8. What is the value of It? Solution. Since it is less than 1, 11 + 71 must equal # += 1 Pr: 9. Perforın by the method last explained each of the previous examples under this letter. 10. How many are 4 + 3 + ]? Then how many are 4+ 37? 45 +3? 11. How many are 6 +5+41? Then how many are 6 +543? 5}} +6? 647 +5? 12. How many are 8+73? 6 + 54 ? 12 +213? 41 + 47? 634 + 18? 13. How many are 9811 + 41 ? 37 + 163? 43 + 513? 85+ 16? 14. How many are iti+7? Then how many are 7 tit ? 781 + ? i+71? 15. How many are *7 + i + 69 ? Then how many are 69 +41 + $? 6941 + $1? + + 6931 ? 16. How many are 33 + $? 4% + 1o? 811 +1? 53 + 8? 17. How many are 8 + 88? + 39 ? + 39 ? 184+33? 147+ Pt? 18. How many are 4 +3+? Then how many are 45 + 33 ? 19. How many are 37 + 86 ? 911 +-881 ? 55 +8z? 619 + 156? 20. How many are 1841 +421 ? 33 + 431 ? 8289 +3484 ? 21. How many are 14 + 1 + 1? Solution. 11 + H=17 or 114, and 114 + 1 = 174 = 21. Ans. Or, naming only results, we should say, 14, 17, or 114, 174, 27, Ans. 2nd Solution. Since 14 is less than 1, 14 + 1 = 17 +7=114. Now since it is to less than 1, 174 + 14 must equal 117 +=277. Or, naming only results, we should say, 14, 174, 274, Ans. 22. How many are 6++ $? 4++ ? 13 + 14 +? 23. How many are 18 + 33 + ? +H+H? 2+ + 47+H+ 34? 24. How many are df + ft + f + 31? + + + ? 25. How many are 3 + 4 +54 + 78? 94 + 4 + 54 +86? 26. How many are 6++218 + 41% tus +31 + 213 + if? 27. How many are 31% + 61 +213 + 131} + 15 + is +675 +7+4? 28. How many are 834 +235 + 385 +678 +379 + +36 + 198? 29. How many are 34 + 27 +46 + 27+ 7 + 175 +$? F. 1. How many are 1 ? Solution. 1-*=*=£, Ans. 2. How many are 1 -&? 1- $? 1- €? 1- ? 1-1? 3. How many are 1 1 - 4? 1- ? 1 13? 1-8? 4. How many are 134 – 11? 2nd Solution. 14 - H=1- H+ =*+2= , Ans. 3d Solution. 111 - ht=174-2-di=1-H= Xi, Ans. 5. How many are 1f - f? 114-1? 134 - 48? 133 - ? 6. How many are 18-i? 113 - 148? 16 -? 7. How many are 7 - ? Solution. 7=631, and 64- =64%. Therefore, 7– H=644, Ans. 8. How many are 8 - 4? 10 — *? 28 - 1? 37 * ? 41 9. How many are 12 - If? 87 134 ? 49 **? ? 10. How many are 164 - ? Solution. 163 – 1= 154 - =157, Ans. 2nd Solution. 163-f=16 - 4+f=15+ = 153, Ans. 3d Solution. 163 — = 163 – 5 - f = 15), Ans. 11. How many are 172 – 80? 144 - $? 344 - t? 12. How many are 15 - 29? 94% - 73? 4751 - 428? 13. How many are 311 - 14? 735 - ? 641 - 147? 14. How many are 45 - 2-3? 4. - 24? 15. How many are 1273-3-15? 121-375? 16. How many are 975 - 21% ? 816 - 334? 1793-53? 17. How many are 254 - 1813? 44.1, -- 227+? 371 - 1917? 18. How many are 49%} - 3143 ? 1363 - 4311 - 2541 ? 19. How many are 643 – 314 - 284 ? 374 + 64 — 274? 20. How many are 447 + 274 - 233 ? 164 + 284 - 193 - 131 ? 21. How many are 574 +254 — 169 — 238 ? 647 - 173 ? 22. How many are 443 - 273 +233 — 164 - 58 ? 23. How many are 28}} -63% +5,3 - 214? 24. How many are 273 - 198 - 2% +6% +4%? 25. How many are 10078 – 1616 - 1436 - 1816 - 2136? G. 1. Julia's father gave her to of a dollar, her mother gave her i, her uncle gave her št, and her brother gave her enough to make up 1 dollar. What part of a dollar did her brother give her ? She spent 5 of a dollar for books, 2 for pens and pencils, as for candy, and gave the rest to a charitable society. How much did she give to the charitable society ? 2. is of the scholars in a certain school were more than 15 years of age, jf were between 5 and 15, and the rest were under 5. What part of them were under 5 ? ff of them were girls, and the rest were boys. What part of the whole were boys ? st of them read in the first class, 14 in the second, 3 in the third, and the rest read in the primer. What part of the whole read in the primer ? 3. A farmer has 17 4 acres of tillage, 2713 acres of pasturage, 215 acres of woodland, and 78 acres of orchard. How many acres of land has he in all? If he should buy 1211 acres of meadow, and 97 acres of salt-marsh, how many acres of land would he have ? 