of $10500. What is the total value of his property? 81. 1. If John is 15 years old and George is 6, what is the difference in their ages? 2. How many are 16 cents less 7 cents? 3. How many are 18 dollars less 5 dollars? 4. How many are 14 less 6? 16 less 4? 12 less 5? 20 less 6? 21 less 4? 5. How many are 18 less 8? 6. Five balls taken from 11 balls leave how many? 7. Six cents from 20 cents leave how many? 8. What kind of numbers are 10 days and 6 pounds? 9. Can 6 miles be taken from 15 acres? Why not? 10. Can 8 dollars be taken from 18 dollars? Why? 11. How many are 7 less 5? 27 less 5 ? 12. How many are 9 less 6? 17 less 5? 19 less 6? 29 less 6 ? 13. What number added to 8 will make 12? 14. What number and 9 make 13? 14? 15? 16? 15. Subtract by 2's from 24 to 0. OPERATION.-24, 22, 20, 18, 16, 14, 12, 10, 8, 6, 4, 2, 0. In the same manner, subtract 16. By 2's from 25 to 1. 17. By 2's from 31 to 3. 18. By 3's from 30 to 0. 19. By 3's from 37 to 1. 20. By 3's from 40 to 4. 21. By 4's from 44 to 0. 22. By 4's from 41 to 1. 23. By 4's from 51 to 3. 24. By 5's from 60 to 0. 25. By 5's from 63 to 3. 26. By 6's from 66 to 0. 27. By 6's from 65 to 5. |