ELEMENTARY ARITHMETIC FOR FOURTH AND FIFTH GRADES. By J. W. GRAHAM. AUTHOR OF "THIRD GRADE LESSONS IN ARITHMETIC, "SECOND GRADE "THE PEARL SPEAKER." {COPYRIGHTED BY J W GRAHAM.] B. F. JOHNSON PUBLISHING COMPANY, RICHmond, Va. 1895. The following twelve lessons will furnish a review of the rules of the Primary Arithmetic to freshen and restore what may have been forgotten during vacation. A youth of advanced years entering school without preparation may successfully begin with this book. I. 1. Add 3654, 8769, 5738, 376, 29,437. 3. Subtract 79 from 711 until nothing remains. 4. Multiply the following numbers by 2 and add your answers: 3756, 8756, 9764, 9706, 7589, 37504, 46704. 5. Divide the following numbers by 2: 4768, 47696, 45050, 37606, 67304, 11000. Add your quotients. (The teacher should require pupils to write name of every term in these and following examples.) II. 1. Add 537, 69504, 48, 53073, 476955, 908703. Prove. 2. Take 683 from 6147 until nothing remains. 3. Multiply numbers in first example by 2. Add your answers. 4. Divide numbers in first example by 3. Add your quotients. Mark every term in the lesson. III. 1. Add 35072, 87616, 34768, 75060, 378948, 707072. Prove. 2. Subtract 579 from 5211 until nothing remains. 3. Multiply the numbers in first example by 23. 4. Multiply the numbers in first example by 32. 5. Divide numbers in first example by 4. Add quotients and prove. IV. 1. Divide the following numbers first by 2, and then by 3, and then by 4: 8769, 48956, 387504, 8765, 330375, 6575, 4084. 2. Subtract 356 from 3916 until nothing remains. 3. Multiply the following numbers-first by 23, and then by 32: 487, 9762, 4876, 4878. Find sum of all your answers. V. 1. Multiply following numbers-first by 34, then by 43, then by 42: 6703, 47609, 87604. Find the sum of the twelve products. 2. Divide following numbers by 3, then by 4: 6704, 37695, 3. Divide numbers in second example by 5. VI. 1. Multiply following numbers by 45, and then by 54, then by 53: 67895, 3798, 4762, 378. 2. Divide the following numbers by 5, and then by 4: 68954, 37695, 876, 9848, 650367, 860864. VII. 1. Multiply following numbers by 56 and by 67: 87322, 476954, 76954. Add answers. 2. Divide following numbers by 6: 46895, 673284, 8956. 3742, 87695, 390872, 3. Subtract 467 from 3736 untii nothing remains. VIII. 1. Multiply following numbers by 6, then by 7, then by 8: 87324, 4693 9, 893246. Add answers. Mark all the terms. 2. Divide following numbers by 6, and by 7, and by 8: 36954, 87695, 37694, 476953. Mark all the terms. IX. 1. Subtract 3759 from 30072 until nothing remains. Mark all the terms. 2. Multiply following numbers by 6, and by 7, and by 8: 36795, 3476, 87695, 37648. Add your twelve products. 3. Divide the following numbers by 6, by 7, and by 8: 30132, 8769, 37695, 47695. X. 1. Subtract 2468 from 22212 until nothing remains. Mark all the terms. Write the difinition of addition; of subtraction; multiplication; division. 2. Multiply following numbers by 8, and by 9: 376, 476, 789, 398, 6785, 3376. Mark all the terms. XI. 1. Multiply following numbers by 89, then by 98: 3674, 8705, 3719, 6503. Mark all the terms. 2. Define minuend, subtrahend, remainder, and mark these terms in an example of your own. 3. Define multiplicand, multiplier, product, and mark these terms in an example of your own. XII. 1. Multiply following numbers by 8, and by 9: 376, 4835, 7695, 7656. Mark all the terms. 2. Divide answers in first example by 8, and by 9. 3. Define dividend, divisor, quotient. (The teacher should make children thorough in the drill of these twelve lessons. There will be abundant time for completing the first half of the book, because every principal is so thoroughly and so frequently reviewed that there is hardly any need of making special review. Teachers, however, will use their own discretion') TO TEACHERS. THIS book presupposes that the pupils using it have been trained in the author's "Third Grade Lessons," or have had similar training from other sources. It is hope and confidently urged that instructors will carry out every suggestion and direction. The little trouble entailed thereby will be repaid many fold. (4) FOURTH GRADE EXERCISES. 1. What is division? I. 2. 2)4786 2)8734 2)8432 2)78346 2)93106 3. 2)391056 2)9546 2)87356 2)47858 2)53198 (The teacher will place two pupils at the board, with the example before them, and require each to perform the steps as successively read by different members of the class, according to the following procedure.) (1) We are required to find how many times 23 is contained in 12558. (2) Or 23 in 125. (Teacher will observe to place a dot above and between the figures containing the divisor and the other figures of the dividend.) (3) Or 2 in 12. (Place the 6 in the quotient, multiply, and let the pupils see that 6 times 23 is greater than 125. Let them determine whether 5 is the figure required.) (4) Multiply 23 by 5. (5) Subtract 115 from 125. (5) |