12. What is the sum of $21.35, $15.02, and $50.61? Ans. $86.98. 13. What is the sum of $32.16, $21.50, and $24.23? Ans. $77.89. 14. What is the sum of 2131236, 2314010, and 4520652? Ans. 8965898. 15. A man gave his son $13.56 and his daughter $46.21; how many dollars did he give to both? 16. Marie's book contains 3516 words, and 4271 words; how many words in both? Ans. $59.77 Ans. 7787. 17. John takes 3250 steps in going to school, and Henry takes 2518 steps; how many do both take? Ans. 5768. 18. If Mr. Martin rides 3164 miles in a year and walks 513 miles; how far does he travel in a year? Ans. 3677. 19. A house cost $4160, a barn $1702, and a store $2027; required the cost of all. Ans. $7889. 20. A book cost $2.25, a kite $1.10 and a ball 62 cents; what was the cost of all? 21. A little girl's pulse beats 105216 times ner mother's pulse beats 93470 times; how both make in a day? Ans. $3.97. in a day, and many beats do Ans. 198686. 22. John bought a Higher Arithmetic for $1.38, a Peter son's Familiar Science for $1.60, and a Loomis's Algebra for $2.00; how much did he pay for all? Ans. $4.98. 23. An army consisting of 24,360 men received at one time a reinforcement of 10,220, and at another time of 5400; of how many men did it then consist? Ans. 39.980. CASE II. 59. To add when the sum of a column exceeds nino units of that column. 1. What is the sum of 475, 384, and 896? OPERATION. 475 384 896 1755 SOLUTION.-We write the numbers so that terms of the same order stand in the same column, and begin at the right to add. 6 units and 4 units are 10 units, and 5 units are 15 units, which equal 1 ten and 5 units; we write the 5 units under the column of units, and add the 1 ten to the column of tens: 1 ten and 9 tens are 10 tens, and 8 tens are 18 tens, and 7 tens are 25 tens, which equal 2 hundreds and 5 tens; we write the 5 tens under the column of tens, and add the 2 hundreds to the column of hundreds: 2 hundreds and 8 hundreds are 10 hundreds, and 3 hundreds are 13 hundreds, and 4 hundreds are 17 hundreds, which equal 1 thousand and 7 hundreds; we write the 7 hundreds under the column of hundreds, and place the 1 thousand on the left in the place of thousands. Hence, the sum of 475, 384, and 896 is 1755. Rule.-I. Write the numbers to be added so that terms of the same order stand in the same column, and draw a line beneath II. Begin at the right, add the terms of each column separately, and write the sum underneath, if less than ten. III. When the sum of any column is ten or more than ten, write the units figure only, and add the tens to the nex column. IV. Write the entire sum of the last column. NOTE. In adding dollars and cents, dollars must be written under do lars and cents under cents, so that the points may be in a vertical line. Proof.-Begin at the top and add the columns downwald and if the work is correct the two sums will be equal. SECOND METHOD. Separate the number into two or more parts, add these parts, and then add the sum of these parts and if the wa 18 correct the two results will be equal. NOTES.-1. We write figures of the same order in the same column fui convenience of adding, since only units of the same order can be directly added. 2. We begin at the right to add for convenience, so that when the sum of any column exceeds 9 we may add the left hand term of such sum te the next column. WRITTEN EXERCISES. 2. What is the sum of 4326+7428+4675+3857+1231 ? Ans. 21517 8. What is the sum of 3213+3562+4572+4207÷3208 ? Ans. 18762. 4. What is the sum of 2573+3865+2101+5213+1202? Ans. 14954. 5. What is the sum of 3216+3105+21678+36102? Ans. 64101. 6. What is the sum of 3120+1356+2013+206+12345 ? Ans. 19040. 7. Find the sum of 3123+204+36512+30567+123457. Ans. 193863. 8. What is the sum of 21650+1456+287657+3608+ 146075? Ans. 460446. 9. Find the sum of 60758+12473+10572+876543+752075 +875432. Ans. 2587853. 10. What is the sum of 67086+1257321+8752072+516203 +2010507? Ans. 12603189. 11. What is the sum of 124607+576078+1555+6753209 +12460729 ? Ans. 19916178. 12. Find the sum of 623405+328721+6075+2870572+ 395. Ans. 3829168. Ans. 8402681. 13. What is the sum of 351670+8037508+367+12578+ 246+312? 14. Required the sum of 2187587+3057218+207562+ 17473+312578. Ans. 5782418. 15. Find the sum of 875672+3408+13767+870823+138721 +85432785. Ans. 87335176. 