4. Jabez had 4 pieces of fish-line. The first piece contained 64 yds., the second 23 yds., the third 3 yds., and the fourth 9 yds. How many yards of line has he in all ? How many more has he in all than there are in the first piece ? than in the second ? than in the third ? than in the fourth? If he give the first piece, and 24 yards from the third, to Abner, how many yards will he have left ? 5. Alfred spent 14 hours per day in studying arithmetic, 211 hours in studying his reading and spelling lessons, 111 hours in studying his geography, and ti of an hour in studying his grammar. How many hours did he spend in studying all his lessons ? How many more hours in studying his reading and spelling lessons, than his arithmetic ? than his geography ? than his grammar ? Besides the time spent in studying, he spent 2 hours per day in reciting, 19 hours in doing errands and working for his father, 241 hours in playing, 11 hours at his meals, and the rest of the time in sleeping. How many hours of each day did he spend in sleeping? How many more hours did he spend in sleeping than in studying? than in playing? than in doing errands ? than in reciting? than at his meals ? 6. Farmer Bowen had 1745 tons of hay in his barn, and 1533 tons in his stacks. How many tons did he have in all ? He moved 31 tons from his stacks into his barn. How many did he then have in his barn? in his stacks? How many more tons in his barn than in his stacks? 7. A girl picked 26 quarts of blackberries in a week. She picked 32 qts. on Monday, 511 qts. on Tuesday, 472. qts. on Wednesday, 313 qts. on Thursday, 573 qts. on Friday, and the rest on Saturday forenoon. How many quarts did she pick on Saturday forenoon? She sold 12; qts., and gave the rest to her mother. How many quarts did she give to her mother? Her mother used 24 quarts for pies, 17 quarts for puddings, and then dried the rest. How many quarts did she dry ? 8. Farmer Wilson and his son John, were engaged in gathering apples. Farmer Wilson gathered 84 barrels on Monday, 74 on Tuesday, 94 on Wednesday, 64 on Thursday, 74 on Friday, and 87 on Saturday. John gathered 54 barrels on Monday, 44 on Tuesday, 6% on Wednesday, 38 on Thursday, and on Friday, after having gathered 17 barrels, he fell from a tree and hurt him, so that he was unable to do any more work during the week. How many did Farmer Wilson gather during the week? tons How many did John gather? How many did they both gather ? How many more did Farmer Wilson gather than John ? 9. The same farmer sold 8% barrels of his apples to Mr. Allen, 73 barrels to Mr. Hewitt, 117 to Mr. Willis, 14; to Mr. Brown, 12; to Mr. Jones, 78 to Mr. Bell, and kept the remainder for his own use ? How many barrels did he keep for his own use? How many did he sell? He received from Mr. Allen, in payment for his apples, 150 dollars, from Mr. Hewitt 1336 dollars, from Mr. Willis 2516 dollars, from Mr. Brown 2326 dollars, from Mr. Jones 2211 dollars, and from Mr. Bell 1117 dollars. How many dollars did he receive in all ? SECTION X. A. 1. How many are 7 x 3 ? Solution. 7 times 3 = one more three than 6 times 3; 6 times 3 = 18, and 18 + 3 21. Therefore, 7 times 3 = 21. 2. How many are 3 x 7? 8 X 3? 3 X 8? 6 X 4? 3. 4 X 6? 5 X 5? 9 X 3? 3 X 9? 7 X 4? 4. 4 X 7? 6 X 5? 5 X 6? i0 X 3? 3 X 10? 5. 8 X 4? 4 X 8? 7 x 5? 5 X 7? 6 X 6 ? 6.9 X 4? 4 X 9? 10 X 4? 4 X 10 ? 8 X 5? 7. 5 X 8? 7 X 6? 6 X 7? 9 x 5? 5 X 9? 8. 8 X 6? 6 X 8? 7 X 7? 10 X 5? 5 X 10 ? 9. 9 x 6? 6 X 9? 7 X 8? 8 x 7? 10 x 6? 10. 6 X 10 ? 9 X 7? 7 x 9? 8 X 8? 10 X 7? 11. 7 X 10? 9 X 8? 8 x 9? 10 X 8? 8 X 10 ? 12. 9 X 9? 10 x 9? 9 X 10 ? 10 X 10 ? B. 1. How many times 4= 20 ? 40? 28? 32 ? 24? 36 ? 2. How many times 10 = 40 ? 80 ? 20 ? 50 ? 90? 30 ? 60 ? 100 ? 70? 3. How many times 7=28? 49 ? 63? 35 ? 70 ? 21 ? 56 ? 42 ? 14 ? 4. How many times 3: 30? 21 ? 27 ? 24 ? 5. How many times 8 = 40 ? 64? 24? 32 ? 80 ? 48? 72 ? 56 ? |