13 hundreds 2 hundred times and a remainder. The 2 is written in hundreds' place in the quotient and the divisor multiplied by it. Subtracting this product from the partial dividend, 13 hundreds, there is a remainder of 1 hundred. 1 hundred remainder is equal to 10 tens. 10 tens plus 9 tens equal 19 tens. 6 is contained in 19 tens 3 tens times and a remainder. The 3 is written in tens' place in the quotient, and the divisor multiplied by it. Subtracting this product from the partial dividend, 19 tens, there is a remainder of 1 ten in the quotient. The 1 ten remainder equals 10 units. 10 units plus 8 units equal 18 units. 6 is contained in 18 units 3 times and no remainder. The 3 is written in units' place in the quotient, and the divisor multiplied by it. Hence the quotient is 233. SLATE EXERCISES. Copy and divide the following: (2.) (3.) (4.) (5.) 5)328600 8) 728800 6) 63546( 3) 56841 ( (6.) (7.) (8.) (9.) 4) 87564( 7) 67326 ( 9) 27819( 7) 58562 ( (10.) (11.) (12.) (13.) 6) 38412 ( 5) 42865 ( 8) 32848 ( 4) 48264( (14.) (15.) (16.) (17.) 7) 54285 ( 9) 32616 ( 8) 42856( 9) 49842 The solution of examples having a small divisor, may be shortened by performing the multiplications and subtractions without writing the results. This process is called Short Division. PROCESS. The solution of Example 1, by short division, is: EXPLANATION.—6 is contained in 13 hun dreds 2 hundred times and 1 hundred remain6)1398 der. The 2 is written in the quotient under 233 units of the same order in the dividend. 1 hundred remainder and 9 tens make 19 tens. 6 is contained in 19 tens 3 tens times and 1 ten remainder. The 3 is written in the quotient under tens in the dividend. 1 ten remainder and 8 units make 18 units. 6 is contained in 18 units 3 times. The 3 is written in the quotient under units. Hence the quotient is 233. Solve by short division: • 7. 18. 4761 ; 3. 19. 5848 ; 4. 20. 3725 : 5. 21. 4865 : 7. 22. 2814 : 6. 23. 7254 ; 9. 24. 9328 ; 8. 25. 6832 = 7. 26. 9745 ; 5. 27. 6835 : 5. 28. 7281 ; 9. 29. 3234 : 6. 30. 5948 : 4. 31. 1275 : 3. 32. 3577 - 7. 33. 3486 = 6. 34. 9648 = 8. 35. 8936 = 9. 36. 8532; 6. 37. 6435 : 5. LESSON LXXVII. PROCESS. 1. Divide 4825 by 26. EXPLANATION.—26 is not contained Divisor. Dividend. Quotient. in 4 thousands any thousands times, 26) 4 8 25 (185 hence, the thousands are united with 26 the hundreds, making 48 hundreds. 26 is contained in 48 hundreds 1 hundred 2 2 2 times and a remainder. The 1 is writ208 ten in hundreds place in the quotient and the divisor multiplied by it, giving 145 a product of 26 hundreds. Subtracting 130 this product from the partial dividend Remainder 15 48, there is a remainder of 22 hundreds. 22 hundreds united with 2 tens make 222 tens. 26 is contained in 222 tens 8 tens times and a remainder. The 8 is written in tens' place in the quotient and the divisor multiplied by it, giving a product of 208 tens. Subtracting this product from the partial dividend there is a remainder of 14 tens. 14 tens united with 5 units make 145 units. 26 is contained in 145 units 5 times and a remainder. The 5 is written in units' place in the quotient and the divisor multiplied by it, giving a product of 130 units. Subtracting, there is a remainder of 15. Therefore the quotient is 185, and the remainder, 15. 11. Divide: 2. 864 by 12. Divide : 4788 by 84. 12. 3696 by 66. 13. 1904 by 28. 14. 3277 by 29. 15. 5706 by 46. 16. 45658 by 37. 17. 55484 by 26. DENOMINATE NUMBERS LESSON LXXVIII. UNITED STATES MONEY. The money of the United States is called United States Money. The standard unit is the dollar. The denomination dimes is not generally used. 1. How many mills are there in 2 cents? In 5 cents? In 10 cents ? 2. How many cents are there in 2 dimes? In 4 dimes? In 7 dimes? In 10 dimes or 1 dollar? In 5 dimes or one-half of a dollar ? 3. How many cents are there in $2? In $3? In $1? In $5? 4. How many dollars are there in 200 cents? In 300 cents? In 400 cents? In 500 cents ? 5. In 450 cents how many dollars are there, and how many cents besides? In 375 cents ? In 425 cents ? In 870 cents ? In 684 cents? In 296 cents ? 18.39 14.27 1. In expressing dollars and cents by figures, a period called the decimal point, is placed between the dollars and the cents. Thus, 265 cents are equal to $2.65, which is read, 2 dollars, 65 cents. 2. When less than 10 cents are written, a cipher must be written before the number. Thus, 5 cents are written, $.05. 3. Mills are written after the cents. Thus, $2.655 read, 2 dollars, 65 cents, 5 mills. 6. Read the following: $3.25; $6.38; $7.24; $6.05; $2.46; $7.24; $5.18; $7.36 ; $3.02; $5.07; $2.15; $4.16. 7. Write the following: Five dollars twenty-nine cents. LESSON LXXIX. SLATE EXERCISES. Copy and add the following: (1.) (2.) (3.) (4.) (5.) |