Efficiency Arithmetic Volume 3; Advanced (Paperback)

This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1917 Excerpt: ... short methods in every problem where they apply. Exercise 17 To divide a number by 33, multiply the number by 3 and divide by 100. Show that this method is correct by using fractions. 1. Divide 400 by 33f 3X400=1200. 1200-=-100 = 12. 400-5-33 = 12. 2. 7504-33= 5. 75-7-33 = 3. 900-7-33 = 6. 125-33 = 4. 660 H-33= 7. 480-=-33J = 8. Show a short method of dividing a number by 12 . 9. Show a short method of dividing a number by 16f. 10. Show a short method of dividing a number by 66 . Exercise 18 One may often save time by dividing a number by two factors of the divisor. 1. Divide 774 by 18. 3)774 6)258 774-18 = 43. 43 Perform the following divisions by using factors of the divisor: 2. 555-7-15 = 6. 2720-7-32 = 8. 1176-7-56 = 3. 1674-e-27 = 6. 2835-7-45 = 9. 2765-5-35 = 4. 688-e-16= 7. 2706-7-33= 10. 1148-7-28 = 11. A farmer raised 2860 bushels of corn on 44 acres of ground. Find the yield per acre. 12. A load of shelled corn weighed 1596 pounds. A bushel of shelled corn weighs 56 pounds. How many bushels were there in the load? REVIEW OF FRACTIONS The different processes in fractions should become just as familiar to us as the four fundamental operations in whole numbers. Practice on the following exercises until you can do each of them in 2 minutes. Refer to pages 26 to 32 in Part I for explanations of these processes if they are not clear. MISCELLANEOUS PROBLEMS Exercise 26 DECIMALS 1. Add: 8.25;.072; 7.055.0075; 13.5;.068. 2. Add: .0054; 3.125; 11.2347; 3.1416;.7854;.866. 3. 2150.42-1728 =?. 6. 425.68-98.375 =? 4. 6.5-1.4142 =? 6. $2-$1.37 =? 7. Multiply 324.5 by.035. 8. What is the principle of pointing off decimal places in the product? 9..032X2.8 =? 12. 4.05X.62 =? 10. 3.1416X25 =? 13. 63.3X25.7 =? 11..0025X.03 =? 14..008X.0016 =? 16. Divi...