16. What is the sum of 8243+13750+372+82134+28793 +876789? Ans. 1010081. 17. Required the sum of 3207+28543+2856+28732+ 87256+387128. Ans. 537722. 18. Find the sum of 8723+285768+36124+28765-+37124 +856078. Ans. 1252582. 19. What is the sum of 23456+7891011+121314+151617 +1819202? Ans. 10006600. 20. Required the sum of 28567+385602+13728+38562+ 308029+2085703. Ans. 2860191. Ans 688112 21. Required the sum of 3142+2813+93104+160538+ +810356+218185 22. Find the sum of 36875+28764+3128+6785+3876+ 38521+46212. Ans. 164161. 23. Find the sum of 41287, 32104, 80010, 678910, 136710, 896343. 257856. Ans 2123220 24. Find the sum of 67851, 21856, 38214, 621857, 36724, 128705, 1250641. Ans. 2165848. 25. Find the sum of 20875, 318764, 287656, 318567. 208725, 387124, 411403. Ans. 1953114. 26. Find the sum of 218765, 865432, 896, 32481, 2879823, 8128765, 1759824. Ans. 13885986. 27. Find the sum of 61857, 30876, 14687, 318572, 856, 30876, 12345, 678910, 328764. Ans. 1477743. MENTAL EXERCISES. 1. Rose gave 15 cents to her brother and 8 cents to her sister; how much did she give to both? SOLUTION.-If Rose gave 15 cents to her brother and 8 cents to her sister, to both she gave 15 cents plus 8 cents, which are 23 cents. 2. What is the cost of a suit of clothes if the material cost $25 and the making cost $10? 3. If a boy has 12 cents and then earns 15 cents, how many cents will he then have? 4. The head of a fish is 6 inches long, the tail 8 inches, and the body 12 inches; what is the length of the fish? 5. How many are 18 and 6? and 8? 42 and 7? 48 and 6? 6. How many are 8 and 24? 17 and 8? 21 and 7? 25 and 8? 36 57 and 7? 5 and 47? 4 and 48? 3 and 68? 9 and 26? 7 and 85? 6 and 48? 7. How many are 105 and 6? 108 and 7? 115 and 8? 124 and 6! 135 and 5? 140 and 7? 155 and 8? 8. How many are 6 and 135? 5 and 206? 7 and 208? 4 and 2121 7 and 234? 8 and 326? 300 and 400? 9. Howard shot 11 robins, Howell shot 12 robins, and Hoyt shot 18 robins; how many robins did they all shoot? 10. A boy bought a robin for 10 cents, a jay for 20 cents, and a wren for 30 cents; what did they all cost? 11. A lady gave 6 cents for needles, 12 cents for thread, and 25 cents for some muslin; what was the entire cost? 12. What is the sum of 28 and 87? SOLUTION.-28 and 80 are 58, and 7 are 65. 18. What is the sum of 25 and 38 27 and 361 45 and 28? 47 and 65? 67 and 48? 73 and 48? 14. What is the sum of 29 and 46? 28 and 38 76 and 46? 85 and 91? 83 and 48? 96 and 69 125 and 43 173 and 205? 15. Add by 7's from 7 to 98; from 1 to 99; from 2 to 100; from 8 to 101. Add by 8's from 8 to 120; from 2 to 122; from 3 to 123. 16. Add by 9's from 0 to 108; from 1 to 109; from 2 to 110; from 3 to 111. Add by 11's from 0 to 132; from 1 to 133; from 2 to 184. 17. Add by 12's from 0 to 144; from 1 to 145; from 2 to 146; from 8 to 147; by 13's from 13 to 130; from 1 to 131; etc. 18. Add alternately by 4 and 5 till the sum exceeds 100; by 5 and 6; by 6 and 7; by 8 and 9; by 9 and 10; by 11 and 12. 19. A merchant sold some rice for $15, some sugar for $17, and some flour for $22; what was the amount of the sale? WRITTEN EXERCISES. 1. A farmer raised 857 bushels of wheat, 372 bushels of rye, 720 bushels of oats, and 876 bushels of corn; how many bushels of grain did he raise? SOLUTION.-If he raised 857 bushels of wheat, 372 bushels of rye, 720 bushels of oats, and 876 bushels of corn, he raised in all the sum of 857 bushels, 372 bushels, 720 bushels, and 876 bushels, which we find by adding, to be 2825 bushels. OPERATION 857 372 720 876 2825 2. A lady owns a farm worth $8326, a house worth $6575, a barn worth $3818, and $7584 in State bonds; what is she worth? Ans. $26303. 3. A grocer paid $897 for flour and $759 for sugar; for what must both be sold that the grocer may gain $125 on the transaction? Ans. $1781. 4. In a graded school there are 29 pupils in the first section, 42 in the second, 38 in the third, 45 in the fourth, 51 in the fifth, and 63 in the sixth; how many pupils are there in the whole school? Ans. 268 pupils. 5. A merchant "checked" out of bank $2560 one day, $3065 the next, $2780 the next, and then had $5760 in bank: how much had he in bank at first? Ans. $14165 6. A dealer bought 450 barrels of wheat flour for $2700, and 286 barrels of rye flour for $1416; how many barreis did be buy and what was the whole cost? Ans $4116. |